PSEUDOSPECTRAL APPROXIMATION COMPARED WITH CONTROL VOLUME FORMULATION AND FINITE DIFFERENCES - SOME TEST CASES
The paper presents comparison of the pseudospectral method with low-order approximation for two test cases. The first test case is quasi one-dimensional supersonic flow through convergingdiverging nozzle for which exact solution exists. Comparison of the error of pseudospectral approximation and up...
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| Format: | Article |
| Language: | English |
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Gdańsk University of Technology
2000-04-01
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| Series: | TASK Quarterly |
| Subjects: | |
| Online Access: | https://journal.mostwiedzy.pl/TASKQuarterly/article/view/2435 |
| _version_ | 1811307648856883200 |
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| author | ARTUR TYLISZCZAK ANDRZEJ BOGUSŁAWSKI |
| author_facet | ARTUR TYLISZCZAK ANDRZEJ BOGUSŁAWSKI |
| author_sort | ARTUR TYLISZCZAK |
| collection | DOAJ |
| description |
The paper presents comparison of the pseudospectral method with low-order approximation for two test cases. The first test case is quasi one-dimensional supersonic flow through convergingdiverging nozzle for which exact solution exists. Comparison of the error of pseudospectral approximation and upwind finite-differences using Steger-Warming flux splitting method shows high accuracy of the pseudospectral method even for few collocation points. The same conclusion is formulated for the second test case, namely incompressible flow in two-dimensional driven cavity solved by control volume formulation with modified QUICK upwinding scheme and SIMPLEC algorithm for pressure correction. As usually conclusions concerning accuracy of numerical methods are flow case dependent, but the two examples shown give some idea about the accuracy and resolution of spectral approximation versus standard CFD schemes.
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| first_indexed | 2024-04-13T09:07:32Z |
| format | Article |
| id | doaj.art-978e0a02779e4b10a0a39f858cc5e7c1 |
| institution | Directory Open Access Journal |
| issn | 1428-6394 |
| language | English |
| last_indexed | 2024-04-13T09:07:32Z |
| publishDate | 2000-04-01 |
| publisher | Gdańsk University of Technology |
| record_format | Article |
| series | TASK Quarterly |
| spelling | doaj.art-978e0a02779e4b10a0a39f858cc5e7c12022-12-22T02:52:57ZengGdańsk University of TechnologyTASK Quarterly1428-63942000-04-0142PSEUDOSPECTRAL APPROXIMATION COMPARED WITH CONTROL VOLUME FORMULATION AND FINITE DIFFERENCES - SOME TEST CASESARTUR TYLISZCZAK0ANDRZEJ BOGUSŁAWSKI1von Karman Institute for Fluid Dynamics, Aeronautics and Aeorespace DepartmentTechnical University of Czestochowa, Institute of Thermal Machinery The paper presents comparison of the pseudospectral method with low-order approximation for two test cases. The first test case is quasi one-dimensional supersonic flow through convergingdiverging nozzle for which exact solution exists. Comparison of the error of pseudospectral approximation and upwind finite-differences using Steger-Warming flux splitting method shows high accuracy of the pseudospectral method even for few collocation points. The same conclusion is formulated for the second test case, namely incompressible flow in two-dimensional driven cavity solved by control volume formulation with modified QUICK upwinding scheme and SIMPLEC algorithm for pressure correction. As usually conclusions concerning accuracy of numerical methods are flow case dependent, but the two examples shown give some idea about the accuracy and resolution of spectral approximation versus standard CFD schemes. https://journal.mostwiedzy.pl/TASKQuarterly/article/view/2435computational fluid dynamicsspectral methodspseudospectral methodsupersonic flowsdriven cavity |
| spellingShingle | ARTUR TYLISZCZAK ANDRZEJ BOGUSŁAWSKI PSEUDOSPECTRAL APPROXIMATION COMPARED WITH CONTROL VOLUME FORMULATION AND FINITE DIFFERENCES - SOME TEST CASES TASK Quarterly computational fluid dynamics spectral methods pseudospectral method supersonic flows driven cavity |
| title | PSEUDOSPECTRAL APPROXIMATION COMPARED WITH CONTROL VOLUME FORMULATION AND FINITE DIFFERENCES - SOME TEST CASES |
| title_full | PSEUDOSPECTRAL APPROXIMATION COMPARED WITH CONTROL VOLUME FORMULATION AND FINITE DIFFERENCES - SOME TEST CASES |
| title_fullStr | PSEUDOSPECTRAL APPROXIMATION COMPARED WITH CONTROL VOLUME FORMULATION AND FINITE DIFFERENCES - SOME TEST CASES |
| title_full_unstemmed | PSEUDOSPECTRAL APPROXIMATION COMPARED WITH CONTROL VOLUME FORMULATION AND FINITE DIFFERENCES - SOME TEST CASES |
| title_short | PSEUDOSPECTRAL APPROXIMATION COMPARED WITH CONTROL VOLUME FORMULATION AND FINITE DIFFERENCES - SOME TEST CASES |
| title_sort | pseudospectral approximation compared with control volume formulation and finite differences some test cases |
| topic | computational fluid dynamics spectral methods pseudospectral method supersonic flows driven cavity |
| url | https://journal.mostwiedzy.pl/TASKQuarterly/article/view/2435 |
| work_keys_str_mv | AT arturtyliszczak pseudospectralapproximationcomparedwithcontrolvolumeformulationandfinitedifferencessometestcases AT andrzejbogusławski pseudospectralapproximationcomparedwithcontrolvolumeformulationandfinitedifferencessometestcases |