Asymptotic analysis of coupled problems for compressible flows

C. A. Coclici, J. Heiermann, Gh. Moroşanu and W. L. Wendland
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C. A. Coclici: Kaiserslautem University, Department of Mathematics
J. Heiermann: Stuttgart University, Institute for Space Systems
Gh. Moroşanu: “A.I. Cuza” University, Department of Mathematics
W. L. Wendland: Stuttgart University, Mathematical Institute A

A chapter in Numerical Mathematics and Advanced Applications, 2003, pp 55-64 from Springer

Abstract: Summary We consider a two-dimensional coupled transmission problem with the conservation laws for compressible viscous flows, where in a subdomain of the flow-field domain the terms modelling the viscosity and heat conductivity effects are strongly dominated by the convective part. In order to approximate the physical solution, we construct a reduced problem including the Navier-Stokes/Euler coupling of equations. An asymptotic analysis based on singular perturbation theory includes vector-valued boundary layer functions which are used in order to establish transmission conditions at the artificial interface and to improve the solution of the reduced coupled problem. We present numerical results confirming our asymptotic analysis, and an application associated with magneto-plasma-dynamic (MPD) flows.

Keywords: Mach Number; Asymptotic Analysis; Compressible Flow; Transmission Condition; Couple Problem (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-88-470-2089-4_5

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DOI: 10.1007/978-88-470-2089-4_5

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