Name
Title | ||
|---|---|---|
A new defect correction method for the Navier–Stokes equations at high Reynolds numbers |
Abstract | ||
|---|---|---|
In this paper, a new defect correction method for the Navier–Stokes equations is presented. With solving an artificial viscosity stabilized nonlinear problem in the defect step, and correcting the residual by linearized equations in the correction step for a few steps, this combination is particularly efficient for the Navier–Stokes equations at high Reynolds numbers. In both the defect and correction steps, we use the Oseen iterative scheme to solve the discrete nonlinear equations. Furthermore, the stability and convergence of this new method are deduced, which are better than that of the classical ones. Finally, some numerical experiments are performed to verify the theoretical predictions and show the efficiency of the new combination. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.amc.2010.04.050 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Navier–Stokes equations,Defect correction method,High Reynolds numbers,Error estimates | Reynolds-averaged Navier–Stokes equations,Mathematical optimization,Nonlinear system,Reynolds number,Hagen–Poiseuille flow from the Navier–Stokes equations,Mathematical analysis,Non-dimensionalization and scaling of the Navier–Stokes equations,Numerical analysis,Numerical stability,Mathematics,Navier–Stokes equations | Journal |
Volume | Issue | ISSN |
216 | 11 | 0096-3003 |
Citations | PageRank | References |
6 | 0.64 | 3 |
Authors | ||
1 | ||