New two- and three-dimensional non-oscillatory central finite volume methods on staggered Cartesian grids

DOI10.1016/S0168-9274(01)00093-9zbMath0994.65092MaRDI QIDQ5957924

A. Madrane, Amik St-Cyr, Paul Arminjon

Publication date: 13 March 2002

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

stabilitynumerical resultsstaggered gridslinear advection problemnonoscillatory central finite volume methods

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) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items

Semi-discrete central-upwind Rankine-Hugoniot schemes for hyperbolic systems of conservation laws, Alleviation of cancellation problem of preconditioned Navier-Stokes equations, Central finite volume methods for ideal and shallow water magnetohydrodynamics, Cancellation problem of preconditioning method at low Mach numbers, Nessyahu-Tadmor-type central finite volume methods without predictor for 3D Cartesian and unstructured tetrahedral grids, New low-dissipation central-upwind schemes, Non-oscillatory central schemes on unstructured grids for two-dimensional hyperbolic conservation laws, New non-oscillatory central schemes on unstructured triangulations for hyperbolic systems of conservation laws, Convergence characteristics of preconditioned Euler equations, 3D adaptive central schemes. I: Algorithms for assembling the dual mesh, Central finite volume methods with constrained transport divergence treatment for ideal MHD, New two- and three-dimensional non-oscillatory central finite volume methods on staggered Cartesian grids

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Non-oscillatory central differencing for hyperbolic conservation laws
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Towards the ultimate conservative difference scheme. III: Upstream- centered finite-difference schemes for ideal compressible flow
• Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection
• Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme
• A modified structured central scheme for 2D hyperbolic conservation laws
• Numerical approximation of hyperbolic systems of conservation laws
• 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
• The stability of explicit Euler time-integration for certain finite difference approximations of the multi-dimensional advection-diffusion equation
• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
• Multigrid Solution of Monotone Second-Order Discretizations of Hyperbolic Conservation Laws
• Monotone Difference Approximations for Scalar Conservation Laws
• Nonoscillatory Central Schemes for Multidimensional Hyperbolic Conservation Laws
• Convergence of a Finite Volume Extension of the Nessyahu--Tadmor Scheme on Unstructured Grids for a Two-Dimensional Linear Hyperbolic Equation
• The Optimal Convergence Rate of Monotone Finite Difference Methods for Hyperbolic Conservation Laws
• A Finite Volume Extension of the Lax-Friedrichs and Nessyahu-Tadmor Schemes for Conservation Laws on Unstructured Grids
• Error Estimates for the Staggered Lax--Friedrichs Scheme on Unstructured Grids
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• Weak solutions of nonlinear hyperbolic equations and their numerical computation
• Convergence of a staggered Lax-Friedrichs scheme for nonlinear conservation laws on unstructured two-dimensional grids
• New two- and three-dimensional non-oscillatory central finite volume methods on staggered Cartesian grids