Local preconditioning and variational multiscale stabilization for Euler compressible steady flow
This paper introduces a preconditioned variational multiscale stabilization (P-VMS) method for compressible flows. In this introductory paper we focus on inviscid flow and steady state problems. The Euler equations are solved on fully unstructured grids and discretized using the finite element metho...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/85185 |
| Acceso en línea: | https://hdl.handle.net/2117/85185 https://dx.doi.org/10.1016/j.cma.2016.02.027 |
| Access Level: | acceso abierto |
| Palabra clave: | Multiscale modeling--Computer simulation Equations--Data processing Navier-Stokes equations Local preconditioning Variational multiscale method Finite elements Euler equations Compressible flow Steady flow problems Equacions de Navier-Stokes Dinàmica de fluids Equacions diferencials parcials Àrees temàtiques de la UPC::Enginyeria mecànica |
| Sumario: | This paper introduces a preconditioned variational multiscale stabilization (P-VMS) method for compressible flows. In this introductory paper we focus on inviscid flow and steady state problems. The Euler equations are solved on fully unstructured grids and discretized using the finite element method. The P-VMS method can be decomposed in three parts. First, a local preconditioner is applied to the continuous equations to reduce the stiffness while covering a wide range of Mach numbers. Then, the resulting preconditioned system is discretized in space using finite elements and stabilized with a variational multiscale stabilization method adapted for the preconditioned equations. In this paper, the solution is advanced in time using a fully explicit time discretization, although P-VMS is general and can be applied to fully implicit solvers. The proposed method is assessed by comparing convergence and accuracy of the solutions between the non-preconditioned and preconditioned cases, in particular for van Leer-Lee-Roe’s and Choi-Merkle’s preconditioners, in some selected examples covering a large range of Mach numbers. |
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