A Parallel Adaptive Newton-Krylov-Schwarz Method for 3D Compressible Inviscid Flow Simulations
A parallel adaptive pseudo transient Newton-Krylov-Schwarz (αΨNKS) method for the solution of compressible flows is presented. Multidimensional upwind residual distribution schemes are used for space discretisation, while an implicit time-marching scheme is employed for the discretisation of the (ps...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Modelling and Simulation in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2013/694354 |
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| author | Marzio Sala Pénélope Leyland Angelo Casagrande |
| author_facet | Marzio Sala Pénélope Leyland Angelo Casagrande |
| author_sort | Marzio Sala |
| collection | DOAJ |
| description | A parallel adaptive pseudo transient Newton-Krylov-Schwarz (αΨNKS) method for the solution of compressible flows is presented. Multidimensional upwind residual distribution schemes are used for space discretisation, while
an implicit time-marching scheme is employed for the discretisation of the (pseudo)time derivative. The linear system arising from the Newton method applied to the resulting nonlinear system is solved by the means of Krylov iterations with Schwarz-type preconditioners. A scalable and efficient data structure for the αΨNKS procedure is presented. The main computational kernels are considered, and an extensive analysis is reported to compare the Krylov accelerators, the preconditioning techniques. Results, obtained on a distributed memory computer, are presented for 2D and 3D problems of aeronautical interest on unstructured grids. |
| format | Article |
| id | doaj-art-c32e4473bdab44b887252f86d3e10b29 |
| institution | OA Journals |
| issn | 1687-5591 1687-5605 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Modelling and Simulation in Engineering |
| spelling | doaj-art-c32e4473bdab44b887252f86d3e10b292025-08-20T02:19:01ZengWileyModelling and Simulation in Engineering1687-55911687-56052013-01-01201310.1155/2013/694354694354A Parallel Adaptive Newton-Krylov-Schwarz Method for 3D Compressible Inviscid Flow SimulationsMarzio Sala0Pénélope Leyland1Angelo Casagrande2UBS Investment Bank, 8098 Zurich, SwitzerlandEPFL STI GR-SCI-IAG, Station 9, 1015 Lausanne, SwitzerlandEPFL STI GR-SCI-IAG, Station 9, 1015 Lausanne, SwitzerlandA parallel adaptive pseudo transient Newton-Krylov-Schwarz (αΨNKS) method for the solution of compressible flows is presented. Multidimensional upwind residual distribution schemes are used for space discretisation, while an implicit time-marching scheme is employed for the discretisation of the (pseudo)time derivative. The linear system arising from the Newton method applied to the resulting nonlinear system is solved by the means of Krylov iterations with Schwarz-type preconditioners. A scalable and efficient data structure for the αΨNKS procedure is presented. The main computational kernels are considered, and an extensive analysis is reported to compare the Krylov accelerators, the preconditioning techniques. Results, obtained on a distributed memory computer, are presented for 2D and 3D problems of aeronautical interest on unstructured grids.http://dx.doi.org/10.1155/2013/694354 |
| spellingShingle | Marzio Sala Pénélope Leyland Angelo Casagrande A Parallel Adaptive Newton-Krylov-Schwarz Method for 3D Compressible Inviscid Flow Simulations Modelling and Simulation in Engineering |
| title | A Parallel Adaptive Newton-Krylov-Schwarz Method for 3D Compressible Inviscid Flow Simulations |
| title_full | A Parallel Adaptive Newton-Krylov-Schwarz Method for 3D Compressible Inviscid Flow Simulations |
| title_fullStr | A Parallel Adaptive Newton-Krylov-Schwarz Method for 3D Compressible Inviscid Flow Simulations |
| title_full_unstemmed | A Parallel Adaptive Newton-Krylov-Schwarz Method for 3D Compressible Inviscid Flow Simulations |
| title_short | A Parallel Adaptive Newton-Krylov-Schwarz Method for 3D Compressible Inviscid Flow Simulations |
| title_sort | parallel adaptive newton krylov schwarz method for 3d compressible inviscid flow simulations |
| url | http://dx.doi.org/10.1155/2013/694354 |
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