Parallel integration of hydrodynamical approximations of the Boltzmann equation for rarefied gases on a cluster of computers
| Autor: | Lorenzo Pareschi, José Miguel Mantas Ruiz, José A. Carrillo, Julio Ortega Lopera |
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| Rok vydání: | 2004 |
| Předmět: |
Speedup
Shock (fluid dynamics) Courant–Friedrichs–Lewy condition Mathematical analysis General Engineering Solver Computer Science::Numerical Analysis Stiff equation Boltzmann equation Mathematics::Numerical Analysis Computer Science Applications Physics::Fluid Dynamics Computational Mathematics symbols.namesake Mach number symbols Relaxation (approximation) Mathematics |
| Zdroj: | Journal of Computational Methods in Sciences and Engineering. 4:33-41 |
| ISSN: | 1875-8983 1472-7978 |
| DOI: | 10.3233/jcm-2004-41-206 |
| Popis: | The relaxed Burnett system, recently introduced in as a hydrodynamical approximation of the Boltzmann equation, is numerically solved. Due to the stiffness of this system and the severe CFL condition for large Mach numbers, a fully implicit Runge-Kutta method has been used. In order to reduce computing time, we apply a parallel stiff ODE solver based on 4-stage Radau IIA IRK. The ODE solver is combined with suitable first order upwind and second order MUSCL relaxation schemes for the spatial derivatives. Speedup results and comparisons to DSMC and Navier-Stokes approximations are reported for a 1D shock profile. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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