A New Parallel Solver for the Nonperiodic Incompressible Navier–Stokes Equations with a Fourier Method: Application to Frontal Polymerization
| Autor: | M. Garbey, D. Tromeur-Dervout |
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| Rok vydání: | 1998 |
| Předmět: |
Numerical Analysis
Physics and Astronomy (miscellaneous) Applied Mathematics Mathematical analysis Domain decomposition methods Solver Computer Science Applications Physics::Fluid Dynamics Method of undetermined coefficients Computational Mathematics symbols.namesake Fourier transform Modeling and Simulation Stream function symbols Periodic boundary conditions Boundary value problem Navier–Stokes equations Mathematics |
| Zdroj: | Journal of Computational Physics. 145:316-331 |
| ISSN: | 0021-9991 |
| Popis: | 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 anew parallel direct solverof 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 thenonperiodiccase 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. |
| Databáze: | OpenAIRE |
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