Domain Decomposition Methods in Computational Fluid Dynamics
Abstract
The divide-and-conquer paradigm of iterative domain decomposition, or substructuring, has become a practical tool in computational fluid dynamics applications because of its flexibility in accommodating adaptive refinement through locally uniform (or quasi-uniform) grids, its ability to exploit multiple discretizations of the operator equations, and the modular pathway it provides towards parallelism. We illustrate these features on the classic model problem of flow over a backstep using Newton's method as the nonlinear iteration. Multiple discretizations (second-order in the operator and first- order in the preconditioner) and locally uniform mesh refinement pay dividends separately, and they can be combined synergistically. We include sample performance results from an Intel iPSC/860 hypercube implementation.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1991
- Accession Number
- ADA233453
Entities
People
- David E. Keyes
- William D. Gropp