Name
Title | ||
|---|---|---|
Multi-level spectral galerkin method for the navier-stokes problem I : spatial discretization |
Abstract | ||
|---|---|---|
A multi-level spectral Galerkin method for the two-dimensional non-stationary Navier-Stokes equations is presented. The method proposed here is a multiscale method in which the fully nonlinear Navier-Stokes equations are solved only on a low-dimensional space ** subsequent approximations are generated on a succession of higher-dimensional spaces ** j=2, . . . ,J, by solving a linearized Navier-Stokes problem around the solution on the previous level. Error estimates depending on the kinematic viscosity 0νJ-level spectral Galerkin method. The optimal accuracy is achieved when ** We demonstrate theoretically that the J-level spectral Galerkin method is much more efficient than the standard one-level spectral Galerkin method on the highest-dimensional space **. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1007/s00211-005-0632-3 | Numerische Mathematik |
Keywords | Field | DocType |
nonlinear navier-stokes equation,multi-level spectral galerkin method,standard one-level spectral galerkin,j-level spectral galerkin method,multiscale method,highest-dimensional space,kinematic viscosity,higher-dimensional space,navier-stokes problem,spatial discretization,linearized navier-stokes problem,low-dimensional space,galerkin method | Discontinuous Galerkin method,Discretization,Mathematical optimization,Nonlinear system,Mathematical analysis,Galerkin method,Viscosity,Spectral method,Numerical analysis,Mathematics,Spectral element method | Journal |
Volume | Issue | ISSN |
101 | 3 | 0945-3245 |
Citations | PageRank | References |
10 | 1.10 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yinnian He | 1 | 454 | 60.20 |
| Kam-Moon Liu | 2 | 17 | 1.82 |
| Weiwei Sun | 3 | 154 | 15.12 |