In this paper some iterative solution methods of the GMRES type for the discretized Navier-Stokes equations are treated. The discretization combined with a pressure correction scheme leads to two different types of systems of linear equations: the momentum system and the pressure system. These syste
Vectorized poisson solvers for the Navier–Stokes equations
✍ Scribed by S. W. Armfield
- Publisher
- John Wiley and Sons
- Year
- 1993
- Tongue
- English
- Weight
- 854 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0271-2091
No coin nor oath required. For personal study only.
✦ Synopsis
The advent of vector and massively parallel computers offers researchers the possibility of enormous gains in execution time for scientific and engineering programs. From the numerical point of view, such programs are frequently based on the inversion of sparse, diagonally banded matrices. Conventional scalar solvers often perform poorly on vector machines due to short effective vector lengths, and thus appropriate methods must be chosen for use with vector machines. In this paper a number of commonly used solvers are tested for the Navier-Stokes equations, in both scalar and vector form, on two vector architecture machines. A new method is presented which performs well in both vector and scalar form on a range of vector architectures.
📜 SIMILAR VOLUMES
to be 5.0 and the gas to be ideal and monatomic. A normal shock wave forms ahead of the piston, the gas temperature Before a hybrid scheme can be developed combining the direct simulation Monte Carlo (DSMC) method and a Navier-Stokes (NS) (dashed curve) rises behind the shock and then falls as a rep
## Communicated by S. Chen The main purpose of this paper is concerned with blow-up smooth solutions to Navier-Stokes-Poisson (N-S-P) equations. First, we present a sufficient condition on the blow up of smooth solutions to the N-S-P system. Then we construct a family of analytical solutions that