A method for reduction of numerical diffusion in the donor cell treatment of convection

DOI10.1016/0021-9991(86)90092-6zbMath0587.76140OpenAlexW2084820859MaRDI QIDQ1072879

Michael W. Golay, Kang Y. Huh, Vincent P. Manno

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-9991(86)90092-6

zbMATH Keywords

numerical diffusiontruncation errormultidimensional problemsapproximate profile assumptionscell-wise homogenizationconvective-diffusive flowcrossflow diffusioncrossflow diffusional errordonor cell treatment of convectioneffective anisotropic diffusion coefficienterror correction techniqueexplicit numerical stability

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76M99) Error analysis and interval analysis (65G99) Diffusion and convection (76Rxx)

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Cites Work

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• Simulation of convection and diffusion processes by standard finite difference schemes and by influence schemes
• An evaluation of upwind and central difference approximations by a study of recirculating flow
• Upstream-weighted differencing schemes and their application to elliptic problems involving fluid flow
• Skew upstream differencing schemes for problems involving fluid flow
• Tensor viscosity method for convection in numerical fluid dynamics
• A method for reducing dispersion in convective difference schemes
• Heuristic stability theory for finite-difference equations

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