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Relevant bibliographies by topics / Semi- implicit discretizations

Academic literature on the topic 'Semi- implicit discretizations'

Author: Grafiati

Published: 11 March 2023

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Journal articles on the topic "Semi- implicit discretizations"

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Wu, Wenyuan, Greg Reid, and Silvana Ilie. "Implicit Riquier Bases for PDAE and their semi-discretizations." Journal of Symbolic Computation 44, no. 7 (July 2009): 923–41. http://dx.doi.org/10.1016/j.jsc.2008.04.020.

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Bartels, Sören, Lars Diening, and Ricardo H. Nochetto. "Unconditional Stability of Semi-Implicit Discretizations of Singular Flows." SIAM Journal on Numerical Analysis 56, no. 3 (January 2018): 1896–914. http://dx.doi.org/10.1137/17m1159166.

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Fernández, Miguel A., and Mikel Landajuela. "Splitting schemes and unfitted-mesh methods for the coupling of an incompressible fluid with a thin-walled structure." IMA Journal of Numerical Analysis 40, no. 2 (January 30, 2019): 1407–53. http://dx.doi.org/10.1093/imanum/dry098.

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Abstract Two unfitted-mesh methods for a linear incompressible fluid/thin-walled structure interaction problem are introduced and analyzed. The spatial discretization is based on different variants of Nitsche’s method with cut elements. The degree of fluid–solid splitting (semi-implicit or explicit) is given by the order in which the space and time discretizations are performed. The a priori stability and error analysis shows that strong coupling is avoided without compromising stability and accuracy. Numerical experiments with a benchmark illustrate the accuracy of the different methods proposed.

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Bartels, Sören. "Simulation of constrained elastic curves and application to a conical sheet indentation problem." IMA Journal of Numerical Analysis 41, no. 3 (February 24, 2021): 2255–79. http://dx.doi.org/10.1093/imanum/drab008.

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Abstract We consider variational problems that model the bending behavior of curves that are constrained to belong to given hypersurfaces. Finite element discretizations of corresponding functionals are justified rigorously via $\varGamma $-convergence. The stability of semi-implicit discretizations of gradient flows is investigated, which provide a practical method to determine stationary configurations. A particular application of the considered models arises in the description of conical sheet deformations.

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Ceniceros, Hector D., Jordan E. Fisher, and Alexandre M. Roma. "Efficient solutions to robust, semi-implicit discretizations of the immersed boundary method." Journal of Computational Physics 228, no. 19 (October 2009): 7137–58. http://dx.doi.org/10.1016/j.jcp.2009.05.031.

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Bénard, P. "Stability of Semi-Implicit and Iterative Centered-Implicit Time Discretizations for Various Equation Systems Used in NWP." Monthly Weather Review 131, no. 10 (October 2003): 2479–91. http://dx.doi.org/10.1175/1520-0493(2003)131<2479:sosaic>2.0.co;2.

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Oliver, Marcel, and Claudia Wulff. "Stability under Galerkin truncation of A-stable Runge–Kutta discretizations in time." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 144, no. 3 (May 16, 2014): 603–36. http://dx.doi.org/10.1017/s0308210512002028.

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We consider semilinear evolution equations for which the linear part is normal and generates a strongly continuous semigroup, and the nonlinear part is sufficiently smooth on a scale of Hilbert spaces. We approximate their semi-flow by an implicit A-stable Runge–Kutta discretization in time and a spectral Galerkin truncation in space. We show regularity of the Galerkin-truncated semi-flow and its time discretization on open sets of initial values with bounds that are uniform in the spatial resolution and the initial value. We also prove convergence of the space-time discretization without any condition that couples the time step to the spatial resolution. We then estimate the Galerkin truncation error for the semi-flow of the evolution equation, its Runge–Kutta discretization and their respective derivatives, showing how the order of the Galerkin truncation error depends on the smoothness of the initial data. Our results apply, in particular, to the semilinear wave equation and to the nonlinear Schrodinger equation.

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Cordero, Elisabetta, and Andrew Staniforth. "A Problem with the Robert–Asselin Time Filter for Three-Time-Level Semi-Implicit Semi-Lagrangian Discretizations." Monthly Weather Review 132, no. 2 (February 2004): 600–610. http://dx.doi.org/10.1175/1520-0493(2004)132<0600:apwtrt>2.0.co;2.

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Bonaventura, Luca, and Todd Ringler. "Analysis of Discrete Shallow-Water Models on Geodesic Delaunay Grids with C-Type Staggering." Monthly Weather Review 133, no. 8 (August 1, 2005): 2351–73. http://dx.doi.org/10.1175/mwr2986.1.

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Abstract The properties of C-grid staggered spatial discretizations of the shallow-water equations on regular Delaunay triangulations on the sphere are analyzed. Mass-conserving schemes that also conserve either energy or potential enstrophy are derived, and their features are analogous to those of the C-grid staggered schemes on quadrilateral grids. Results of numerical tests carried out with explicit and semi-implicit time discretizations show that the potential-enstrophy-conserving scheme is able to reproduce correctly the main features of large-scale atmospheric motion and that power spectra for energy and potential enstrophy obtained in long model integrations display a qualitative behavior similar to that predicted by the decaying turbulence theory for the continuous system.

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Carcano, S., L. Bonaventura, T. Esposti Ongaro, and A. Neri. "A semi-implicit, second-order-accurate numerical model for multiphase underexpanded volcanic jets." Geoscientific Model Development 6, no. 6 (November 4, 2013): 1905–24. http://dx.doi.org/10.5194/gmd-6-1905-2013.

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Abstract. An improved version of the PDAC (Pyroclastic Dispersal Analysis Code, Esposti Ongaro et al., 2007) numerical model for the simulation of multiphase volcanic flows is presented and validated for the simulation of multiphase volcanic jets in supersonic regimes. The present version of PDAC includes second-order time- and space discretizations and fully multidimensional advection discretizations in order to reduce numerical diffusion and enhance the accuracy of the original model. The model is tested on the problem of jet decompression in both two and three dimensions. For homogeneous jets, numerical results are consistent with experimental results at the laboratory scale (Lewis and Carlson, 1964). For nonequilibrium gas–particle jets, we consider monodisperse and bidisperse mixtures, and we quantify nonequilibrium effects in terms of the ratio between the particle relaxation time and a characteristic jet timescale. For coarse particles and low particle load, numerical simulations well reproduce laboratory experiments and numerical simulations carried out with an Eulerian–Lagrangian model (Sommerfeld, 1993). At the volcanic scale, we consider steady-state conditions associated with the development of Vulcanian and sub-Plinian eruptions. For the finest particles produced in these regimes, we demonstrate that the solid phase is in mechanical and thermal equilibrium with the gas phase and that the jet decompression structure is well described by a pseudogas model (Ogden et al., 2008). Coarse particles, on the other hand, display significant nonequilibrium effects, which associated with their larger relaxation time. Deviations from the equilibrium regime, with maximum velocity and temperature differences on the order of 150 m s−1 and 80 K across shock waves, occur especially during the rapid acceleration phases, and are able to modify substantially the jet dynamics with respect to the homogeneous case.

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Book chapters on the topic "Semi- implicit discretizations"

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Dolejší, Vít, and M. Holík. "Semi-Implicit DGFE Discretization of the Compressible Navier–Stokes Equations: Efficient Solution Strategy." In Numerical Mathematics and Advanced Applications 2009, 15–27. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11795-4_2.

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Dolejší, Vít, Martin Holík, and Jiří Hozman. "Semi-implicit Time Discretization of the Discontinuous Galerkin Method for the Navier-Stokes Equations." In Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 243–55. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-03707-8_17.

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Conference papers on the topic "Semi- implicit discretizations"

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Ruparel, Tejas, Azim Eskandarian, and James Lee. "Multiple Grid and Multiple Time-Scale (MGMT) Simulations in Continuum Mechanics." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-87651.

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The work presented in this paper describes a general formulation for implementation of Multiple Grid and Multiple Time-scale (MGMT) simulations in continuum mechanics. Using this method one can solve problems in structural dynamics in which the domain under consideration can be selectively discretized (spatially and temporally) in critical and remote regions, hence allowing the user to obtain a desired level of accuracy and save computational time. The formulation is based upon the fundamental principles of Domain Decomposition Methods (DDM) used to obtain the semi-discrete equation of motion for coupled sub-domains augmented with interface energy. Lagrange Multipliers, based on Schur’s dual formulation, are used to enforce interface conditions since they not only ensure energy balance but also enforce continuity of kinematic quantities across the interface. The Finite Element Tearing and Interconnecting (FETI) based Multi Time-step (MTS) coupling algorithm proposed by Prakash and Hjelmstad [1] is then used to obtain the evolution of unknown quantities in respective sub-domains using different time-steps and/or different variants of the Newmark Implicit Method. Our work is in the direction of coupling this MTS algorithm with multiple grid discretizations in respective subdomains. We propose using coarse grid discretization to define the mortar space between non-conforming sub-domains and show that this particular choice when combined with the implicit integration scheme yields a stable algorithm for MGMT simulations. The formulation is implemented, comprehensively, using Finite Element Methods and programming in FORTRAN 90. Several scenarios with different mesh densities and time-steps are evaluated to analyze the efficiency of MGMT simulations. The purpose of this paper is to study and evaluate its accuracy and stability by looking at evolution and distribution of quantities across the connecting interface. Results show that the interface coupling for non-conforming sub-domains with distinct integration time-steps can be efficiently modeled using this approach.

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Wetzlinger, Maximilian, Markus Reichhartinger, Martin Horn, Leonid Fridman, and Jaime A. Moreno. "Semi-implicit Discretization of the Uniform Robust Exact Differentiator." In 2019 IEEE 58th Conference on Decision and Control (CDC). IEEE, 2019. http://dx.doi.org/10.1109/cdc40024.2019.9028916.

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Vlasák, Miloslav, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "Optimal Error Estimates for Semi–implicit DG Time Discretization of Convection–Diffusion Problems." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3636886.

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Xing, Siyuan, and Albert C. J. Luo. "Period-1 Motions to Homoclinic Orbits in the Rössler System." In ASME 2022 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/detc2022-91029.

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Abstract In this study, period-1 motions in the Rössler system are predicted through a mapping structure of an implicit mapping. The implicit mapping is obtained from the discretization of the differential equations. The stability and bifurcation of the period-1 motions are discussed through the eigenvalue analysis. The period-1 motions varying with a system parameter is presented. The period-1 motion at its two limit ends connects to two homoclinic orbits through system parameter variation, and the corresponding approximate homoclinic orbit is presented semi-analytically. Numerical simulations of stable periodic motions are carried out for comparison to semi-analytical predictions.

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Luo, Albert C. J., and Siyuan Xing. "Period-3 Motions in a Periodically Forced, Damped, Double-Well Duffing Oscillator With Time-Delay." In ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/detc2017-67210.

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In this paper, period-3 motions in a double-well Duffing oscillator with time-delay are predicted by a semi-analytical method. The implicit mapping structures of period-3 motions are constructed through the implicit mappings obtained by discretization of the corresponding differential equation. Complex period-3 motions are predicted through nonlinear algebraic equations of the implicit mappings in the mapping structures and the corresponding stability and bifurcation are carried out through eigenvalue analysis. Numerical and analytical results of complex period-3 motions are obtained and the corresponding frequency-amplitude characteristics are presented.

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Michel, Loic, Malek Ghanes, Franck Plestan, Yannick Aoustin, and Jean-Pierre Barbot. "A noise less-sensing semi-implicit discretization of a homogeneous differentiator: principle and application." In 2021 European Control Conference (ECC). IEEE, 2021. http://dx.doi.org/10.23919/ecc54610.2021.9655022.

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Luo, Albert C. J., and Siyuan Xing. "On Time-Delay Effects on Period-1 Motions in a Periodically Forced, Time-Delayed, Duffing Oscillator." In ASME 2016 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/imece2016-66198.

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In recent decades, nonlinear time-delay systems were often applied in controlling nonlinear systems, and the stability of such time-delay systems was very actively discussed. Recently, one was very interested in periodic motions in nonlinear time-delay systems. Especially, the semi-analytical solutions of periodic motions in time-delay systems are of great interest. From the semi-analytical solutions, the nonlinearity and complexity of periodic motions in the time-delay systems can be discussed. In this paper, time-delay effects on periodic motions of a periodically forced, damped, hardening, Duffing oscillator are analytically discussed through a semi-analytical method. The semi-analytical method is based on discretization of the differential equation of such a Duffing oscillator to obtain the corresponding implicit discrete mappings. Through such implicit mappings and mapping structures of periodic motions, period-1 motions varying with time-delay are discussed, and the corresponding stability and bifurcation analysis of periodic motions are carried out through eigenvalue analysis. Numerical results of periodic motions are illustrated to verify analytical predictions. The corresponding harmonic amplitude spectrums and harmonic phases are presented for a better understanding of periodic motions in such a nonlinear oscillator.

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Luo, Albert C. J., and Siyuan Xing. "On Complex Periodic Motions in a Time-Delayed, Double-Well Duffing Oscillator With Strong Excitation." In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/detc2016-59343.

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The time-delayed double-well Duffing oscillator is extensively applied in engineering and particle physics. Determination of periodic motions in such a system is significant. Thus, in this paper, period-1 motions in the time-delayed double-well Duffing oscillator are discussed through a semi-analytical method. The semi-analytical method is based on the implicit mappings constructed by discretization of the corresponding differential equation. Complex period-1 motions are predicted and the corresponding stability and bifurcation analysis are completed. From predictions, complex periodic motions are simulated numerically, and the harmonic amplitudes and phases are presented. Through this study, the complexity of periodic motions in the time-delayed Duffing oscillator can be better understood.

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Wang, Shan, and C. Guedes Soares. "Numerical Assessment of Turbulence Effects on Water Entry of a Hemisphere." In ASME 2021 40th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/omae2021-63733.

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Abstract Water entry of a rigid hemisphere is simulated using the unsteady incompressible Reynolds-Average Navier-Stokes (RANS) equations and volume of fluid (VOF) method, which are implemented in the open-source library OpenFoam. The solver InterDyMFoam is applied and the algorithm PIMPLE which is a combination of PISO (Pressure Implicit with Splitting of Operators) and SIMPLE (Semi-Implicit Method for pressure-Linked Equations) algorithms are used in the simulations. A second-order backward difference scheme is applied for the temporal discretization. A convergence and uncertainty study is performed considering different resolutions and constant Courant number (CFL) using the procedures recommended by ITTC. The comparisons of slamming loads and motions between the CFD simulations are presented using both laminar and turbulence fluid models for the hemisphere entering the water at various speeds. Turbulence is modelled with a Reynolds averaged stress (RAS) k-ω two-equation model. The turbulence effects on the slamming loads will be assessed for the case with different entry velocities.

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Zaman, M. Hasanat. "Suppression of Ocean Waves by Uniform Forced Currents." In ASME 2008 27th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2008. http://dx.doi.org/10.1115/omae2008-57370.

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Ocean current might be a useful tool to suppress ocean waves that approach a particular region of interest. A reliable short term sheltering approach might be enough in some areas where a heavy and/or permanent protection system is impractical, considering its usage, duration of deployment and money involved. This study is carried out using a 3D finite difference numerical model. The model is presently developed for long crested waves and uniform current by the vertical integration of the continuity equation and the equations of motion. A semi-implicit finite difference technique is employed for the discretization of the governing equations in time and space. Results are shown in terms of wave height distributions, reflection and transmission coefficients for varying currents, incident wave and current angles.

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