Journal ArticleDOI
Implicit fast sweeping method for hyperbolic systems of conservation laws
Eduardo Lozano,Tariq D. Aslam +1 more
Reads0
Chats0
TLDR
An efficient numerical framework based on the Fast Sweeping Method (FSM) for solving linear and nonlinear hyperbolic systems of conservation laws and indicates that the implicit FSM can allow a major reduction in the number of time steps even in the presence of discontinuous solution profiles.About:
This article is published in Journal of Computational Physics.The article was published on 2021-04-01. It has received 6 citations till now. The article focuses on the topics: Linearization & Euler equations.read more
Citations
More filters
Journal ArticleDOI
High resolution compact implicit numerical scheme for conservation laws
Peter Frolkovič,Michal Zeravý +1 more
TL;DR: In this article , a novel implicit scheme for the numerical solution of time-dependent conservation laws is presented, which exploits and approximates the mixed spatial-temporal derivative of the solution that occurs naturally when deriving some second order accurate schemes in time.
Journal ArticleDOI
Semi-implicit methods for advection equations with explicit forms of numerical solution
TL;DR: In this paper , a parametric family of semi-implicit second order accurate numerical methods for non-conservative and conservative advection equation for which the numerical solutions can be obtained in a fixed number of forward and backward alternating substitutions.
Journal ArticleDOI
High resolution compact implicit numerical scheme for conservation laws
Peter Frolkovivc,Michal vZerav'y +1 more
TL;DR: In this paper , a novel implicit scheme for the numerical solution of time-dependent conservation laws is presented, which exploits and approximates the mixed spatial-temporal derivative of the solution that occurs naturally when deriving some second order accurate schemes in time.
Posted Content
Semi-implicit methods for advection equations with explicit forms of numerical solution.
TL;DR: In this article, a parametric family of semi-implicit second order accurate numerical methods for non-conservative and conservative advection equation for which the numerical solutions can be obtained in a fixed number of forward and backward alternating substitutions.
Journal ArticleDOI
Semi-implicit high resolution numerical scheme for conservation laws
TL;DR: In this article , a semi-implicit scheme for numerical solutions of time-dependent conservation laws is presented, which exploits and approximates mixed partial derivatives of the solution that occur naturally when deriving higher-order accurate schemes.
References
More filters
Journal ArticleDOI
Tensor Decompositions and Applications
Tamara G. Kolda,Brett W. Bader +1 more
TL;DR: This survey provides an overview of higher-order tensor decompositions, their applications, and available software.
Journal ArticleDOI
Efficient implementation of essentially non-oscillatory shock-capturing schemes,II
Chi-Wang Shu,Stanley Osher +1 more
TL;DR: Two methods of sharpening contact discontinuities-the subcell resolution idea of Harten and the artificial compression idea of Yang, which those authors originally used in the cell average framework-are applied to the current ENO schemes using numerical fluxes and TVD Runge-Kutta time discretizations.
Book
Numerical methods for conservation laws
TL;DR: In this paper, the authors describe the derivation of conservation laws and apply them to linear systems, including the linear advection equation, the Euler equation, and the Riemann problem.
Journal ArticleDOI
Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
ShuChi-Wang,OsherStanley +1 more
TL;DR: This work extends earlier work on the efficient implementation of ENO (essentially non-oscillatory) shock-capturing schemes by providing a new simplified expression for the ENO constructio...
Book
Computational Fluid Mechanics and Heat Transfer
TL;DR: In this paper, a reference record was created on 2005-11-18, modified on 2016-08-08 and used for CFD-based transfert de chaleur.
Related Papers (5)
Automatic Differentiation using Operator Overloading (ADOO) for implicit resolution of hyperbolic single phase and two-phase flow models
François Fraysse,Richard Saurel +1 more
Locally Implicit Time Integration Strategies in a Discontinuous Galerkin Method for Maxwell's Equations
Enabling local time stepping in the parallel implicit solution of reaction-diffusion equations via space-time finite elements on shallow tree meshes
D. Krause,Rolf Krause +1 more