Name
Abstract | ||
|---|---|---|
We consider filter-based stabilization for evolution equations (in general) and for the Navier-Stokes equations (in particular). The first method we consider is to advance in time one time step by a given method and then to apply an (uncoupled and modular) filter to get the approximation at the new time level. This filter-based stabilization, although algorithmically appealing, is viewed in the literature as introducing far too much numerical dissipation to achieve a quality approximate solution. We show that this is indeed the case. We then consider a modification: Evolve one time step, filter, deconvolve, then relax to get the approximation at the new time step. We give a precise analysis of the numerical diffusion and error in this process and show it has great promise, confirmed in several numerical experiments. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1137/100782048 | SIAM JOURNAL ON NUMERICAL ANALYSIS |
Keywords | Field | DocType |
Navier-Stokes equations,filter,deconvolution,finite element | Mathematical optimization,Mathematical analysis,Dissipation,Deconvolution,Finite element method,Numerical diffusion,Modular design,Numerical analysis,Mathematics,Numerical stability,Navier–Stokes equations | Journal |
Volume | Issue | ISSN |
50 | 5 | 0036-1429 |
Citations | PageRank | References |
1 | 0.39 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Vincent J. Ervin | 1 | 118 | 15.66 |
| William J. Layton | 2 | 170 | 72.49 |
| Monika Neda | 3 | 35 | 6.29 |