A numerical study of the steady scalar convective diffusion equation for small viscosity
type: Item
instance of: scholarly article
title: A numerical study of the steady scalar convective diffusion equation for small viscosity
zbMATH Open document ID: 0572.76087
DOI: 10.1016/0021-9991(84)90110-4
author: Mike Giles
author: Milton E. Rose
published in: Journal of Computational Physics
publication date: 1984-01-01T00:00:00Z
review text: The equation \(\nu \nabla^ 2u=f_ x(u)+g_ y(u)\) is studied by means of a compact finite difference scheme and numerical solutions are compared to the analytic inviscid \((\nu =0)\) solutions. The correct internal and external boundary layer behaviour is observed, due to an inherent feature of the scheme which automatically produces upwind differencing in inviscid regions and the correct viscous behaviours in viscous regions.
Mathematics Subject Classification ID: 76R99
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3913971
zbMATH Keywords: Gauss-Seidel iterative solution
zbMATH Keywords: time-independent convection-diffusion equation
zbMATH Keywords: analytic inviscid solution
zbMATH Keywords: compact finite difference scheme
zbMATH Keywords: upwind differencing in inviscid regions
MaRDI profile type: Publication
full work available at URL: 0021-9991(84)90110-4
OpenAlex ID: W2131710750
cites work: Q3854005
cites work: Perturbed elliptic problems with essential nonlinearities
cites work: Perturbation methods in applied mathematics
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cites work: Compact Finite Difference Schemes for Mixed Initial-Boundary Value Problems
cites work: A finite difference scheme for a class of first-order elliptic partial differential equations
cites work: Compact finite difference schemes for the Euler and Navier-Stokes equations
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description: scientific article; zbMATH DE number 3913971