Analysis and Application of an efficient line solver based upon the Symmetrical Coupled Gauss-Seidel Scheme
This paper describes an efficient line solver for the coupled equations. The calculation procedure, called SCGS/LS (Symmetrical Coupled Gauss-Seidel/Line Solver), is based on the SCGS scheme. The technique is applied to the driven cavity problem for the incompressible Navier-Stokes equations. A Four...
| Main Authors: | , , |
|---|---|
| Format: | Report |
| Published: |
Unspecified
1988
|
| _version_ | 1797065956977016832 |
|---|---|
| author | Rollett, J Mayers, D Shah, T |
| author_facet | Rollett, J Mayers, D Shah, T |
| author_sort | Rollett, J |
| collection | OXFORD |
| description | This paper describes an efficient line solver for the coupled equations. The calculation procedure, called SCGS/LS (Symmetrical Coupled Gauss-Seidel/Line Solver), is based on the SCGS scheme. The technique is applied to the driven cavity problem for the incompressible Navier-Stokes equations. A Fourier analysis of this technique is carried out. The scheme is simple and easy to programme. The rates of convergence and the computational times are reported for the test case. |
| first_indexed | 2024-03-06T21:35:39Z |
| format | Report |
| id | oxford-uuid:46295140-5233-4595-8897-de9c9f9dcd59 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T21:35:39Z |
| publishDate | 1988 |
| publisher | Unspecified |
| record_format | dspace |
| spelling | oxford-uuid:46295140-5233-4595-8897-de9c9f9dcd592022-03-26T15:12:03ZAnalysis and Application of an efficient line solver based upon the Symmetrical Coupled Gauss-Seidel SchemeReporthttp://purl.org/coar/resource_type/c_93fcuuid:46295140-5233-4595-8897-de9c9f9dcd59Mathematical Institute - ePrintsUnspecified1988Rollett, JMayers, DShah, TThis paper describes an efficient line solver for the coupled equations. The calculation procedure, called SCGS/LS (Symmetrical Coupled Gauss-Seidel/Line Solver), is based on the SCGS scheme. The technique is applied to the driven cavity problem for the incompressible Navier-Stokes equations. A Fourier analysis of this technique is carried out. The scheme is simple and easy to programme. The rates of convergence and the computational times are reported for the test case. |
| spellingShingle | Rollett, J Mayers, D Shah, T Analysis and Application of an efficient line solver based upon the Symmetrical Coupled Gauss-Seidel Scheme |
| title | Analysis and Application of an efficient line solver based upon the Symmetrical Coupled Gauss-Seidel Scheme |
| title_full | Analysis and Application of an efficient line solver based upon the Symmetrical Coupled Gauss-Seidel Scheme |
| title_fullStr | Analysis and Application of an efficient line solver based upon the Symmetrical Coupled Gauss-Seidel Scheme |
| title_full_unstemmed | Analysis and Application of an efficient line solver based upon the Symmetrical Coupled Gauss-Seidel Scheme |
| title_short | Analysis and Application of an efficient line solver based upon the Symmetrical Coupled Gauss-Seidel Scheme |
| title_sort | analysis and application of an efficient line solver based upon the symmetrical coupled gauss seidel scheme |
| work_keys_str_mv | AT rollettj analysisandapplicationofanefficientlinesolverbaseduponthesymmetricalcoupledgaussseidelscheme AT mayersd analysisandapplicationofanefficientlinesolverbaseduponthesymmetricalcoupledgaussseidelscheme AT shaht analysisandapplicationofanefficientlinesolverbaseduponthesymmetricalcoupledgaussseidelscheme |