Name
Abstract | ||
|---|---|---|
This paper is concerned with adaptive least-squares methods for Stokes equations based on velocity-pressure-stress and velocity-vorticity-pressure formulations. To capture the Stokes flow region, an adaptive algorithm based on mesh redistribution is developed for a nonlinear weighted least-squares functional. A redistribution approach is considered to generate the optimal grids. Model problems considered are the flow past a planar channel and a 4-to-1 contraction problems. Numerical results of model problems illustrating the efficiency of the proposed scheme are presented. Adaptive least-squares methods are used to solve the Stokes equations.Velocity-pressure-stress and velocity-vorticity-pressure formulations are used.Mesh redistribution for planar and 4-to-1 contraction flow problems are developed.Lower-order basis functions in all variables are used in least-squares methods.Hybrid meshes of regular and graded grids are used to reduce the grid effects. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1016/j.cam.2014.11.041 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
stokes equation | Least squares,Mathematical optimization,Nonlinear system,Polygon mesh,Mathematical analysis,Planar,Basis function,Adaptive algorithm,Mathematics,Stokes flow,Grid | Journal |
Volume | Issue | ISSN |
280 | C | 0377-0427 |
Citations | PageRank | References |
0 | 0.34 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hsueh-Chen Lee | 1 | 17 | 3.54 |
| Tsu-Fen Chen | 2 | 9 | 2.36 |