Local block relaxation method for the solution of equations of gasdynamics
| Autor: | Vittorio Puoti, Carlo de Nicola, Renato Tognaccini |
|---|---|
| Přispěvatelé: | DE NICOLA, C., Tognaccini, Renato, Puoti, V. |
| Rok vydání: | 2000 |
| Předmět: | |
| Zdroj: | Scopus-Elsevier |
| ISSN: | 1533-385X 0001-1452 |
| DOI: | 10.2514/3.14559 |
| Popis: | A new explicit pseudo-time-integration algorithm, termed local block relaxation, for the solution of the equations of gasdynamics in block-structured domains is proposed. The aim of the method is to reduce the computational costs in obtaining the numerical solution of complex flowfields. Attention is given to the definition of proper interface boundary conditions that ensure stability even if the smoothing of the solution is not synchronized in time among the blocks. Once stability is guaranteed, oversmoothings can be performed in a restricted number of blocks, namely, those that exhibit a slower rate of convergence. The method proposed is closely coupled with a standard multigrid cycle. A theoretical analysis of the savings in computational work is presented so that the convergence speed up can be estimated a priori. The strategy is shown to be effective in both two-dimensional and three-dimensional Navier-Stokes simulations. The present algorithm can be extended to a broad variety of numerical schemes based on explicit time integrations |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|