An Alternative HSS Preconditioner for the Unsteady Incompressible Navier-Stokes Equations in Rotation Form
We study the preconditioned iterative method for the unsteady Navier-Stokes equations. The rotation form of the Oseen system is considered. We apply an efficient preconditioner which is derived from the Hermitian/Skew-Hermitian preconditioner to the Krylov subspace-iterative method. Numerical experi...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/307939 |
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| author | Jia Liu |
| author_facet | Jia Liu |
| author_sort | Jia Liu |
| collection | DOAJ |
| description | We study the preconditioned iterative method for the unsteady Navier-Stokes equations. The rotation form of the Oseen system is considered. We apply an efficient preconditioner
which is derived from the Hermitian/Skew-Hermitian preconditioner to the Krylov subspace-iterative method. Numerical experiments show the robustness of the preconditioned iterative methods with respect to the mesh size, Reynolds numbers, time step, and algorithm parameters. The
preconditioner is efficient and easy to apply for the unsteady Oseen problems in rotation form. |
| format | Article |
| id | doaj-art-7badd6f66a4d428e9e82a56d902f28b7 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-7badd6f66a4d428e9e82a56d902f28b72025-02-03T06:00:46ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/307939307939An Alternative HSS Preconditioner for the Unsteady Incompressible Navier-Stokes Equations in Rotation FormJia Liu0Department of Mathematics and Statistics, University of West Florida, Pensacola, FL 32514, USAWe study the preconditioned iterative method for the unsteady Navier-Stokes equations. The rotation form of the Oseen system is considered. We apply an efficient preconditioner which is derived from the Hermitian/Skew-Hermitian preconditioner to the Krylov subspace-iterative method. Numerical experiments show the robustness of the preconditioned iterative methods with respect to the mesh size, Reynolds numbers, time step, and algorithm parameters. The preconditioner is efficient and easy to apply for the unsteady Oseen problems in rotation form.http://dx.doi.org/10.1155/2012/307939 |
| spellingShingle | Jia Liu An Alternative HSS Preconditioner for the Unsteady Incompressible Navier-Stokes Equations in Rotation Form Journal of Applied Mathematics |
| title | An Alternative HSS Preconditioner for the Unsteady Incompressible Navier-Stokes Equations in Rotation Form |
| title_full | An Alternative HSS Preconditioner for the Unsteady Incompressible Navier-Stokes Equations in Rotation Form |
| title_fullStr | An Alternative HSS Preconditioner for the Unsteady Incompressible Navier-Stokes Equations in Rotation Form |
| title_full_unstemmed | An Alternative HSS Preconditioner for the Unsteady Incompressible Navier-Stokes Equations in Rotation Form |
| title_short | An Alternative HSS Preconditioner for the Unsteady Incompressible Navier-Stokes Equations in Rotation Form |
| title_sort | alternative hss preconditioner for the unsteady incompressible navier stokes equations in rotation form |
| url | http://dx.doi.org/10.1155/2012/307939 |
| work_keys_str_mv | AT jialiu analternativehsspreconditionerfortheunsteadyincompressiblenavierstokesequationsinrotationform AT jialiu alternativehsspreconditionerfortheunsteadyincompressiblenavierstokesequationsinrotationform |