Multilevel Variable-Block Schur-Complement-Based Preconditioning for the Implicit Solution of the Reynolds- Averaged Navier-Stokes Equations Using Unstructured Grids
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| Název: | Multilevel Variable-Block Schur-Complement-Based Preconditioning for the Implicit Solution of the Reynolds- Averaged Navier-Stokes Equations Using Unstructured Grids |
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| Autoři: | Carpentieri, Bruno, Bonfiglioli, Aldo |
| Přispěvatelé: | Carpentieri, Bruno, Adela Ionescu, Bonfiglioli, Aldo |
| Informace o vydavateli: | IntechOpen Limited GBR Londra |
| Rok vydání: | 2018 |
| Sbírka: | Università degli Studi della Basilicata: CINECA IRIS |
| Témata: | computational fluid dynamics, Reynolds-averaged Navier-Stokes equations, Newton-Krylov methods, linear systems, sparse matrices, algebraic preconditioners, incomplete LU factorization, multilevel methods |
| Popis: | Implicit methods based on the Newton’s rootfinding algorithm are receiving an increasing attention for the solution of complex Computational Fluid Dynamics (CFD) applications due to their potential to converge in a very small number of iterations. This approach requires fast convergence acceleration techniques in order to compete with other conventional solvers, such as those based on artificial dissipation or upwind schemes, in terms of CPU time. In this chapter, we describe a multilevel variable-block Schur-complement-based preconditioning for the implicit solution of the Reynolds-averaged Navier-Stokes equations using unstructured grids on distributed-memory parallel computers. The proposed solver detects automatically exact or approximate dense structures in the linear system arising from the discretization, and exploits this information to enhance the robustness and improve the scalability of the block factorization. A complete study of the numerical and parallel performance of the solver is presented for the analysis of turbulent Navier-Stokes equations on a suite of threedimensional test cases. |
| Druh dokumentu: | book part |
| Jazyk: | English |
| Relation: | info:eu-repo/semantics/altIdentifier/isbn/978-953-51-3790-0; info:eu-repo/semantics/altIdentifier/isbn/978-953-51-3791-7; ispartofbook:Computational Fluid Dynamics Basic Instruments and Applications in Science; firstpage:43; lastpage:72; numberofpages:30; alleditors:Adela Ionescu; http://hdl.handle.net/11563/133826 |
| DOI: | 10.5772/intechopen.72043 |
| Dostupnost: | http://hdl.handle.net/11563/133826 https://doi.org/10.5772/intechopen.72043 https://www.intechopen.com/books/computational-fluid-dynamics-basic-instruments-and-applications-in-science/multilevel-variable-block-schur-complement-based-preconditioning-for-the-implicit-solution-of-the-re |
| Rights: | info:eu-repo/semantics/openAccess |
| Přístupové číslo: | edsbas.BB3A889E |
| Databáze: | BASE |
Nájsť tento článok vo Web of Science | Abstrakt: | Implicit methods based on the Newton’s rootfinding algorithm are receiving an increasing attention for the solution of complex Computational Fluid Dynamics (CFD) applications due to their potential to converge in a very small number of iterations. This approach requires fast convergence acceleration techniques in order to compete with other conventional solvers, such as those based on artificial dissipation or upwind schemes, in terms of CPU time. In this chapter, we describe a multilevel variable-block Schur-complement-based preconditioning for the implicit solution of the Reynolds-averaged Navier-Stokes equations using unstructured grids on distributed-memory parallel computers. The proposed solver detects automatically exact or approximate dense structures in the linear system arising from the discretization, and exploits this information to enhance the robustness and improve the scalability of the block factorization. A complete study of the numerical and parallel performance of the solver is presented for the analysis of turbulent Navier-Stokes equations on a suite of threedimensional test cases. |
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| DOI: | 10.5772/intechopen.72043 |