Name
Title | ||
|---|---|---|
On Pressure Approximation via Projection Methods for Nonstationary Incompressible Navier-Stokes Equations |
Abstract | ||
|---|---|---|
Projection methods are an efficient tool to approximate strong solutions of the incompressible Navier-Stokes equations. As a major deficiency, these methods often suffer from reduced accuracy for pressure iterates caused by nonphysical boundary data, going along with suboptimal error estimates for pressure iterates. We verify a rigorous bound for arising boundary layers in Chorin's scheme under realistic regularity assumptions. In a second step, the new Chorin-Penalty method is proposed, where optimal rate of convergence for pressure iterates is shown. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1137/07069609X | SIAM J. Numerical Analysis |
Keywords | Field | DocType |
incompressible uid,major deficiency,approximate strong solution,projection methods,incompressible navier-stokes equation,navier-stokes equations,optimal rate,new chorin-penalty method,quasi-compressibility method,projection method.,pressure approximation,efficient tool,nonstationary incompressible navier-stokes equations,nonphysical boundary data,projection method,pressure iterates,boundary layer,incompressible fluid,penalty method | Compressibility,Mathematical optimization,Mathematical analysis,Projection method,Boundary layer,Rate of convergence,Numerical analysis,Iterated function,Mathematics,Navier–Stokes equations,Penalty method | Journal |
Volume | Issue | ISSN |
47 | 1 | 0036-1429 |
Citations | PageRank | References |
11 | 0.92 | 4 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Andreas Prohl | 1 | 302 | 67.29 |