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The Development of Fully Coupled Simulation Software by Reusing Segregated Solvers

  • Mika Malinen
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7133)

Abstract

Computational methods for solving coupled systems of partial differential equations can generally be divided into segregated and monolithic solvers. Monolithic solvers are often considered to be computationally expensive, and it is believed that their rewards are realized only in situations where segregated solvers have convergence problems due to the strong coupling. We give opposite empirical evidence by demonstrating that cost-effective monolithic solvers may be derived from using segregated solvers as preconditioners in the iterative solution of monolithic systems.

Keywords

monolithic solver segregated solver preconditioning Elmer software incompressible flow 

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References

  1. 1.
    Elmer finite element software homepage, http://www.csc.fi/elmer
  2. 2.
    Guermond, J.L., Shen, J.: A New Class of Truly Consistent Splitting Schemes for Incompressible Flows. J. Comput. Phys. 192, 262–276 (2003)MathSciNetCrossRefzbMATHGoogle Scholar
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    Schäfer, M., Turek, S.: Benchmark Computations of Laminar Flow Around a Cylinder. In: Hirschel, E.H. (ed.) Notes on Numerical Fluid Mechanics, vol. 52, pp. 547–566. Vieweg (1996)Google Scholar
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    Heil, M., Hazel, A.L., Boyle, J.: Solvers for Large-Displacement Fluid-Structure Interaction Problems: Segregated vs. Monolithic Approaches. Computational Mechanics 43, 91–101 (2008)CrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Mika Malinen
    • 1
  1. 1.CSC – IT Center for Science Ltd.EspooFinland

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