Comparison of cell centered and vertex centered formulation of finite volume method

Title:

Comparison of cell centered and vertex centered formulation of finite volume method

Creator:

Dobeš, Jiří, Deconinck, Herman, and Fořt, Herman

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:7e5f3c2c-ee62-4bfb-ad85-3897bd4e577f
uuid:7e5f3c2c-ee62-4bfb-ad85-3897bd4e577f

Subject:

finite volume method, transonic flow, linear reconstruction, limiter, parallel method, and implicit method

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Finite volume methods for solving hyperbolic systems on unstructured meshes are known for a long time. There are two basic formulations of the method: cell centered and vertex centered. For the cell centered method, the (finite) volumes used to satisfy the integral form of the equation are the mesh elements itself. For the vertex centered approach, the finite volumes are elements of the mesh dual to the computational mesh. We present comparison of both formulations. The method is first evaluated on a scalar advection equation. Knowing the analytical solution of the problem, convergence studies are performed. More complex test cases involve the 3D transonic flow past an Олега M6 airfoil. Discussion includes influence of the reconstruction and limiters on the solution. The results of the parallel implementation for a Linux PC cluster both with explicit and implicit time integration method are presented. and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/licenses/by-nc-sa/4.0/
policy:public

Coverage:

191-200

Source:

Engineering mechanics: international journal for theoretical and applied mechanics | 2006 Volume:13 | Number:3

Harvested from:

CDK

Metadata only:

false