A New Parallel Solver for the Nonperiodic Incompressible Navier–Stokes Equations with a Fourier Method: Application to Frontal Polymerization
✍ Scribed by M. Garbey; D. Tromeur-Dervout
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 270 KB
- Volume
- 145
- Category
- Article
- ISSN
- 0021-9991
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✦ Synopsis
We present a specific use of domain decomposition and decomposition in function space combined with asymptotic analytical qualitative results to obtain, on parallel computers, efficient and accurate solvers [3] for rapidly varying quasi-planar unsteady combustion fronts in liquids. In particular, we give a new parallel direct solver of the unsteady incompressible Navier-Stokes equations in the stream function formulation. This solver is based on an embedding technique that allows us to generalize our previous results from the case with periodic boundary conditions [6,7] to the nonperiodic case with wall boundary conditions in a direction perpendicular to front propagation. The solution is decomposed into a particular solution, suitable for a Fourier method, and the general homogeneous solution, calculated from an analytic solution with high precision, to satisfy the boundary conditions. The algorithm is implemented for parallel computers and results in a very effective code. Results on the effect of the convection onto the front propagation are provided.