Relevant bibliographies by topics / Implicit-Explicit schemes

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Academic literature on the topic 'Implicit-Explicit schemes'

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Published: 5 April 2025

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Journal articles on the topic "Implicit-Explicit schemes"

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Yang, Xiaozhong, and Lifei Wu. "An Efficient Parallel Approximate Algorithm for Solving Time Fractional Reaction-Diffusion Equations." Mathematical Problems in Engineering 2020 (August 26, 2020): 1–17. http://dx.doi.org/10.1155/2020/4524387.

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In this paper, we construct pure alternative segment explicit-implicit (PASE-I) and implicit-explicit (PASI-E) difference algorithms for time fractional reaction-diffusion equations (FRDEs). They are a kind of difference schemes with intrinsic parallelism and based on classical explicit scheme and classical implicit scheme combined with alternating segment technology. The existence and uniqueness analysis of solutions of the parallel difference schemes are given. Both the theoretical proof and the numerical experiment show that PASE-I and PASI-E schemes are unconditionally stable and convergent with second-order spatial accuracy and 2−α order time accuracy. Compared with implicit scheme and E-I (I-E) scheme, the computational efficiency of PASE-I and PASI-E schemes is greatly improved. PASE-I and PASI-E schemes have obvious parallel computing properties, which shows that the difference schemes with intrinsic parallelism in this paper are feasible to solve the time FRDEs.
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Handlovičová, Angela, and Karol Mikula. "Finite Volume Schemes for the Affine Morphological Scale Space (Amss) Model." Tatra Mountains Mathematical Publications 80, no. 3 (December 1, 2021): 53–70. http://dx.doi.org/10.2478/tmmp-2021-0031.

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Abstract Finite volume (FV) numerical schemes for the approximation of Affine Morphological Scale Space (AMSS) model are proposed. For the scheme parameter θ, 0 ≤ θ ≤ 1 the numerical schemes of Crank-Nicolson type were derived. The explicit (θ = 0), semi-implicit, fully-implicit (θ = 1) and Crank-Nicolson (θ = 0.5) schemes were studied. Stability estimates for explicit and implicit schemes were derived. On several numerical experiments the properties and comparison of the numerical schemes are presented.
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Pan, Yueyue, Lifei Wu, and Xiaozhong Yang. "A New Class of Difference Methods with Intrinsic Parallelism for Burgers–Fisher Equation." Mathematical Problems in Engineering 2020 (August 14, 2020): 1–17. http://dx.doi.org/10.1155/2020/9162563.

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This paper proposes a new class of difference methods with intrinsic parallelism for solving the Burgers–Fisher equation. A new class of parallel difference schemes of pure alternating segment explicit-implicit (PASE-I) and pure alternating segment implicit-explicit (PASI-E) are constructed by taking simple classical explicit and implicit schemes, combined with the alternating segment technique. The existence, uniqueness, linear absolute stability, and convergence for the solutions of PASE-I and PASI-E schemes are well illustrated. Both theoretical analysis and numerical experiments show that PASE-I and PASI-E schemes are linearly absolute stable, with 2-order time accuracy and 2-order spatial accuracy. Compared with the implicit scheme and the Crank–Nicolson (C-N) scheme, the computational efficiency of the PASE-I (PASI-E) scheme is greatly improved. The PASE-I and PASI-E schemes have obvious parallel computing properties, which show that the difference methods with intrinsic parallelism in this paper are feasible to solve the Burgers–Fisher equation.
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Qin, Xiao, Xiaozhong Yang, and Peng Lyu. "A class of explicit implicit alternating difference schemes for generalized time fractional Fisher equation." AIMS Mathematics 6, no. 10 (2021): 11449–66. http://dx.doi.org/10.3934/math.2021663.

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<abstract><p>The generalized time fractional Fisher equation is one of the significant models to describe the dynamics of the system. The study of effective numerical techniques for the equation has important scientific significance and application value. Based on the alternating technique, this article combines the classical explicit difference scheme and the implicit difference scheme to construct a class of explicit implicit alternating difference schemes for the generalized time fractional Fisher equation. The unconditional stability and convergence with order $ O\left({\tau }^{2-\alpha }+{h}^{2}\right) $ of the proposed schemes are analyzed. Numerical examples are performed to verify the theoretical analysis. Compared with the classical implicit difference scheme, the calculation cost of the explicit implicit alternating difference schemes is reduced by almost $ 60 $%. Numerical experiments show that the explicit implicit alternating difference schemes are also suitable for solving the time fractional Fisher equation with initial weak singularity and have an accuracy of order $ O\left({\tau }^{\alpha }+{h}^{2}\right) $, which verify that the methods proposed in this paper are efficient for solving the generalized time fractional Fisher equation.</p></abstract>
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Wu, Lifei, and Xiaozhong Yang. "An Efficient Alternating Segment Parallel Difference Method for the Time Fractional Telegraph Equation." Advances in Mathematical Physics 2020 (March 2, 2020): 1–11. http://dx.doi.org/10.1155/2020/6897815.

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The fractional telegraph equation is a kind of important evolution equation, which has an important application in signal analysis such as transmission and propagation of electrical signals. However, it is difficult to obtain the corresponding analytical solution, so it is of great practical value to study the numerical solution. In this paper, the alternating segment pure explicit-implicit (PASE-I) and implicit-explicit (PASI-E) parallel difference schemes are constructed for time fractional telegraph equation. Based on the alternating segment technology, the PASE-I and PASI-E schemes are constructed of the classic explicit scheme and implicit scheme. It can be concluded that the schemes are unconditionally stable and convergent by theoretical analysis. The convergence order of the PASE-I and PASI-E methods is second order in spatial direction and 3-α order in temporal direction. The numerical results are in agreement with the theoretical analysis, which shows that the PASE-I and PASI-E schemes are superior to the classical implicit schemes in both accuracy and efficiency. This implies that the parallel difference schemes are efficient for solving the time fractional telegraph equation.
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Whitaker, Jeffrey S., and Sajal K. Kar. "Implicit–Explicit Runge–Kutta Methods for Fast–Slow Wave Problems." Monthly Weather Review 141, no. 10 (September 25, 2013): 3426–34. http://dx.doi.org/10.1175/mwr-d-13-00132.1.

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Abstract Linear multistage (Runge–Kutta) implicit–explicit (IMEX) time integration schemes for the time integration of fast-wave–slow-wave problems for which the fast wave has low amplitude and need not be accurately simulated are investigated. The authors focus on three-stage, second-order schemes and show that a scheme recently proposed by one of them (Kar) is unstable for purely oscillatory problems. The instability is reduced if the averaging inherent in the implicit part of the scheme is decentered, sacrificing second-order accuracy. Two alternative schemes are proposed with better stability properties for purely oscillatory problems. One of these utilizes a 3-cycle Lorenz scheme for the slow-wave terms and a trapezoidal scheme for the fast-wave terms. The other is a combination of two previously proposed schemes, which is stable for purely oscillatory problems for all fast-wave frequencies when the slow-wave frequency is less than a critical value. The alternative schemes are tested using a global spectral shallow-water model and a version of the NCEP operational global forecast model. The accuracy and stability of the alternative schemes are discussed, along with their computational efficiency.
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Yang, Xiao Zhong, and Gao Xin Zhou. "Improved Additive Operator Splitting Algorithms for Basket Option Pricing Model." Advanced Materials Research 756-759 (September 2013): 2739–43. http://dx.doi.org/10.4028/www.scientific.net/amr.756-759.2739.

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In order to solve Black-Scholes equation of basket option pricing model by numerical method. This paper used Additive Operator Splitting (AOS) algorithm to split the multi-dimensional Black-Scholes equation into equivalent one-dimensional equation set, and constructed 'Explicit-Implicit' and 'Implicit-Explicit' schemes to solve it. Then compatibility, stability and convergence of those schemes were analyzed. Finally, this paper compared computation time and precision of the schemes through numerical experiments. 'Explicit-Implicit' and 'Implicit-Explicit' schemes of AOS algorithms have both higher accuracy and faster computing speed and them have practical significance in solving basket option pricing model.
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Zhang, Shiyan, and Khalid Al-Asadi. "Evaluating the Effect of Numerical Schemes on Hydrological Simulations: HYMOD as A Case Study." Water 11, no. 2 (February 14, 2019): 329. http://dx.doi.org/10.3390/w11020329.

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The importance of numerical schemes in hydrological models has been increasingly recognized in the hydrological community. However, the relationship between model performance and the properties of numerical schemes remains unclear. In this study, we employed two types of numerical schemes (i.e., explicit Runge-Kutta schemes with different orders of accuracy and partially implicit Euler schemes with different implicit factors) in the hydrological model (HYMOD) to simulate the flow hydrograph of the Leaf River basin from 1948 to 1988. Results computed by different numerical schemes were compared and the relationships between model performance and two scheme properties (i.e., the order of accuracy and the implicit factor) were discussed. Results showed that the more explicit schemes generally lead to the overestimation of flow hydrographs, whereas the more implicit schemes lead to underestimation. In addition, the numerical error tended to decrease with increasing orders of accuracy. As a result, the optimal parameter sets found by low-order schemes significantly deviated from those found by the analytical solution. The findings of this study can provide useful implications for designing suitable numerical schemes for hydrological models.
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Hussain, Nawab, Vivek Kumar, Preety Malik, and Renu Chugh. "Jungck-type implicit iterative algorithms with numerical examples." Filomat 31, no. 8 (2017): 2303–20. http://dx.doi.org/10.2298/fil1708303h.

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We introduce a new Jungck-type implicit iterative scheme and study its strong convergence, stability under weak parametric restrictions in generalized convex metric spaces and data dependency in generalized hyperbolic spaces. We show thatnewintroduced iterative scheme has better convergence rate as compared to well known Jungck implicit Mann, Jungck implicit Ishikawa and Jungck implicit Noor iterative schemes. It is also shown that Jungck implicit iterative schemes converge faster than the corresponding Jungck explicit iterative schemes. Validity of our analytic proofs is shown through numerical examples. Our results are improvements and generalizations of some recent results of Khan et al.[21], Chugh et al.[8] and many others in fixed point theory.
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Durran, Dale R., and Peter N. Blossey. "Implicit–Explicit Multistep Methods for Fast-Wave–Slow-Wave Problems." Monthly Weather Review 140, no. 4 (April 2012): 1307–25. http://dx.doi.org/10.1175/mwr-d-11-00088.1.

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Implicit–explicit (IMEX) linear multistep methods are examined with respect to their suitability for the integration of fast-wave–slow-wave problems in which the fast wave has relatively low amplitude and need not be accurately simulated. The widely used combination of trapezoidal implicit and leapfrog explicit differencing is compared to schemes based on Adams methods or on backward differencing. Two new families of methods are proposed that have good stability properties in fast-wave–slow-wave problems: one family is based on Adams methods and the other on backward schemes. Here the focus is primarily on four specific schemes drawn from these two families: a pair of Adams methods and a pair of backward methods that are either (i) optimized for third-order accuracy in the explicit component of the full IMEX scheme, or (ii) employ particularly good schemes for the implicit component. These new schemes are superior, in many respects, to the linear multistep IMEX schemes currently in use. The behavior of these schemes is compared theoretically in the context of the simple oscillation equation and also for the linearized equations governing stratified compressible flow. Several schemes are also tested in fully nonlinear simulations of gravity waves generated by a localized source in a shear flow.
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Dissertations / Theses on the topic "Implicit-Explicit schemes"

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Zhao, Song. "Explicit and implicit large eddy simulation of turbulent combustion with multi-scale forcing." Thesis, Orléans, 2016. http://www.theses.fr/2016ORLE2023/document.

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Le contexte de cette étude est l’optimisation de la combustion turbulente prémélangée de syngaz pour la production propre d’énergie. Un brûleur CH4/air de type bec Bunsen avec forçage turbulent multi-échelles produit par un système de trois grilles, est simulé numériquement par différentes techniques de simulation des grandes échelles (SGE), et les résultats sont comparés à l’expérience. On a développé et appliqué une formulation bas-Mach du solveur Navier-Stokes basé sur différents schémas numériques, allant des différences finies centrées d’ordre 4 à des versions avancées des schémas WENO d’ordre 5. La méthodologie est évaluée sur une série de cas-tests classiques (flamme laminaire 1D prémélangée, turbulence homogène et isotrope en auto-amortissement), et sur des simulations 2D de la flamme turbulente prémélangée expérimentale. Les SGE implicites (ILES), i.e. sans aucune modélisation sous-maille, et explicites avec le modèle de flamme épaissie et un modèle de plissement sous-maille nouvellement élaboré (TFLES), sont appliquées à la simulation 3D du brûleur expérimental. Les résultats montrent que l’approche TFLES avec un schéma d’ordre élevé à faible dissipation numérique prédit correctement la longueur de la flamme et la densité de surface de flamme. La SGE implicite avec un schéma WENO avancé produit une flamme trop courte mais réaliste à condition que la taille de la maille soit de l’ordre de l’épaisseur de flamme laminaire. La représentation des interactions flamme/turbulence est néanmoins très différente entre TFLES et ILES
The context of this study is the optimization of premixed turbulent combustion of syngas for clean energy production. A Bunsen-type CH4/air turbulent premixed burner with a multi-scale grid generator is simulated with different Large Eddy Simulation (LES) strategies and compared to experimental results. A low-Mach formulation of a compressible Navier-Stokes solver based on different numerical methods, ranging from 4th order central finite difference to 5th order advanced WENO schemes, is developed and applied. Classical test cases (1D laminar premixed flame, decaying HIT), and 2D simulations of the turbulent premixed flame are performed to assess the numerical methodology. Implicit LES (ILES), i.e. LES without any explicit subgrid modeling, and explicit LES with the Thickened Flame model and subgrid scale flame wrinkling modelling (TFLES) are applied to simulate numerically the 3D experimental burner. Results show that TFLES with a high-order low dissipation scheme predicts quite well the experimental flame length and flame surface density. ILES with advanced WENO schemes produces a slightly shorter although realistic flame provided the grid spacing is of order of the laminar flame thickness. The representation of flame/turbulence interactions in TFLES and ILES are however quite different
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Gulavani, Omkar Vitthal. "Comparative assessment of implicit and explicit finite element solution schemes for static and dynamic civilian aircraft seat certification (CS25.561 and CS25.562)." Thesis, Cranfield University, 2013. http://dspace.lib.cranfield.ac.uk/handle/1826/10387.

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Due to the competitive nature of airline industry and the desire to minimise aircraft weight, there is a continual drive to develop lightweight, reliable and more comfortable seating solutions, in particular, a new generation slim economy seat. The key design challenge is to maximise the “living space” for the passenger, with strict adherence to the ‘Crash Safety Regulations’. Cranfield University is addressing the needs of airliners, seat manufactures and safety regulating bodies by designing a completely novel seat structure coined as “Sleep Seat”. A generous angle of recline (40 degree), movement of “Seat Pan” along the gradient, fixed outer shell of the backrest, and a unique single “Forward Beam” design distinguishes “Sleep Seat” form current generation seats. It is an ultra-lightweight design weighing 8kg (typical seat weight is 11kg). It has to sustain the static (CS 25.561) and dynamic (CS25.562) “Emergency landing” loads as specified by “Certification Specifications (CS). Apart from maintaining structural integrity; a seat-structure must not deform, which would impede evacuation, should absorb energy so that the loads transferred to Occupants are within human tolerance limits and should always maintain survivable space around the Occupant. All these parameters, which increase a life-expectancy in a ‘survivable’ crash, can be estimated using either experimental testing or virtual simulation tools such as “Finite Element Analysis (FEA). Design of the “Sleep Seat” is still in its conceptual phase and therefore experimental testing for all the design iterations involved is unrealistic, given a measure of the costs and timescales involved. Therefore focus of research is to develop practical and robust FE methodologies to assess static and dynamic performances of a seat-structure so as to compare different design concepts based on their strength, seat interface loads (a limit defined by strength of aircraft-floor), maximum deformations and cross-sectional forces ... [cont.].
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Reboul, Louis. "Development and analysis of efficient multi-scale numerical methods, with applications to plasma discharge simulations relying on multi-fluid models." Electronic Thesis or Diss., Institut polytechnique de Paris, 2024. http://www.theses.fr/2024IPPAX134.

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Notre objectif principal est le développement et l’analyse de schémas numériques multi-échelles pour la simulation de modèles multi-fluides appliqués au plasma froids basse-pression. La configuration d’intérêt inclut typiquement l’apparition d’instabilités et de gaines, des zones chargées micrométriques qui se forment lors du contact d’un plasma avec des parois. Le modèle prototype est le système d’Euler-Poisson isotherme, mais nous considérons également les modèles simplifiés des équations hyperboliques de la chaleur et d’Euler-friction isotherme pour analyser et développer les méthodes numériques. Dans un premier axe, nous développons et analysons un schéma préservant l’asymptotique d’ordre deux couplé temps-espace implicite-explicite pour les équations hyperboliques de la chaleur (cas linéaire). Nous étendons ensuite la méthode au cas non-linéaire des équations d’Euler-friction isotherme avec coefficient de relaxation non-uniforme. Nous montrons également des résultats théoriques supplémentaires sur des limiteurs de flux adaptés schémas préservant l’asymptotique, et sur une nouvelle méthode équilibre. Dans un second axe, nous proposons plusieurs méthodes numériques pour les équations d’Euler-Poisson ayant une meilleure résolution des configurations avec gaines. Dans un dernier axe, ces méthodes sont utilisées pour effectuer une étude paramétrique de gaines isothermes 2D rectangulaires, à divers régimes collisionnels et ratios d’aspect. Nous comparons nos résultats à des simulations PIC et à des solutions de référence. Nous montrons qu’une simulation d’un modèle fluide avec une méthode numérique adaptée permet une accélération substantielle du calcul et une meilleure précision de la solution obtenue. Nous discutons de l’extension des méthodes multi-échelles aux équations d’Euler complètes et au cas magnétisé dans les perspectives de notre travail
Our main focus is the design and analysis of multi-scale numerical schemes for the simulation of multi-fluid models applied to low-temperature low-pressure plasmas. Our typical configuration of interest includes the onset of instabilities and sheaths, i.e. micrometric charged boundary layers that form at the plasma chamber walls. Our prototypical plasma model is the isothermal Euler-Poisson system of equations, but we also consider simpler models, the hyperbolic heat equations and the isothermal Euler-friction Equations, for the development and analysis of numerical methods. In a first axis, we develop and analyze a uniformly asymptotic-preserving second-order time-space coupling implicit-explicit method for the hyperbolic heat equations (linear case). We provide theoretical results on flux limiters for asymptotic-preserving methods, and a new well-balanced strategy. In a second axis, we propose several methods for the Euler-Poisson system of equations, to improve the accuracy of simulations of configurations featuring sheaths. In a third axis, we use these methods to conduct a parametric study of a 2D (rectangular) isothermal non-magnetized plasma discharge with sheaths, at various collisional regimes and aspect-ratios. We compare our result to PIC simulations and reference solutions. We show that simulating a fluid model with a tailored numerical method substantially reduces the time of simulation and improves the accuracy of the obtained solution. A discussion on the extensions of the multi-scale methods for the full non-isothermal Euler equations and to highly-magnetized cases is provided in the perspectives of our work
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Kolkman, Lauren Nicole. "Implementation of an implicit-explicit scheme for hybridizable discontinuous Galerkin." Thesis, Massachusetts Institute of Technology, 2018. http://hdl.handle.net/1721.1/119303.

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Thesis: S.M., Massachusetts Institute of Technology, Department of Aeronautics and Astronautics, 2018.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 51-52).
Finite element methods, specifically Hybridizable Discontinuous Galerkin (HDG), are used in many applications. One choice made when implementing HDG for a specific problem is whether time integration should be performed implicitly or explicitly. Both approaches have their advantages but, for some problems, a combination of these methods is a better choice than either on their own. Thus, an implicit-explicit (IMEX) scheme that splits the computational domain into implicit and explicit regions based on the domain geometry is considered in this thesis. This allows for stability throughout the domain and exploits the advantages each scheme has to offer. A study of the convergence and properties of this implementation of the IMEX method is presented along with comparisons to the individual methods.
by Lauren Nicole Kolkman.
S.M.
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Kalinoski, Zachary Thomas. "Recognizing the Implicit and Explicit Aspects of Ethical Decision-Making: Schemas, Work Climates, and Counterproductive Work Behaviors." Wright State University / OhioLINK, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=wright1339789100.

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Kunadian, Illayathambi. "NUMERICAL INVESTIGATION OF THERMAL TRANSPORT MECHANISMS DURING ULTRA-FAST LASER HEATING OF NANO-FILMS USING 3-D DUAL PHASE LAG (DPL) MODEL." UKnowledge, 2004. http://uknowledge.uky.edu/gradschool_theses/324.

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Ultra-fast laser heating of nano-films is investigated using 3-D Dual Phase Lag heat transport equation with laser heating at different locations on the metal film. The energy absorption rate, which is used to model femtosecond laser heating, is modified to accommodate for three-dimensional laser heating. A numerical solution based on an explicit finite-difference method is employed to solve the DPL equation. The stability criterion for selecting a time step size is obtained using von Neumann eigenmode analysis, and grid function convergence tests are performed. DPL results are compared with classical diffusion and hyperbolic heat conduction models and significant differences among these three approaches are demonstrated. We also develop an implicit finite-difference scheme of Crank-Nicolson type for solving 1-D and 3-D DPL equations. The proposed numerical technique solves one equation unlike other techniques available in the literature, which split the DPL equation into a system of two equations and then apply discretization. Stability analysis is performed using a von Neumann stability analysis. In 3-D, the discretized equation is solved using delta-form Douglas and Gunn time splitting. The performance of the proposed numerical technique is compared with the numerical techniques available in the literature.
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Marais, Neilen. "Efficient high-order time domain finite element methods in electromagnetics." Thesis, Stellenbosch : University of Stellenbosch, 2009. http://hdl.handle.net/10019.1/1499.

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Thesis (DEng (Electrical and Electronic Engineering))--University of Stellenbosch, 2009.
The Finite Element Method (FEM) as applied to Computational Electromagnetics (CEM), can beused to solve a large class of Electromagnetics problems with high accuracy and good computational efficiency. For solving wide-band problems time domain solutions are often preferred; while time domain FEM methods are feasible, the Finite Difference Time Domain (FDTD) method is more commonly applied. The FDTD is popular both for its efficiency and its simplicity. The efficiency of the FDTD stems from the fact that it is both explicit (i.e. no matrices need to be solved) and second order accurate in both time and space. The FDTD has limitations when dealing with certain geometrical shapes and when electrically large structures are analysed. The former limitation is caused by stair-casing in the geometrical modelling, the latter by accumulated dispersion error throughout the mesh. The FEM can be seen as a general mathematical framework describing families of concrete numerical method implementations; in fact the FDTD can be described as a particular FETD (Finite Element Time Domain) method. To date the most commonly described FETD CEM methods make use of unstructured, conforming meshes and implicit time stepping schemes. Such meshes deal well with complex geometries while implicit time stepping is required for practical numerical stability. Compared to the FDTD, these methods have the advantages of computational efficiency when dealing with complex geometries and the conceptually straight forward extension to higher orders of accuracy. On the downside, they are much more complicated to implement and less computationally efficient when dealing with regular geometries. The FDTD and implicit FETD have been combined in an implicit/explicit hybrid. By using the implicit FETD in regions of complex geometry and the FDTD elsewhere the advantages of both are combined. However, previous work only addressed mixed first order (i.e. second order accurate) methods. For electrically large problems or when very accurate solutions are required, higher order methods are attractive. In this thesis a novel higher order implicit/explicit FETD method of arbitrary order in space is presented. A higher order explicit FETD method is implemented using Gauss-Lobatto lumping on regular Cartesian hexahedra with central differencing in time applied to a coupled Maxwell’s equation FEM formulation. This can be seen as a spatially higher order generalisation of the FDTD. A convolution-free perfectly matched layer (PML) method is adapted from the FDTD literature to provide mesh termination. A curl conforming hybrid mesh allowing the interconnection of arbitrary order tetrahedra and hexahedra without using intermediate pyramidal or prismatic elements is presented. An unconditionally stable implicit FETD method is implemented using Newmark-Beta time integration and the standard curl-curl FEM formulation. The implicit/explicit hybrid is constructed on the hybrid hexahedral/tetrahedral mesh using the equivalence between the coupled Maxwell’s formulation with central differences and the Newmark-Beta method with Beta = 0 and the element-wise implicitness method. The accuracy and efficiency of this hybrid is numerically demonstrated using several test-problems.
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Demay, Charles. "Modélisation et simulation d'écoulements transitoires diphasiques eau-air dans les circuits hydrauliques." Thesis, Université Grenoble Alpes (ComUE), 2017. http://www.theses.fr/2017GREAM100/document.

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Ce travail est consacré à la modélisation mathématique et numérique des écoulements eau-air en conduite qui interviennent notamment dans les centrales de production d’électricité ou les réseaux d’eaux usées. On s’intéresse particulièrement aux écoulements mixtes caractérisés par la présence de régimes stratifiés pilotés par des ondes gravitaires lentes, de régimes en charge ou secs (conduite remplie d’eau ou d’air) pilotés par des ondes acoustiques rapides, et de poches d’air piégées. Une modélisation précise de ces écoulements est nécessaire afin de garantir le bon fonctionnement du circuit hydraulique sous-jacent. Alors que la plupart des modèles disponibles dans la littérature se concentrent sur la phase eau en négligeant la présence de l’air, un modèle bicouche compressible prenant en compte les interactions eau-air est proposé dans cette thèse. Sa construction réside dans l’intégration des équations d’Euler barotropes sur la hauteur de chaque phase et dans l’application de la contrainte hydrostatique sur le gradient de pression de l’eau. Le modèle obtenu est hyperbolique et satisfait une inégalité d’entropie en plus d’autres propriétés mathématiques notables, telles que l’unicité des relations de saut ou la positivité des hauteurs et densités de chaque phase. Au niveau discret, la simulation d’écoulements mixtes avec le modèle bicouche compressible soulève plusieurs défis en raison de la disparité des vitesses d’ondes caractérisant chaque régime, des processus de relaxation rapide sous-jacents, et de la disparition de l’une des phases dans les régimes en charge ou sec. Une méthode à pas fractionnaires implicite-explicite est alors développée en s’appuyant sur la relaxation rapide en pression et sur le mimétisme avec les équations de Saint-Venant pour la dynamique lente de la phase eau. En particulier, une approche par relaxation permet d’obtenir une stabilisation du schéma en fonction du régime d’écoulement. Plusieurs cas tests sont traités et démontrent la capacité du modèle proposé à gérer des écoulements mixtes incluant la présence de poches d’air piégées
The present work is dedicated to the mathematical and numerical modelling of transient air-water flows in pipes which occur in piping systems of several industrial areas such as nuclear or hydroelectric power plants or sewage pipelines. It deals more specifically with the so-called mixed flows which involve stratified regimes driven by slow gravity waves, pressurized or dry regimes (pipe full of water or air) driven by fast acoustic waves and entrapped air pockets. An accurate modelling of these flows is necessary to guarantee the operability of the related hydraulic system. While most of available models in the literature focus on the water phase neglecting the air phase, a compressible two-layer model which accounts for air-water interactions is proposed herein. The derivation process relies on a depth averaging of the isentropic Euler set of equations for both phases where the hydrostatic constraint is applied on the water pressure gradient. The resulting system is hyperbolic and satisfies an entropy inequality in addition to other significant mathematical properties, including the uniqueness of jump conditions and the positivity of heights and densities for each layer. Regarding the discrete level, the simulation of mixed flows with the compressible two-layer model raises key challenges due to the discrepancy of wave speeds characterizing each regime combined with the fast underlying relaxation processes and with phase vanishing when the flow becomes pressurized or dry. Thus, an implicit-explicit fractional step method is derived. It relies on the fast pressure relaxation in addition to a mimetic approach with the shallow water equations for the slow dynamics of the water phase. In particular, a relaxation method provides stabilization terms activated according to the flow regime. Several test cases are performed and attest the ability of the compressible two-layer model to deal with mixed flows in pipes involving air pocket entrapment
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Stauffert, Maxime. "Simulation numérique d'écoulements compressibles complexes par des méthodes de type Lagrange-projection : applications aux équations de Saint-Venant." Thesis, Université Paris-Saclay (ComUE), 2018. http://www.theses.fr/2018SACLV045/document.

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On étudie dans le cadre de la thèse une famille de schémas numériques permettant de résoudre les équations de Saint-Venant. Ces schémas utilisent une décomposition d'opérateur de type Lagrange-projection afin de séparer les ondes de gravité et les ondes de transport. Un traitement implicite du système acoustique (relié aux ondes de gravité) permet aux schémas de rester stable avec de grands pas de temps. La correction des flux de pression rend possible l'obtention d'une solution approchée précise quel que soit le régime d'écoulement vis-à-vis du nombre de Froude. Une attention toute particulière est portée sur le traitement du terme source qui permet la prise en compte de l'influence de la topographie. On obtient notamment la propriété dite équilibre permettant de conserver exactement certains états stationnaires, appelés état du "lac au repos". Des versions 1D et 2D sur maillages non-structurés de ces méthodes ont été étudiées et implémentées dans un cadre volumes finis. Enfin, une extension vers des méthodes ordres élevés Galerkin discontinue a été proposée en 1D avec des limiteurs classiques ainsi que combinée avec une boucle MOOD de limitation a posteriori
In this thesis we study a family of numerical schemes solving the shallow water equations system. These schemes use a Lagrange-projection like splitting operator technique in order to separate the gravity waves and the transport waves. An implicit-explicit treatment of the acoustic system (linked to the gravity waves) allows the schemes to stay stable with large time step. The correction of the pressure fluxes enables the obtain of a precise approximation solution whatever the regime flow is with respect to the Froude number. A particular attention has been paid over the source term treatment which permits to take the topography into account. We especially obtain the so-called well-balanced property giving the exact conservation of some steady states, namely the "lake at rest" state. 1D and 2D versions of this methods have been studied and implemented in the finite volumes framework. Finally, a high order discontinuous Galerkin extension has been proposed in 1D with classical limiters along with a combined MOOD loop a posteriori limiting strategy
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CHIOU, YEU-WEN, and 邱雨文. "A Numerical Study of Explicit and Implicit Upwind Schemes." Thesis, 1994. http://ndltd.ncl.edu.tw/handle/34286710388228481667.

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Books on the topic "Implicit-Explicit schemes"

1

Ananda, Himansu, and Lewis Research Center, eds. The implicit and explicit a-u [i.e. alpha-mu] schemes. [Cleveland, Ohio]: National Aeronautics and Space Administration, Lewis Research Center, 1998.

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Center, Ames Research, ed. Generalized formulation of a class of explicit and implicit TVD schemes. Moffett Field, Calif: National Aeronautics and Space Administration, Ames Research Center, 1985.

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National Aeronautics and Space Administration (NASA) Staff. Implicit and Explicit Alpha-Mu Schemes. Independently Published, 2018.

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Explicit and implicit compact high-resolution shock-capturing methods for multidimensional Euler equations I, formulation. Moffett Field, Calif: National Aeronautics and Space Administration, Ames Research Center, 1995.

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Rajeev, S. G. Finite Difference Methods. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.003.0014.

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This chapter offers a peek at the vast literature on numerical methods for partial differential equations. The focus is on finite difference methods (FDM): approximating differential operators by functions of difference operators. Padé approximants (Fornberg) give a unifying principle for deriving the various stencils used by numericists. Boundary value problems for the Poisson equation and initial value problems for the diffusion equation are solved using FDM. Numerical instability of explicit schemes are explained physically and implicit schemes introduced. A discrete version of theClebsch formulation of incompressible Euler equations is proposed. The chapter concludes with the radial basis function method and its application to a discrete version of the Lagrangian formulation of Navier–Stokes.
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Book chapters on the topic "Implicit-Explicit schemes"

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Ern, Alexandre, and Jean-Luc Guermond. "Implicit and explicit Euler schemes." In Finite Elements III, 147–60. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-57348-5_67.

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Eberhardt, B., O. Etzmuß, and M. Hauth. "Implicit-Explicit Schemes for Fast Animation with Particle Systems." In Eurographics, 137–51. Vienna: Springer Vienna, 2000. http://dx.doi.org/10.1007/978-3-7091-6344-3_11.

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Vabishchevich, Petr N., and Petr E. Zakharov. "Explicit-Implicit Splitting Schemes for Parabolic Equations and Systems." In Numerical Methods and Applications, 157–66. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-15585-2_18.

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Mudzimbabwe, Walter, and Lubin Vulkov. "Implicit-Explicit Schemes for European Option Pricing with Liquidity Shocks." In Novel Methods in Computational Finance, 243–51. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-61282-9_13.

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Adak, Malabika. "Comparison of Explicit and Implicit Finite Difference Schemes on Diffusion Equation." In Mathematical Modeling and Computational Tools, 227–38. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-3615-1_15.

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Rodrigues, Pedro, Pedro Guimarães, Adérito Araújo, Sílvia Barbeiro, Rui Bernardes, and Pedro Serranho. "Explicit and Semi-implicit Complex-Diffusion Schemes for Optical Coherence Tomography Despeckling." In Lecture Notes in Computer Science, 282–89. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-39094-4_32.

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van Zuijlen, Alexander, and Hester Bijl. "Implicit and Explicit Higher Order Time Integration Schemes for Fluid-Structure Interaction Computations." In Computational Science - ICCS 2004, 604–11. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-25944-2_78.

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Sukhinov, Alexander I., Alexander E. Chistyakov, Valentina V. Sidoryakina, and Elena A. Protsenko. "Explicit-Implicit Schemes for Parallel Solving of the Suspension Transport Problems in Coastal Systems." In Communications in Computer and Information Science, 39–50. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-36592-9_4.

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Shen, Long-jun. "Convergence conditions of the explicit and weak implicit finite difference schemes for parabolic systems." In Lecture Notes in Mathematics, 129–40. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0078545.

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Sabawi, Younis A., Mardan A. Pirdawood, Hemn M. Rasool, and Salisu Ibrahim. "Model Reduction and Implicit–Explicit Runge–Kutta Schemes for Nonlinear Stiff Initial-Value Problems." In Mathematics and Computation, 107–22. Singapore: Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-0447-1_9.

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Conference papers on the topic "Implicit-Explicit schemes"

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Longatte, E., Z. Bendjeddou, V. Verreman, and M. Souli. "Explicit and Implicit Code Coupling Schemes in Fluid Structure Interaction." In ASME 2005 Pressure Vessels and Piping Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/pvp2005-71647.

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In multi-physics numerical computations a good choice of code coupling schemes is required. Several methods are possible like: an explicit synchronous scheme an Euler implicit method and no interpolation on velocity pressure; an explicit asynchonous scheme using a Crank-Nicholson time integration scheme and interpolation on velocity and pressure; an implicit scheme using a fixed iterative method. In the present paper these different schemes are compared for application in fluid structure interaction field. In the first part numerical coupling schemes are presented. Then their capability to ensure energy conservation is discussed according to numerical results obtained in analytical test cases. Finally application of coupling process to fluid structure interaction problems is investigated and results are discussed in terms of added mass and damping induced by a fluid for a structure vibrating in fluid at rest.
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SAMARSKII, A. A., and P. N. VABISHCHEVICH. "EXPLICIT-IMPLICIT DIFFERENCE SCHEMES FOR CONVECTION-DIFFUSION PROBLEMS." In Proceedings of the Fourth International Conference. WORLD SCIENTIFIC, 1999. http://dx.doi.org/10.1142/9789814291071_0007.

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Schlegel, Martin, Oswald Knoth, Martin Arnold, Ralf Wolke, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Multirate Implicit-Explicit Time Integration Schemes in Atmospheric Modelling." In ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010. AIP, 2010. http://dx.doi.org/10.1063/1.3498252.

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Persson, Per-Olof. "High-Order LES Simulations using Implicit-Explicit Runge-Kutta Schemes." In 49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2011. http://dx.doi.org/10.2514/6.2011-684.

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Rylander, T. "Finite element methods with stable hybrid explicit-implicit time-integration schemes." In 2007 International Conference on Electromagnetics in Advanced Applications. IEEE, 2007. http://dx.doi.org/10.1109/iceaa.2007.4387318.

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Yu, Yaxin, Qian Li, Enxiao Liu, Ching Eng Png, and Xiaoxing Su. "Simulation of dispersive plasmas using implicit and explicit ADE-FDTD schemes." In 2015 IEEE 4th Asia-Pacific Conference on Antennas and Propagation (APCAP). IEEE, 2015. http://dx.doi.org/10.1109/apcap.2015.7374299.

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Ma, Can, Xinrong Su, Jinlan Gou, and Xin Yuan. "Runge-Kutta/Implicit Scheme for the Solution of Time Spectral Method." In ASME Turbo Expo 2014: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/gt2014-26474.

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This paper investigates the Runge-Kutta implicit scheme applied to the solution of the time spectral method for periodic unsteady flow simulation. Several explicit and implicit time integration schemes including the Runge-Kutta scheme, Block-Jacobi SSOR (symmetric successive over relaxation)scheme and Block-Jacobi Runge-Kutta/Implicit scheme are implemented into an in-house code and applied to the time marching solution of the time spectral method. The time integration is coupled with Full Approximation Storage (FAS) type multi-grid method for convergence acceleration. The in-house code is based on the finite volume method and solves the RANS (Reynolds Averaged Navier-Stokes) equations on multi-block structured mesh. For spatial discretization the 3rd/5th order WENO (weighted essentially nonoscillatory) upwind scheme is used for reconstruction and the convective flux is computed with Roe approximate Riemann solver. The widely used one-equation Spalart-Allmaras turbulence model is used in the simulations. The time integration schemes for the solution of the time spectral method are tested with two different compressor cascades with periodically oscillating inlet boundary conditions. The first case is a low speed compressor stator with inlet flow angle varying with time. The second case is a high speed compressor rotor with inlet boundary condition profile to simulation the influence of upstream wakes. The results show that for moderate frequencies and wave mode numbers, the Block-Jacobi Runge-Kutta/Implicit scheme shows favorable convergence behavior compared to the other schemes. However, for extremely high frequencies and wave mode numbers such as in the simulation of high rotating speed compressors, the advantage of the Block-Jacobi Runge-Kutta/Implicit scheme over the explicit Runge-Kutta scheme is totally lost.
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Rajaomazava, Tolotra Emerry, Mustapha Benaouicha, and Jacques-Andre´ Astolfi. "A Comparison Study of Coupling Algorithms for Fluid-Structure Interaction Problems." In ASME 2011 Pressure Vessels and Piping Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/pvp2011-57573.

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The influence of numerical schemes for solving coupled problem in fluid-structure interaction is addressed. A non-linear Burgers equation in a bounded domain with moving interface is solved by finite element method (FEM). The implicit and explicit coupling algorithms are studied with interface equation solved at outside then inside of Newton iterative procedure (referred to as implicit-outer, implicit-inner, explicit and semi-implicit schemes respectively). Iteration numbers and computing time are compared for each algorithm. The interface position and energy conservation condition at the interface are discussed.
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Jaewoo, An, Waziri Sohail, Ren Guotong, Tomin Pavel, Li Yan, and Zaki Karim. "Study on Coupling Parameters for Flow-Geomechanics Simulation Schemes." In SPE Reservoir Simulation Conference. SPE, 2025. https://doi.org/10.2118/223890-ms.

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Abstract Coupled fluid flow and geomechanics simulations can enhance the evaluation of induced seismicity in carbon sequestration and saltwater disposal, as well as facilitate the assessment of stress changes in shale and tight and deepwater reservoirs. This study investigates the significance of coupling parameters such as pore volume compressibility and coupling strength for utilizing each flow-geomechanics coupling scheme: one-way coupling, sequential-explicit, sequential-iterative, and fully-coupled schemes. The fully-coupled scheme solves all the problems simultaneously using a fully-coupled implicit formulation. Sequential and one-way coupling schemes solve a flow problem first and then solve a geomechanical problem with updated pressure. Sequential-iterative and sequential-explicit schemes are considered two-way coupling, where pore volume is calculated with feedback from geomechanical deformation and then passed to the flow solution. The one-way coupling scheme evaluates pore volume change in flow simulation with a pre-defined pore volume compressibility. Representative cases with different mechanical properties and various transient behavior were analyzed systematically to evaluate one-way coupling accuracy using uniaxial pore volume compressibility. In addition, the study demonstrates the coupling strength impact on non-linear convergence of sequential-iterative and fully implicit schemes. The study provides guidelines for optimized utilization of each coupling scheme. For example, one-way coupling could be sufficient for carbon sequestration under uniaxial deformation but may be inaccurate for shale and tight reservoirs.
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Wang, B. B., F. Li, and W. C. Lee. "Prediction of High Reynolds Number Compressible Flow Using an Explicit-Implicit Algorithm." In ASME 1994 International Gas Turbine and Aeroengine Congress and Exposition. American Society of Mechanical Engineers, 1994. http://dx.doi.org/10.1115/94-gt-089.

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Based on the analysis of several time-marching finite-difference schemes, an improved explicit-implicit numerical algorithm MC-LB has been developed. The algorithm is shown to be successful in predicting a variety of high Reynolds number viscous interior flows. Further, the computational efficiency of the algorithm is significantly better than existing schemes.
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Reports on the topic "Implicit-Explicit schemes"

1

Southworth, Benjamin, Tomasso Buvoli, Oliver Krzysik, Will Pazner, and Hans De Sterck. Fully Implicit Time Integration: Fast Solvers and Implicit-Explicit Schemes. Office of Scientific and Technical Information (OSTI), September 2021. http://dx.doi.org/10.2172/1820062.

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Chabaud, Brandon M. Benchmark Solutions in Solid Mechanics and Implicit-Explicit Schemes in radiation Hydrodynamics. Office of Scientific and Technical Information (OSTI), November 2013. http://dx.doi.org/10.2172/1107989.

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Thompson, Stephen, Brigitte Rohwerder, and Clement Arockiasamy. Freedom of Religious Belief and People with Disabilities: A Case Study of People with Disabilities from Religious Minorities in Chennai, India. Institute of Development Studies (IDS), June 2021. http://dx.doi.org/10.19088/creid.2021.003.

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India has a unique and complex religious history, with faith and spirituality playing an important role in everyday life. Hinduism is the majority religion, and there are many minority religions. India also has a complicated class system and entrenched gender structures. Disability is another important identity. Many of these factors determine people’s experiences of social inclusion or exclusion. This paper explores how these intersecting identities influence the experience of inequality and marginalisation, with a particular focus on people with disabilities from minority religious backgrounds. A participatory qualitative methodology was employed in Chennai, to gather case studies that describe in-depth experiences of participants. Our findings show that many factors that make up a person’s identity intersect in India and impact how someone is included or excluded by society, with religious minority affiliation, caste, disability status, and gender all having the potential to add layers of marginalisation. These various identity factors, and how individuals and society react to them, impact on how people experience their social existence. Identity factors that form the basis for discrimination can be either visible or invisible, and discrimination may be explicit or implicit. Despite various legal and human rights frameworks at the national and international level that aim to prevent marginalisation, discrimination based on these factors is still prevalent in India. While some tokenistic interventions and schemes are in place to overcome marginalisation, such initiatives often only focus on one factor of identity, rather than considering intersecting factors. People with disabilities continue to experience exclusion in all aspects of their lives. Discrimination can exist both between, as well as within, religious communities, and is particularly prevalent in formal environments. Caste-based exclusion continues to be a major problem in India. The current socioeconomic environment and political climate can be seen to perpetuate marginalisation based on these factors. However, when people are included in society, regardless of belonging to a religious minority, having a disability, or being a certain caste, the impact on their life can be very positive.
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