A General Approach to Enhance Slope Limiters in MUSCL Schemes on Nonuniform Rectilinear Grids

DOI10.1137/140970185zbMath1380.65198arXiv1301.0967OpenAlexW2299581699MaRDI QIDQ2797077

Zeng, Xianyi

Publication date: 4 April 2016

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.0967

zbMATH Keywords

finite volume methodslope limitersecond-order accuracyMUSCLsymmetry-preservingcapacity-form differencingnonuniform rectilinear gridTVD stability

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (4)

On the implementation of flux limiters in algebraic frameworks ⋮ A class of non-oscillatory direct-space-time schemes for hyperbolic conservation laws ⋮ On finite volume discretization of infiltration dynamics in tumor growth models ⋮ Multiscale polynomial-based high-order central high resolution schemes

Uses Software

• SHASTA

Cites Work

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• Wave propagation algorithms for multidimensional hyperbolic systems
• Flux-corrected transport techniques for multidimensional compressible magnetohydrodynamics
• Fully multidimensional flux-corrected transport algorithms for fluids
• Compact third-order limiter functions for finite volume methods
• High resolution schemes for hyperbolic conservation laws
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Towards the ultimate conservative difference scheme. III: Upstream- centered finite-difference schemes for ideal compressible flow
• Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme
• Multidimensional slope limiters for MUSCL-type finite volume schemes on unstructured grids
• Convergence to steady state solutions of the Euler equations on unstructured grids with limiters
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• Logically Rectangular Grids and Finite Volume Methods for PDEs in Circular and Spherical Domains
• A Direct Eulerian MUSCL Scheme for Gas Dynamics
• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
• Convergence of Generalized MUSCL Schemes
• A Geometric Approach to High Resolution TVD Schemes
• Upwind Second-Order Difference Schemes and Applications in Aerodynamic Flows
• Total variation diminishing Runge-Kutta schemes
• High-order Finite Difference and Finite Volume WENO Schemes and Discontinuous Galerkin Methods for CFD
• Finite Volume Methods for Hyperbolic Problems
• Systems of conservation laws
• Towards the ultimate conservative difference scheme I. The quest of monotonicity
• Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works

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