Accession Number:

ADA314204

Title:

Multi-Dimensional Asymptotically Stable Finite Difference Schemes for the Advection-Diffusion Equation.

Descriptive Note:

Contract rept.,

Corporate Author:

INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA

Personal Author(s):

Report Date:

1996-07-01

Pagination or Media Count:

37.0

Abstract:

An algorithm is presented which solves the multi-dimensional advection-diffusion equation on complex shapes to 2nd-order accuracy and is asymptotically stable in time. This bounded-error result is achieved by constructing, on a rectangular grid, a differentiation matrix whose symmetric part is negative definite. The differentiation matrix accounts for the Dirichlet boundary condition by imposing penalty like terms. Numerical examples in 2-D show that the method is effective even where standard schemes, stable by traditional definitions, fall. It gives accurate, non-oscillatory results even when boundary layers are not resolved.

Subject Categories:

  • Operations Research
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE