Accession Number:

ADA334848

Title:

Parallel Multi-Scale Algorithms and Applications to Turbulence

Descriptive Note:

Final technical rept. 1 Jun 94-31 May 97

Corporate Author:

BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS

Personal Author(s):

Report Date:

1997-10-09

Pagination or Media Count:

7.0

Abstract:

This report describes development of a new hierarchical spectral basis appropriate for hp-finite element formulations on unstructured grids consisting of triangular and tetrahedral subdomains. The new multi-resolution basis has the following properties 1 Jacobi polynomials of mixed weights, 2 Semi-orthogonality, leading to great sparsity, 3 Hierarchical structure, 4 Generalized tensor products, 5 Mixed order expansions, which provides great flexibility in adaptive discretizations, and 6 Gauss-Jacobi quadratures that minimize errors in complicated geometries. The accuracy of this method has been tested in two and three dimensions. Importantly, numerical results verified that the new hierarchical basis exhibits convergence even for highly distorted meshes.

Subject Categories:

  • Fluid Mechanics
  • Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE