A numerical study of the steady scalar convective diffusion equation for small viscosity
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.
time-independent convection-diffusion equation
scientific article; zbMATH DE number 3913971
scientific article