A numerical scheme for transport equations with spatially distributed coefficients based on locally exact difference method

DOI10.1006/jcph.1997.5711zbMath0882.65067OpenAlexW2004908293MaRDI QIDQ1368651

Katsuhiro Sakai, Gen Sheng Zhang

Publication date: 5 March 1998

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1997.5711

zbMATH Keywords

numerical examplesdifference schemecavity flow problemspatially distributed coefficients locally exact numerical schemestationary transport equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (5)

Given a one-step numerical scheme, on which ordinary differential equations is it exact? ⋮ An accurate discretization for an inhomogeneous transport equation with arbitrary coefficients and source ⋮ An exact discretization for a transport equation with piecewise-constant coefficients and arbitrary source ⋮ A numerical scheme based on a solution of nonlinear advection--diffusion equations ⋮ A nonoscillatory numerical scheme based on a general solution of 2-D unsteady advection-diffusion equations

Uses Software

• SHASTA

Cites Work

• High resolution schemes for hyperbolic conservation laws
• A stable and accurate convective modelling procedure based on quadratic upstream interpolation
• FRAM-nonlinear damping algorithms for the continuity equation
• Tensor viscosity method for convection in numerical fluid dynamics
• A new finite variable difference method with application to locally exact numerical scheme
• APPLICATION OF THE LOCALLY ANALYTIC DIFFERENCING SCHEME TO SOME TEST PROBLEMS FOR THE CONVECTION-DIFFUSION EQUATION
• Effects of grid staggering on numerical schemes
• Simple high‐accuracy resolution program for convective modelling of discontinuities
• Conservative versions of the locally exact consistent upwind scheme of second order (Lecusso‐scheme)
• Efficiency of Navier-Stokes Solvers
• RELAXATION METHODS APPLIED TO DETERMINE THE MOTION, IN TWO DIMENSIONS, OF A VISCOUS FLUID PAST A FIXED CYLINDER
• Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works
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