499 RWTH Publication No: 775906        2020        IGPM499.pdf
TITLE Coupling of Linear Elastic Equations and Compressible Euler Equations and Stiffened Gas
AUTHORS Michael Herty, Siegfried Müller, Aleksey Sikstel
ABSTRACT Modelling of cavitation phenomena requires coupling of models for fluid and solid materials. For this purpose we extend a strategy based on the solution of coupled Riemann problems, proposed in [9]. The coupling strategy for the case of perfect gas equation of state has been established and validated in [8]. In this work we include the case of a stiffened gas and derive conditions under which there exists a unique solution to coupled Riemann problems.
KEYWORDS Linear elastic equations, compressible Euler equations, coupling conditions, coupled Riemann problem, Lax curves
DOI 10.1007/978-3-030-62732-4_13
PUBLICATION In: Göttlich S., Herty M., Milde A. (eds) Mathematical Modeling, Simulation and Optimization for Power Engineering and Management.
Mathematics in Industry, volume 34, pp 285-302, Springer