Name
Abstract | ||
|---|---|---|
The purpose of this article is to introduce a projection hybrid finite volume/element method for low-Mach number flows of viscous or inviscid fluids. Starting with a 3D tetrahedral finite element mesh of the computational domain, the equation of the transport-diffusion stage is discretized by a finite volume method associated with a dual mesh where the nodes of the volumes are the barycenters of the faces of the initial tetrahedra. The transport-diffusion stage is explicit. Upwinding of convective terms is done by classical Riemann solvers as the Q-scheme of van Leer or the Rusanov scheme. Concerning the projection stage, the pressure correction is computed by a piecewise linear finite element method associated with the initial tetrahedral mesh. Passing the information from one stage to the other is carefully made in order to get a stable global scheme. Numerical results for several test examples aiming at evaluating the convergence properties of the method are shown. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.jcp.2013.09.029 | Journal of Computational Physics |
Keywords | Field | DocType |
Low-Mach number flows,Projection method,Finite volume method,Finite element method | Boundary knot method,Mathematical optimization,Mathematical analysis,Extended finite element method,Finite element method,Finite volume method,hp-FEM,Mathematics,Mesh generation,Pressure-correction method,Mixed finite element method | Journal |
Volume | Issue | ISSN |
271 | C | 0021-9991 |
Citations | PageRank | References |
7 | 0.56 | 2 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| A. Bermúdez | 1 | 7 | 0.56 |
| J. L. Ferrín | 2 | 10 | 1.27 |
| Laura Saavedra | 3 | 23 | 3.14 |
| M. E. Vázquez-Cendón | 4 | 7 | 0.56 |