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A Solver for Stiff Finite-Rate Relaxation in Baer–Nunziato Two-Phase Flow Models

  • Simone ChiocchettiEmail author
  • Christoph Müller
Conference paper
  • 75 Downloads
Part of the Fluid Mechanics and Its Applications book series (FMIA, volume 121)

Abstract

In this paper we present a technique for constructing robust solvers for stiff algebraic source terms, such as those typically used for modelling relaxation processes in hyperbolic systems of partial differential equations describing two-phase flows, namely models of the Baer–Nunziato family. The method is based on an exponential integrator which employs an approximate linearised source term operator that is constructed in such a way that one can compute solutions to the linearised equations avoiding any delicate matrix inversion operations.

Notes

Acknowledgements

The authors of this work were supported by the German Research Foundation (DFG) through the project GRK 2160/1 “Droplet Interaction Technologies”.

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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Laboratory of Applied MathematicsUniversity of TrentoTrentoItaly
  2. 2.Institute of Aerodynamics and GasdynamicsStuttgartGermany

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