Accession Number : ADA255121

Title :   Adaptive Mesh Strategies for the Spectral Element Method.

Descriptive Note : Contractor rept.,

Corporate Author : INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA

Personal Author(s) : Mavriplis, Catherine

Report Date : JUL 1992

Pagination or Media Count : 20

Abstract : An adaptive spectral element method has been developed for the efficient solution of time dependent partial differential equations. Adaptive mesh strategies that include resolution refinement and coarsening by three different methods are illustrated on solutions to the one-dimensional viscous Burgers equation and the two-dimensional Navier-Stokes equations for driven flow in a cavity. Sharp gradients, singularities and regions of poor resolution are resolved optimally as they develop in time using error estimators which indicate the choice of refinement to be used. The adaptive formulation presents significant increases in efficiency, flexibility and general capabilities for high order spectral methods.

Descriptors :   *PARTIAL DIFFERENTIAL EQUATIONS, *TIME DEPENDENCE, *MESH, CAVITIES, CONTRACTORS, DIFFERENTIAL EQUATIONS, EFFICIENCY, EQUATIONS, ERRORS, FLOW, FORMULATIONS, GRADIENTS, MESH, NAVIER STOKES EQUATIONS, ONE DIMENSIONAL, PARTIAL DIFFERENTIAL EQUATIONS, REGIONS, RESOLUTION, SELECTION, STRATEGY, TIME, TWO DIMENSIONAL.

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE