Accession Number : ADA185499

Title :   Methods for Reducing Computational Costs of Typical Finite Element Unsteady Hydrodynamic Models.

Descriptive Note : Final rept. Feb 86-Sep 87,

Corporate Author : ARMY ENGINEER WATERWAYS EXPERIMENT STATION VICKSBURG MS HYDRAULICS LAB

Personal Author(s) : Baker, A J ; Manhardt, P D ; Johnson, B H

PDF Url : ADA185499

Report Date : Sep 1987

Pagination or Media Count : 67

Abstract : Ideas suggested to reduce computational costs of typical finite element hydrodynamic codes are presented for Implementation. Short-term suggestions include employing iterative solution solvers with perhaps a multigrid algorithm, uncoupling the governing equations and using linear interpolation for velocity to reduce the 'size' of the coefficient matrix, and using explicit time integration with a condensed coefficient matrix. A top-down algorithm/code design from theory through to parallel processing is presented as a long-term solution. A tensor-product solution on at least a semi-regular block structured grid is proposed. With the finite element algorithm derived from the Taylor weak statement, stabilizing mechanisms are embedded such that selective dampening of the spurious short wavelength error modes is realized without a degradation of solution accuracy. Three-dimensional finite element hydrodynamic models based upon these concepts will result in cost-effective solutions that possess good stability properties yet yield accurate solutions in high gradient regions.

Descriptors :   *FINITE ELEMENT ANALYSIS, *HYDRODYNAMIC CODES, ACCURACY, ALGORITHMS, CODING, COMPUTATIONS, COST EFFECTIVENESS, COSTS, EQUATIONS, GRADIENTS, INTEGRATION, INTERPOLATION, ITERATIONS, LINEARITY, LONG RANGE(TIME), PARALLEL PROCESSING, SOLUTIONS(GENERAL), STABILITY, STABILIZATION, TIME, UNSTEADY FLOW, MATRICES(MATHEMATICS), COEFFICIENTS, TENSORS, THREE DIMENSIONAL

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE