Abstract
The purpose of this paper is the description of the development and implementation of the linear part of a numerical algorithm for the simulation of a Newtonian fluid flow and the parallelization of that code on several computer architectures. The test problem treated is the steady state, laminar, incompressible, isothermic, 2D fluid flow (extendible to 3D case), the Navier-Stokes equations being discretized by a fully coupled finite volume method. For this problem, sparse data structures, nonstationary iterative methods and several preconditioners are applied. The numerical results allow the conclusion that the fully coupled version can compete with the decoupled classic SIMPLE method (Semi-Implicit Method for Pressure-Linked Equations), by using the Krylov subspace methods. Parallel versions of the coupled method based on nonoverlapping domain decomposition are discussed.
Chapter PDF
Keywords
- Outer Iteration
- Krylov Subspace Method
- Nonoverlapping Domain Decomposition
- Generalize Minimum Residual Algorithm
- Preconditioned Iterative Method
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
References
Castro, F.A.: Método de cálculo acoplado para a resoluç ão das equaç ões de Navier-Stokes e continuidade. PhD thesis, Fac. Engenharia da Universidade do Porto, 1997.
D’Almeida, F.D., Castro, F.A., Palma, J.M.L.M., Vasconcelos, P.B.: Development of a parallel implicit algorithm for CFD calculations. In AGARD Progress and Challenges in CFD Methods and Algorithms, 1996.
Patankar, S.: Numerical Heat Transfer and Fluid Flow. Hemisphere, Washington, DC, 1980.
Saad, Y.: ILUT: A dual threshold incomplete LU factorization. Num. Lin. Alg. Appl.1, pages 387–402, 1994.
Saad, Y., Schultz, M.: GMRES: A Generalized Minimum Residual Algorithm for solving nonsymmetric linear systems. SIAM, J. Sci. Statist. Comput. 7, pages 856–869, 1986.
Vasconcelos, P.B., D’Almeida, F.D.: Preconditioning iterative methods in coupled discretization of fluid flow problems. IMA Journal of Numerical Analysis, 18:385–397, 1998. CERFACS Technical Report TR/PA/96/04.
Vasconcelos, P.B.: Paralelizaç ão de Algoritmos de Álgebra Linear Numérica com Aplicaç ão a Mecânica de Fluidos Computacional. PhD thesis, Fac. Engenharia da Universidade do Porto, 1998.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Vasconcelos, P.B., d’Almeida, F.D. (1999). Nonoverlapping Domain Decomposition Applied to a Computational Fluid Mechanics Code. In: Amestoy, P., et al. Euro-Par’99 Parallel Processing. Euro-Par 1999. Lecture Notes in Computer Science, vol 1685. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48311-X_86
Download citation
DOI: https://doi.org/10.1007/3-540-48311-X_86
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-66443-7
Online ISBN: 978-3-540-48311-3
eBook Packages: Springer Book Archive