FRAM-nonlinear damping algorithms for the continuity equation

DOI10.1016/0021-9991(81)90039-5zbMath0471.76024OpenAlexW2002100420MaRDI QIDQ1158031

Milt Chapman

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-9991(81)90039-5

zbMATH Keywords

convective termscontinuity equationmultidimensionalEulerian formfiltering methodologynonlinear damping algorithmsstrong local nonlinear dissipation

Mathematics Subject Classification ID

Applications to the sciences (65Z05) Incompressible inviscid fluids (76B99) Diffusion and convection (76R99)

Related Items (17)

A convective flux limiter for non-Lagrangian computational fluid dynamics ⋮ A local oscillation-damping algorithm for higher-order convection schemes ⋮ An investigation into the numerical dispersion problem of the skew upwind finite difference scheme ⋮ Interpolating matrix method: A finite difference method for arbitrary arrangement of mesh points ⋮ Development of a high-resolution scheme for a multi-dimensional advection-diffusion equation ⋮ A numerical scheme for transport equations with spatially distributed coefficients based on locally exact difference method ⋮ A locally modified second order upwind scheme for convection terms discretization ⋮ Min-max truncation: An accurate and stable filtering method for difference calculation of convection ⋮ On an adaptive monotonic convection-diffusion flux discretization scheme ⋮ A non-oscillating solution technique for skew upwind and QUICK-family schemes ⋮ A new finite variable difference method with application to nonlinear Burgers' equation ⋮ A high-resolution pressure-based algorithm for fluid flow at all speeds ⋮ A numerical scheme based on a solution of nonlinear advection--diffusion equations ⋮ A mathematical study for a Rotenberg model ⋮ A nonoscillatory numerical scheme based on a general solution of 2-D unsteady advection-diffusion equations ⋮ A new approach for building bounded skew-upwind schemes ⋮ Multi‐dimensional monotone flux discretization scheme for convection dominated flows

Cites Work

• Fully multidimensional flux-corrected transport algorithms for fluids
• Flux-corrected transport. II: Generalizations of the method
• Flux-corrected transport. III: Minimal-error FCT algorithms
• Higher order monotonic convective difference schemes
• Second-order numerical advection
• Heuristic stability theory for finite-difference equations
• Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works

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