NUMERICAL SIMULATION OF COMPRESSIBLE FLOWS BY USING HIGHER-ORDER FINITE VOLUME SCHEMES BASED ON THE MOVING LEAST SQUARES METHOD

被引：0
|
作者：
Nogueira, X. [1 ]
Cueto-Felgueroso, L. [1 ,2 ]
Colominas, I. [1 ]
机构：
[1] Univ A Coruna, GMNI, Dept Metodos Matemat & Representac, ETSI Caminos Canales & Puertos, La Coruna 15071, Spain
[2] MIT, Dept Civil & Environm Engn, Cambridge, MA 02139 USA
来源：
REVISTA INTERNACIONAL DE METODOS NUMERICOS PARA CALCULO Y DISENO EN INGENIERIA | 2010年 / 26卷 / 02期
关键词：
NAVIER-STOKES EQUATIONS; UNSTRUCTURED GRIDS; EULER EQUATIONS; DIFFERENCE-SCHEMES; CONSERVATION-LAWS; GALERKIN METHOD; SOLVERS; CONVERGENCE; MESHES; SOUND;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this work we show a numerical methodology for the resolution of compressible flows in both, structured and unstructured grids. The Moving Least Squares method (MLS) is used for the computation of the gradients and successive derivatives in a higher-order finite volume framework. Using the multiresolution properties of the MLS methodology, we define a shock-detection methodology. This new methodology allows the extension of slope limiters to finite volume methods with order higher than two. We present some numerical examples that show the accuracy and robustness of the numerical method.
引用
收藏
页码：83 / 107
页数：25
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