Finite difference methods for convectivediffusive equations
Abstract
Methods for the integration of the heat equation describing temperature evolution in a homogeneous one dimensional solid body are extended to the resolution of general convectivediffusive equations. For twodimensional problems, alternating direction implicit methods are introduced. Locally one dimensional methods are described. When the cell Reynolds number in advectivediffusive equations is 2, the modeled equation differs from the original. Second order centered differencing with no artificial diffusion gives a physically meaningless solution spoiled by oscillations. Upwind differencing can be applied, giving another equation to solve. Solutions to this dilemma are discussed.
 Publication:

In Von Karman Inst. for Fluid Dynamics Introduction to Computational Fluid Dyn. 36 p (SEE N8415429 0634
 Pub Date:
 1983
 Bibcode:
 1983icfd.vkif.....A
 Keywords:

 Computational Fluid Dynamics;
 Convective Flow;
 Finite Difference Theory;
 Parabolic Differential Equations;
 Alternating Direction Implicit Methods;
 Boundary Value Problems;
 Difference Equations;
 Reynolds Number;
 Fluid Mechanics and Heat Transfer