Higher order monotonic convective difference schemes

DOI10.1016/0021-9991(77)90084-5zbMath0362.76001OpenAlexW2009456373MaRDI QIDQ1240092

C. K. Forester

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0021-9991(77)90084-5

Mathematics Subject Classification ID

Diffusion and convection (76R99) Software, source code, etc. for problems pertaining to fluid mechanics (76-04)

Related Items (14)

An investigation into the numerical dispersion problem of the skew upwind finite difference scheme ⋮ Optimized weighted essentially nonoscillatory third-order schemes for hyperbolic conservation laws ⋮ Using a combination of two models in tracer simulations ⋮ A stable and accurate convective modelling procedure based on quadratic upstream interpolation ⋮ FRAM-nonlinear damping algorithms for the continuity equation ⋮ A higher order numerical scheme for scalar transport ⋮ Numerical calculations of steady three-dimensional turbulent jets in cross flow ⋮ Numerical solution of the atmospheric diffusion equation for chemically reacting flows ⋮ A higher-order compact ADI method with monotone iterative procedure for systems of reaction-diffusion equations ⋮ A non-oscillating solution technique for skew upwind and QUICK-family schemes ⋮ Development of a high-resolution nested air pollution model. The numerical approach ⋮ A high-order finite difference method for 1D nonhomogeneous heat equations ⋮ COMPACT FINITE DIFFERENCES METHOD AND CAPUTO FRACTIONAL DERIVATIVE DEFINITION FOR LINEAR FRACTIONAL SCHRÖDINGER EQUATIONS ⋮ Fully multidimensional flux-corrected transport algorithms for fluids

Cites Work

• Local errors o f difference approximations to hyperbolic equations
• Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique
• Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme
• Numerical convective schemes based on accurate computation of space derivatives
• Numerical simulation of incompressible flows within simple boundaries: accuracy
• Stability of Richtmyer Type Difference Schemes in any Finite Number of Space Variables and Their Comparison with Multistep Strang Schemes
• Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works

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