Rosenbrock time integration for unsteady flow simulations

Conference paper (2013)
Department
Aerodynamics, Wind Energy & Propulsion (Aerospace Engineering) (TU Delft)
Copyright: © 2013 The Author(s)
Higher order time integration ESDIRK Rosenbrock time integration Unsteady flow simulations Rosenbrock-Wanner methods
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Published Date

17-06-2013

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Source:

Coupled Problems 2013: Proceedings of the 5th International Conference on Computational Methods for Coupled Problems in Science and Engineering, Ibiza, Spain, 17-19 June 2013

ISBN:

978-84-941407-6-1

Faculty

Aerospace Engineering

Department

Aerodynamics, Wind Energy & Propulsion

Abstract

This contribution compares the efficiency of Rosenbrock time integration schemes with ESDIRK schemes, applicable to unsteady flow and fluid-structure interaction simulations. Compared to non-linear ESDIRK schemes, the linear implicit Rosenbrock-Wanner schemes require subsequent solution of the same linear systems with different right hand sides. By solving the linear systems with the iterative solver GMRES, the preconditioner can be reused for the subsequent stages of the Rosenbrock-Wanner scheme. Unsteady flow simulations show a gain in computational efficiency of approximately factor three to five in comparison with ESDIRK.

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