Study of Conservation on Implicit Techniques for Unstructured Finite Volume Navier-Stokes Solvers
The work is a study of conservation on linearization techniques of time-marching schemes for the unstructured finite volume Reynolds-averaged Navier-Stokes formulation. The solver used in this work calculates the numerical flux applying an upwind discretization based on the flux vector splitting sch...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Instituto de Aeronáutica e Espaço (IAE)
2014-09-01
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| Series: | Journal of Aerospace Technology and Management |
| Subjects: | |
| Online Access: | https://www.jatm.com.br/jatm/article/view/371 |
| _version_ | 1818096422069731328 |
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| author | Carlos Junqueira-Junior Leonardo Costa Scalabrin Edson Basso João Luiz F. Azevedo |
| author_facet | Carlos Junqueira-Junior Leonardo Costa Scalabrin Edson Basso João Luiz F. Azevedo |
| author_sort | Carlos Junqueira-Junior |
| collection | DOAJ |
| description | The work is a study of conservation on linearization techniques of time-marching schemes for the unstructured finite volume Reynolds-averaged Navier-Stokes formulation. The solver used in this work calculates the numerical flux applying an upwind discretization based on the flux vector splitting scheme. This numerical treatment results in a very large sparse linear system. The direct solution of this full implicit linear system is very expensive and, in most cases, impractical. There are several numerical approaches which are commonly used by the scientific community to treat sparse linear systems, and the point-implicit integration was selected in the present case. However, numerical approaches to solve implicit linear systems can be non-conservative in time, even for formulations which are conservative by construction, as the finite volume techniques. Moreover, there are physical problems which strongly demand conservative schemes in order to achieve the correct numerical solution. The work presents results of numerical simulations to evaluate the conservation of implicit and explicit time-marching methods and discusses numerical requirements that can help avoiding such non-conservation issues. |
| first_indexed | 2024-12-10T23:04:22Z |
| format | Article |
| id | doaj.art-0a0a8c418aa8454699ee0b10c136b70b |
| institution | Directory Open Access Journal |
| issn | 2175-9146 |
| language | English |
| last_indexed | 2024-12-10T23:04:22Z |
| publishDate | 2014-09-01 |
| publisher | Instituto de Aeronáutica e Espaço (IAE) |
| record_format | Article |
| series | Journal of Aerospace Technology and Management |
| spelling | doaj.art-0a0a8c418aa8454699ee0b10c136b70b2022-12-22T01:30:04ZengInstituto de Aeronáutica e Espaço (IAE)Journal of Aerospace Technology and Management2175-91462014-09-0163Study of Conservation on Implicit Techniques for Unstructured Finite Volume Navier-Stokes SolversCarlos Junqueira-Junior0Leonardo Costa Scalabrin1Edson Basso2João Luiz F. Azevedo3Instituto Tecnológico de AeronáuticaEMBRAER SA.Instituto de Aeronáutica e EspaçoInstituto de Aeronáutica e EspaçoThe work is a study of conservation on linearization techniques of time-marching schemes for the unstructured finite volume Reynolds-averaged Navier-Stokes formulation. The solver used in this work calculates the numerical flux applying an upwind discretization based on the flux vector splitting scheme. This numerical treatment results in a very large sparse linear system. The direct solution of this full implicit linear system is very expensive and, in most cases, impractical. There are several numerical approaches which are commonly used by the scientific community to treat sparse linear systems, and the point-implicit integration was selected in the present case. However, numerical approaches to solve implicit linear systems can be non-conservative in time, even for formulations which are conservative by construction, as the finite volume techniques. Moreover, there are physical problems which strongly demand conservative schemes in order to achieve the correct numerical solution. The work presents results of numerical simulations to evaluate the conservation of implicit and explicit time-marching methods and discusses numerical requirements that can help avoiding such non-conservation issues.https://www.jatm.com.br/jatm/article/view/371Computational fluid dynamicsTime marching methodsFlux vector splitting schemeConservative discretization. |
| spellingShingle | Carlos Junqueira-Junior Leonardo Costa Scalabrin Edson Basso João Luiz F. Azevedo Study of Conservation on Implicit Techniques for Unstructured Finite Volume Navier-Stokes Solvers Journal of Aerospace Technology and Management Computational fluid dynamics Time marching methods Flux vector splitting scheme Conservative discretization. |
| title | Study of Conservation on Implicit Techniques for Unstructured Finite Volume Navier-Stokes Solvers |
| title_full | Study of Conservation on Implicit Techniques for Unstructured Finite Volume Navier-Stokes Solvers |
| title_fullStr | Study of Conservation on Implicit Techniques for Unstructured Finite Volume Navier-Stokes Solvers |
| title_full_unstemmed | Study of Conservation on Implicit Techniques for Unstructured Finite Volume Navier-Stokes Solvers |
| title_short | Study of Conservation on Implicit Techniques for Unstructured Finite Volume Navier-Stokes Solvers |
| title_sort | study of conservation on implicit techniques for unstructured finite volume navier stokes solvers |
| topic | Computational fluid dynamics Time marching methods Flux vector splitting scheme Conservative discretization. |
| url | https://www.jatm.com.br/jatm/article/view/371 |
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