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Asymptotic analysis of coupled problems for compressible flows

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • 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)

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.

Suggested Citation

  • C. A. Coclici & J. Heiermann & Gh. Moroşanu & W. L. Wendland, 2003. "Asymptotic analysis of coupled problems for compressible flows," Springer Books, in: Franco Brezzi & Annalisa Buffa & Stefania Corsaro & Almerico Murli (ed.), Numerical Mathematics and Advanced Applications, pages 55-64, Springer.
    • Handle: RePEc:spr:sprchp:978-88-470-2089-4_5
    DOI: 10.1007/978-88-470-2089-4_5
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