On the interaction problem between a compressible viscous fluid and a nonlinear thermoelastic plate

2020/10/04 by Srđan Trifunović, Yaguang Wang, Trifunović, Srđan +1 · 2 citations
Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Elasticity and Material Modeling #Thermoelastic and Magnetoelastic Phenomena

paper · pdf · doi:10.48550/arxiv.2010.01639

Abstract

In this paper we study the interaction problem between a nonlinear thermoelastic plate and a compressible viscous fluid with the adiabatic constant γ>12/7. The existence of a weak solution for this problem is obtained by constructing a time-continuous operator splitting scheme that decouples the fluid and the structure. The fluid sub-problem is given on a fixed reference domain in the arbitrary Lagrangian-Eulerian (ALE) formulation, and the continuity equation is damped on this domain as well. This allows the majority of the analysis to be performed on the fixed reference domain, while the convergence of the approximate pressure is obtained on the physical domain.

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• Weak solutions to a full compressible magnetohydrodynamic flow interacting with thermoelastic structure
• Contact in fluid-plate interaction: formation and detachment

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