Relevant bibliographies by topics / Divergence-free method

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Divergence-free method'

Author: Grafiati
Published: 2 September 2023

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Journal articles on the topic "Divergence-free method"

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Huerta, Antonio, Yolanda Vidal, and Pierre Villon. "Pseudo-divergence-free element free Galerkin method for incompressible fluid flow." Computer Methods in Applied Mechanics and Engineering 193, no. 12-14 (2004): 1119–36. http://dx.doi.org/10.1016/j.cma.2003.12.010.

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Klingenberg, Christian, Frank Pörner, and Yinhua Xia. "An Efficient Implementation of the Divergence Free Constraint in a Discontinuous Galerkin Method for Magnetohydrodynamics on Unstructured Meshes." Communications in Computational Physics 21, no. 2 (2017): 423–42. http://dx.doi.org/10.4208/cicp.180515.230616a.

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AbstractIn this paper we consider a discontinuous Galerkin discretization of the ideal magnetohydrodynamics (MHD) equations on unstructured meshes, and the divergence free constraint (∇·B=0) of its magnetic field B. We first present two approaches for maintaining the divergence free constraint, namely the approach of a locally divergence free projection inspired by locally divergence free elements [19], and another approach of the divergence cleaning technique given by Dedner et al. [15]. By combining these two approaches we obtain a efficient method at the almost same numerical cost. Finally,
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Avdeeva, E. N., and V. V. Lukin. "Divergence-free finite-difference method for 2D ideal MHD." Journal of Physics: Conference Series 1336 (November 2019): 012026. http://dx.doi.org/10.1088/1742-6596/1336/1/012026.

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Fu, Guosheng. "An Explicit Divergence-Free DG Method for Incompressible Magnetohydrodynamics." Journal of Scientific Computing 79, no. 3 (2019): 1737–52. http://dx.doi.org/10.1007/s10915-019-00909-2.

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Fu, Guosheng. "An explicit divergence-free DG method for incompressible flow." Computer Methods in Applied Mechanics and Engineering 345 (March 2019): 502–17. http://dx.doi.org/10.1016/j.cma.2018.11.012.

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Li, Shengtai. "A fourth-order divergence-free method for MHD flows." Journal of Computational Physics 229, no. 20 (2010): 7893–910. http://dx.doi.org/10.1016/j.jcp.2010.06.044.

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Zhang, Man, and Xueshang Feng. "A Three-Order, Divergence-Free Scheme for the Simulation of Solar Wind." Universe 8, no. 7 (2022): 371. http://dx.doi.org/10.3390/universe8070371.

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In this paper, we present a three-order, divergence-free finite volume scheme to simulate the steady state solar wind ambient. The divergence-free condition of the magnetic field is preserved by the constrained transport (CT) method. The CT method can keep the magnetic fields divergence free if the magnetic fields is divergence free initially. Thus, a least-squares reconstruction of magnetic field with the divergence free constraints is used to make the magnetic fields global solenoidality initially. High order spatial accuracy is obtained through a non-oscillatory hierarchical reconstruction,
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Deng, Yongbo, and Jan G. Korvink. "Topology optimization for three-dimensional electromagnetic waves using an edge element-based finite-element method." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 472, no. 2189 (2016): 20150835. http://dx.doi.org/10.1098/rspa.2015.0835.

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This paper develops a topology optimization procedure for three-dimensional electromagnetic waves with an edge element-based finite-element method. In contrast to the two-dimensional case, three-dimensional electromagnetic waves must include an additional divergence-free condition for the field variables. The edge element-based finite-element method is used to both discretize the wave equations and enforce the divergence-free condition. For wave propagation described in terms of the magnetic field in the widely used class of non-magnetic materials, the divergence-free condition is imposed on t
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Qin, Si-xue. "A divergence-free method to extract observables from correlation functions." Physics Letters B 742 (March 2015): 358–62. http://dx.doi.org/10.1016/j.physletb.2015.02.009.

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Hiptmair, Ralf, Lingxiao Li, Shipeng Mao, and Weiying Zheng. "A fully divergence-free finite element method for magnetohydrodynamic equations." Mathematical Models and Methods in Applied Sciences 28, no. 04 (2018): 659–95. http://dx.doi.org/10.1142/s0218202518500173.

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We propose a finite element method for the three-dimensional transient incompressible magnetohydrodynamic equations that ensures exactly divergence-free approximations of the velocity and the magnetic induction. We employ second-order semi-implicit timestepping, for which we rigorously establish an energy law and, as a consequence, unconditional stability. We prove unique solvability of the linear systems of equations to be solved in every timestep. For those we design an efficient preconditioner so that the number of preconditioned GMRES iterations is uniformly bounded with respect to the num
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Dissertations / Theses on the topic "Divergence-free method"

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Qin, Tong. "An exactly divergence-free finite element method for non-isothermal flow problems." Thesis, University of British Columbia, 2013. http://hdl.handle.net/2429/45013.

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In this thesis the exactly divergence-free finite element method developed by Cockburn, Scheotzau and Kanschat in [13] and [14] is studied. This method is first reviewed in the context of Stokes problem. An interior penalty discontinuous Galerkin approach is formulated and analysed in the unified framework established in [13], [14] and [37]. Then we extend the method to non-isothermal flow problems, in particular, to a generalised Boussinesq equation. Following the work by Ricardo, Scheotzau and Qin in [34], the method is formulated and the numerical analysis is reviewed. Numerical examples
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Wang, Xue. "Preconditioned solenoidal basis method for incompressible fluid flows." Texas A&M University, 2004. http://hdl.handle.net/1969.1/3295.

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This thesis presents a preconditioned solenoidal basis method to solve the algebraic system arising from the linearization and discretization of primitive variable formulations of Navier-Stokes equations for incompressible fluid flows. The system is restricted to a discrete divergence-free space which is constructed from the incompressibility constraint. This research work extends an earlier work on the solenoidal basis method for two-dimensional flows and three-dimensional flows that involved the construction of the solenoidal basis P using circulating flows or vortices on a uniform mesh. A l
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Poletto, Ruggero. "Divergence free development of the synthetic eddy method in order to improve synthetic turbulence for embedded LES simulations." Thesis, University of Manchester, 2015. https://www.research.manchester.ac.uk/portal/en/theses/divergence-free-development-of-the-synthetic-eddy-method-in-order-to-improve-synthetic-turbulence-for-embedded-les-simulations(2f45de25-fa39-4be1-b18d-252a73a09999).html.

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In order to increase results accuracy and to provide some time-dependency to CFD results, embedded RANS/LES simulations are getting more and more interesting. In order to run these simulations accurate LES boundary conditions are required, not to affect the downstream results with a poor quality synthetic turbulence generation. Considering the currently developped methodologies, it is not possible to generate a divergence free turbulent flow which satisfy a non isotropic state of turbulence. The author started from the Synthetic Eddy Method (SEM) defined by Jarrin (2009), and defined a new sha
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Estibals, Élise. "Modélisation MHD et simulation numérique par des méthodes volumes finis. Application aux plasmas de fusion." Thesis, Université Côte d'Azur (ComUE), 2017. http://www.theses.fr/2017AZUR4023/document.

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Ce travail traite de la modélisation des plasmas de fusion qui est ici abordée à l'aide d'un modèle Euler bi-températures et du modèle de la magnétohydrodynamique (MHD) idéale et résistive. Ces modèles sont tout d'abord établis à partir des équations de la MHD bi-fluide et nous montrons qu'ils correspondent à des régimes asymptotiques différents pour des plasmas faiblement ou fortement magnétisés. Nous décrivons ensuite les méthodes de volumes finis pour des maillages structurés et non-structurés qui ont été utilisées pour approcher les solutions de ces modèles. Pour les trois modèles mathémat
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Sherif, Ahmed. "Compact High-Order Accurate Scheme for Laminar Incompressible Two-Phase Flows." Electronic Thesis or Diss., Ecole centrale de Nantes, 2023. http://www.theses.fr/2023ECDN0004.

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L'objectif de cette thèse est de développer une méthode précise d'ordre élevé pour résoudre le problème d'écoulementlaminaire incompressible à deux phases. Trois tâches principales sont à accomplir. Premièrement, la méthode doit être stable en énergie, ce qui signifie que la condition sans divergence de l'équation de Navier-Stokes incompressible est satisfaite partout dans le domaine de calcul. Deuxièmement, les discontinuités locales apparaissant dans le champ d'écoulement diphasique doivent être capturées avec précision. Troisièmement, l'interface matérielle entre les deux fluides doit être
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Schraeder, Daniela. "Analytically divergence-free discretization methods for Darcy's problem." Thesis, University of Sussex, 2010. http://sro.sussex.ac.uk/id/eprint/2327/.

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Radial basis functions are well known for their applications in scattered data approximation and interpolation. They can also be applied in collocation methods to solve partial differential equations. We develop and analyse a mesh-free discretization method for Darcy's problem. Our approximation scheme is based upon optimal recovery, which leads to a collocation scheme using divergence-free positive denite kernels. Besides producing analytically incompressible flow fields, our method can be of arbitrary order, works in arbitrary space dimension and for arbitrary geometries. Firstly we establis
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Birkevold, Jens. "Divergence-free Isogeometric Methods for Flow in Porous Media." Thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for matematiske fag, 2012. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-19546.

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This thesis is focused on solving the Darcy flow problem using divergence-free isogeometric methods, and comparing these results to the ones obtained using traditional finite element methods with Taylor Hood elements. A short introduction to B-splines is given, and a chapter is also about using repeated knots in the knot vectors to obtain a discontinuous basis for the finite element method. This can be useful when dealing with varying permeabilities.
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Schroeder, Philipp W. [Verfasser], Gert [Akademischer Betreuer] Lube, Gert [Gutachter] Lube, Andreas [Gutachter] Dillmann, and Leo G. [Gutachter] Rebholz. "Robustness of High-Order Divergence-Free Finite Element Methods for Incompressible Computational Fluid Dynamics / Philipp W. Schroeder ; Gutachter: Gert, Lube; Andreas, Dillmann; Leo G., Rebholz ; Betreuer: Gert, Lube." Göttingen : Niedersächsische Staats- und Universitätsbibliothek Göttingen, 2019. http://d-nb.info/1180026489/34.

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"Properties of Divergence-Free Kernel Methods for Approximation and Solution of Partial Differential Equations." Doctoral diss., 2016. http://hdl.handle.net/2286/R.I.39449.

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abstract: Divergence-free vector field interpolants properties are explored on uniform and scattered nodes, and also their application to fluid flow problems. These interpolants may be applied to physical problems that require the approximant to have zero divergence, such as the velocity field in the incompressible Navier-Stokes equations and the magnetic and electric fields in the Maxwell's equations. In addition, the methods studied here are meshfree, and are suitable for problems defined on complex domains, where mesh generation is computationally expensive or inaccurate, or for problems wh
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Schroeder, Philipp W. "Robustness of High-Order Divergence-Free Finite Element Methods for Incompressible Computational Fluid Dynamics." Doctoral thesis, 2019. http://hdl.handle.net/11858/00-1735-0000-002E-E5BC-8.

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Books on the topic "Divergence-free method"

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Mhuiris, Nessan Mac Giolla. The construction and use of divergence free vector expansions for incompressible fluid flow calculations. ICASE, 1986.

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Blaha, Stephen. The origin of the standard model: The genesis of four quark and lepton species, parity violation, the electro weak sector, color SU(3), three visible generations of fermions, and one generation of dark matter with dark energy ; Quantum theory of the third kind : a new type of divergence-free quantum field theory supporting a unified standard model of elementary particles and quantum gravity based on a new method in the calculus of variations. Pingree-Hill Publishing, 2006.

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Blaha, Stephen. Quantum Theory of the Third Kind: A New Type of Divergence-free Quantum Field Theory Supporting a Unified Standard Model of Elementary Particles and Quantum Gravity based on a New Method in the Calculus of Variations. 2nd ed. Pingree-Hill Publishing, 2005.

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The construction and use of divergence free vector expansions for incompressible fluid flow calculations: [final report]. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1986.

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Book chapters on the topic "Divergence-free method"

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Cuvelier, C., A. Segal, and A. A. van Steenhoven. "Divergence-free elements." In Finite Element Methods and Navier-Stokes Equations. Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-010-9333-0_9.

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Vorozhtsov, Evgenii V., and Vasily P. Shapeev. "A Divergence-Free Method for Solving the Incompressible Navier–Stokes Equations on Non-uniform Grids and Its Symbolic-Numeric Implementation." In Computer Algebra in Scientific Computing. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-26831-2_28.

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Turek, Stefan. "Multigrid Techniques for Simple Discretely Divergence-free Finite Element Spaces." In Multigrid Methods IV. Birkhäuser Basel, 1994. http://dx.doi.org/10.1007/978-3-0348-8524-9_24.

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Harouna, Souleymane Kadri, and Valérie Perrier. "No-Slip and Free-Slip Divergence-Free Wavelets for the Simulation of Incompressible Viscous Flows." In Cartesian CFD Methods for Complex Applications. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-61761-5_3.

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Kaliyeva, Kulyash. "Energy Conservation Law for the Turbulent Motion in the Free Atmosphere." In Advances in Systems Analysis, Software Engineering, and High Performance Computing. IGI Global, 2016. http://dx.doi.org/10.4018/978-1-4666-8823-0.ch003.

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This chapter presents convergent-divergent flow in the free atmosphere which is governed by the three dimensional Navier-Stokes equations and deals with the fundamental problem of fluid dynamics. Considering air movement under influence divergence and rotation were found the true dependencies between the velocity vector and the pressure distribution. Following the classical procedure by using rotor operator and a well-known formula of vector analysis were obtained the second kind nonlinear Volterra-Fredholm integral equations in a matrix form which contained only three components of the velocity vector. According to the theory of the matrix operators were defined the velocity components by the successive approximation method. According to the obtained balance equation for the pressure distribution were defined significant properties of the transient convergent-divergent flow which provide a description of the constitutive relationships between three physical quantities: the velocity vector, the external and internal forces, the pressure distribution.
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"Divergence-free biorthogonal wavelets." In Wavelet Analysis and Multiresolution Methods. CRC Press, 2000. http://dx.doi.org/10.1201/9781482290066-15.

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"Divergence-Free Multiwavelets on Rectangular Domains." In Wavelet Analysis and Multiresolution Methods. CRC Press, 2000. http://dx.doi.org/10.1201/9781482290066-14.

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Cockburn, Bernardo, Fengyan Li, and Chi-Wang Shu. "Discontinuous Galerkin methods for equations with divergence-free solutions." In Computational Fluid and Solid Mechanics 2003. Elsevier, 2003. http://dx.doi.org/10.1016/b978-008044046-0.50465-6.

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COCKBURN, B., F. LI, and C. SHU. "Discontinuous Galerkin methods for equations with divergence-free solutionspreliminary results." In Computational Fluid and Solid Mechanics 2003. Elsevier, 2003. http://dx.doi.org/10.1016/b978-008044046-0/50465-6.

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Ammari, Habib, Elie Bretin, Josselin Garnier, Hyeonbae Kang, Hyundae Lee, and Abdul Wahab. "Layer Potential Techniques." In Mathematical Methods in Elasticity Imaging. Princeton University Press, 2015. http://dx.doi.org/10.23943/princeton/9780691165318.003.0002.

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This chapter considers some well-known results on the solvability and layer potentials for static and time-harmonic elasticity equations. It first reviews commonly used function spaces before introducing equations of linear elasticity and decomposing the displacement field into the sum of an irrotational (curl-free) and a solenoidal (divergence-free) field using the Helmholtz decomposition theorem. It then discusses the radiation condition for the time-harmonic elastic waves, which is used to select the physical solution to exterior problems. It also describes the layer potentials associated with the operators of static and time-harmonic elasticity, along with their mapping properties, and proves decomposition formulas for the displacement fields. Finally, it derives the Helmholtz–Kirchhoff identities, analyzes Neumann and Dirichlet functions, and states a generalization of Meyer's theorem concerning the regularity of solutions to the equations of linear elasticity.
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Conference papers on the topic "Divergence-free method"

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Yang, Shunchuan, Zhizhang David Chen, Yiqiang Johnny Yu, and Sergey Ponomarenko. "A vector-based divergence-free meshless method." In 2014 16th International Symposium on Antenna Technology and Applied Electromagnetics (ANTEM). IEEE, 2014. http://dx.doi.org/10.1109/antem.2014.6887728.

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Thompson, Richard J., and Trevor M. Moeller. "Finite Volume Method for Divergence-free Solutions to Maxwell's Equations." In 47th AIAA Plasmadynamics and Lasers Conference. American Institute of Aeronautics and Astronautics, 2016. http://dx.doi.org/10.2514/6.2016-3226.

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Kawai, Soshi. "High-order divergence-free method for compressible MHD with shock waves." In 44th AIAA Plasmadynamics and Lasers Conference. American Institute of Aeronautics and Astronautics, 2013. http://dx.doi.org/10.2514/6.2013-2756.

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Poletto, R., Alistair Revell, Timothy J. Craft, and Nicolas Jarrin. "DIVERGENCE FREE SYNTHETIC EDDY METHOD FOR EMBEDDED LES INFLOW BOUNDARY CONDITIONS." In Seventh International Symposium on Turbulence and Shear Flow Phenomena. Begellhouse, 2011. http://dx.doi.org/10.1615/tsfp7.2040.

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Kroger, H., and Nikolai Kornev. "Generation of Artificial Scalar Fluctuations based on the Divergence-Free Turbulent Spot Method." In THMT-18. Turbulence Heat and Mass Transfer 9 Proceedings of the Ninth International Symposium On Turbulence Heat and Mass Transfer. Begellhouse, 2018. http://dx.doi.org/10.1615/thmt-18.1020.

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Shams, Sheyda, and Masoud Movahhedi. "Dispersive Divergence-Free Vector Meshless Method for Time-Domain Analysis of Frequency-Dependent Media." In 2020 IEEE Asia-Pacific Microwave Conference (APMC 2020). IEEE, 2020. http://dx.doi.org/10.1109/apmc47863.2020.9331486.

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Choudhary, Aniruddha, Christopher J. Roy, Jean-François Dietiker, Mehrdad Shahnam, and Rahul Garg. "Code Verification for Multiphase Flows Using the Method of Manufactured Solutions." In ASME 2014 4th Joint US-European Fluids Engineering Division Summer Meeting collocated with the ASME 2014 12th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/fedsm2014-21608.

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Code verification is the process of ensuring, to the degree possible, that there are no algorithm deficiencies and coding mistakes (bugs) in a computational fluid dynamics (CFD) code. In order to perform code verification, the Method of Manufactured Solutions (MMS) is a rigorous technique that can be used in the absence of exact solution to the problem. This work addresses major aspects of performing code verification for multiphase flow codes using the open-source, multiphase flow code MFIX which employs a staggered-grid and a modified SIMPLE-based algorithm. Code verification is performed on
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Sherif, A., M. Visonneau, G. Deng, and L. Eça. "Divergence-Free Extended Hybridizable Discontinuous Galerkin Method (X-HDG) For Laminar Incompressible Two-Phase Flow." In 10th International Conference on Adaptative Modeling and Simulation. CIMNE, 2021. http://dx.doi.org/10.23967/admos.2021.035.

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Papnourias, Konstantinos, and John Ekaterinaris. "Numerical solution of the Maxwell Equations With A High-Order Divergence Free Preserving DG Method." In 43rd AIAA Plasmadynamics and Lasers Conference. American Institute of Aeronautics and Astronautics, 2012. http://dx.doi.org/10.2514/6.2012-3296.

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Muldoon, Frank, and Sumanta Acharya. "Mass Conservation in the Immersed Boundary Method." In ASME 2005 Fluids Engineering Division Summer Meeting. ASMEDC, 2005. http://dx.doi.org/10.1115/fedsm2005-77301.

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The immersed boundary approach for the modeling of complex geometries in incompressible flows is examined critically from the perspective of satisfying boundary conditions and mass conservation. The system of discretized equations for mass and momentum can be inconsistent if the real velocities are used in defining the forcing terms used to satisfy the boundary conditions. As a result, the velocity is generally not divergence free and the pressure at locations in the vicinity of the immersed boundary is not physical. However, the use of the pseudo velocities in defining the forcing (as frequen
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Reports on the topic "Divergence-free method"

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Yogev, David, Ricardo Rosenbusch, Sharon Levisohn, and Eitan Rapoport. Molecular Pathogenesis of Mycoplasma bovis and Mycoplasma agalactiae and its Application in Diagnosis and Control. United States Department of Agriculture, 2000. http://dx.doi.org/10.32747/2000.7573073.bard.

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Mycoplasma bovis and M. agalactiae are two phylogenetically related mycoplasmas which cause economically significant diseases in their respective bovine or small ruminant hosts. These organisms cause persistent asymptomatic infections that can result in severe outbreaks upon introduction of carrier animals into susceptible herds. Little is known about the mechanisms underlying mycoplasma-host interaction, variation in virulence, or of the factors enabling avoidance of the host immune system. In recent years it has become apparent that the ability of pathogenic microorganisms to rapidly alter s
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