An Accuracy Assessment of Cartesian-Mesh Approaches for the Euler Equations: An accuracy assessment of Cartesian-mesh approaches for the Euler equations
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| Název: | An Accuracy Assessment of Cartesian-Mesh Approaches for the Euler Equations: An accuracy assessment of Cartesian-mesh approaches for the Euler equations |
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| Autoři: | Coirier, William J., Powell, Kenneth G. |
| Přispěvatelé: | Michigan Univ., Ann Arbor, NASA, Lewis Research Center, Cleveland, OH |
| Zdroj: | Journal of Computational Physics. 117:121-131 |
| Informace o vydavateli: | Elsevier BV, 1993. |
| Rok vydání: | 1993 |
| Témata: | cell-centred finite-volume upwind based scheme, Other numerical methods (fluid mechanics), Transonic flows, uniformly refined structured mesh, Aerospace Engineering, truncation error, Euler equations, 01 natural sciences, Engineering, 0103 physical sciences, Ringleb's flow, cell merging, \(K\)-exact reconstruction procedures, 0101 mathematics |
| Popis: | A critical assessment of the accuracy of Cartesian-mesh approaches for steady, transonic solutions of the Euler equations is made. An exact solution of the Euler equations (Ringleb's flow) is used not only to infer the order of the truncation error of the Cartesian-mesh approaches, but also to compare the magnitude of the discrete error directly to that obtained with a structured mesh approach. Uniformly and adaptively refined solutions using a Cartesian-mesh approach are obtained and compared to each other and to uniformly refined structured mesh results. The effect of cell merging is investigated as well as the use of two different \(K\)-exact reconstruction procedures. |
| Druh dokumentu: | Article Other literature type |
| Popis souboru: | application/xml; 1135409 bytes; 3112 bytes; application/pdf; text/plain |
| Jazyk: | English |
| ISSN: | 0021-9991 |
| DOI: | 10.1006/jcph.1995.1050 |
| DOI: | 10.2514/6.1993-3335 |
| Přístupová URL adresa: | http://deepblue.lib.umich.edu/bitstream/2027.42/76386/1/AIAA-1993-3335-607.pdf https://arc.aiaa.org/doi/10.2514/6.1993-3335 https://ntrs.nasa.gov/search.jsp?R=19930061032 https://ntrs.nasa.gov/search.jsp?R=19960010012 http://ui.adsabs.harvard.edu/abs/1995JCoPh.117..121C/abstract http://hdl.handle.net/2060/19960010012 https://dl.acm.org/doi/10.1006/jcph.1995.1050 http://deepblue.lib.umich.edu/bitstream/2027.42/76386/1/AIAA-1993-3335-607.pdf https://www.sciencedirect.com/science/article/pii/S0021999185710509 |
| Rights: | Elsevier TDM |
| Přístupové číslo: | edsair.doi.dedup.....db2bd0b8694953e2f88bf2cbecb5f1f8 |
| Databáze: | OpenAIRE |
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Nájsť tento článok vo Web of Science | Abstrakt: | A critical assessment of the accuracy of Cartesian-mesh approaches for steady, transonic solutions of the Euler equations is made. An exact solution of the Euler equations (Ringleb's flow) is used not only to infer the order of the truncation error of the Cartesian-mesh approaches, but also to compare the magnitude of the discrete error directly to that obtained with a structured mesh approach. Uniformly and adaptively refined solutions using a Cartesian-mesh approach are obtained and compared to each other and to uniformly refined structured mesh results. The effect of cell merging is investigated as well as the use of two different \(K\)-exact reconstruction procedures. |
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| ISSN: | 00219991 |
| DOI: | 10.1006/jcph.1995.1050 |