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Semi-lagrangian integration schemes for viscous incompressible flows
| Content Provider | Scilit |
|---|---|
| Author | Seaïd, Mohammed |
| Copyright Year | 2002 |
| Abstract | A new second-order accurate scheme for the computation of unsteady viscous incompressible flows is proposed. The scheme is based on the vorticity-stream function formulation along the characteristics and consists of combining the modified method of characteristics with an explicit scheme with an extended real stability interval. A comparison of the new method with the semi-Lagrangian Cranck-Nicolson and classical semi-Lagrangian Runge-Kutta schemes is presented. Numerical results are carried out on Navier-Stokes equations and this efficient second-order scheme has also made it possible to compute the driven cavity ow at a high Reynolds number on a refined grid at a reasonable cost. The procedure can be generalized to more than two dimensions. |
| Related Links | http://www.degruyter.com/downloadpdf/j/cmam.2002.2.issue-4/cmam-2002-0022/cmam-2002-0022.xml |
| Ending Page | 409 |
| Page Count | 18 |
| Starting Page | 392 |
| ISSN | 16094840 |
| e-ISSN | 16099389 |
| DOI | 10.2478/cmam-2002-0022 |
| Journal | Computational Methods in Applied Mathematics |
| Issue Number | 4 |
| Volume Number | 2 |
| Language | English |
| Publisher | Walter de Gruyter GmbH |
| Publisher Date | 2002-01-01 |
| Access Restriction | Open |
| Subject Keyword | Computational Methods in Applied Mathematics Applied Mathematics Mathematical Physics Function Scheme Semi Incompressible Flows Lagrangian Second Order Viscous Incompressible Journal: Computational Methods in Applied Mathematics, Vol- 2, Issue- 1 |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Numerical Analysis Computational Mathematics |