Numerical methods for unsteady thermal fluid structure interaction

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Abstract

We discuss thermal fluid-structure interaction processes, where a simulation of the time-dependent temperature field is of interest. Thereby, we consider partitioned coupling schemes with a Dirichlet-Neumann method. We present an analysis of the method on a model problem of discretized coupled linear heat equations. This shows that for large quotients in the heat conductivities, the convergence rate will be very small. The time dependencymakes the use of time-adaptive implicitmethods imperative. This gives rise to the question as to how accurately the appearing nonlinear systems should be solved, which is discussed in detail for both the nonlinear and linear case. The efficiency of the resulting method is demonstrated using realistic test cases.

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Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Beräkningsmatematik
Originalspråkengelska
Titel på värdpublikationFluid-Structure Interaction Modeling, Adaptive Discretisations and Solvers
RedaktörerFrei Stefan, Bärbel Holm, Thomas Richter, Thomas Wick, Huidong Yang
FörlagDe Gruyter
Sidor129-168
Antal sidor40
ISBN (elektroniskt)9783110494259
StatusPublished - 2017
PublikationskategoriForskning
Peer review utfördJa