NUMERICAL RESULTS FOR ADVECTION-DOMINATED HEAT-TRANSFER IN A MOVING FLUID WITH A NON-SLIP BOUNDARY-CONDITION

This paper is concerned with the laminar transfer of heat by forced co nvection where the velocity profile is taken to be parabolic. In the a dvection dominated case the problem is described mathematically by a s ingularly perturbed boundary value problem with a non-slip condition. It has been established both theoretically and computationally that nu merical methods composed of upwind finite difference operators on spec ial piecewise uniform meshes have the property that they behave unifor mly well, regardless of the magnitude of the ratio of the advection te rm to the diffusion term. A variety of choices of special piecewise un iform mesh is examined and it is shown computationally that these lead to numerical methods also sharing this property. These results valida te a previous theoretical result which is quoted.