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AN ANALYSIS OF THE MARSHAK CONDITIONS FOR MATCHING BOLTZMANN AND EULER EQUATIONS
 

Summary: AN ANALYSIS OF THE MARSHAK CONDITIONS FOR
MATCHING BOLTZMANN AND EULER EQUATIONS
ANTON ARNOLD
Fachbereich Mathematik, MA 6-2, TU-Berlin, Stra e des 17. Juni 136
D-10623 Berlin, Germany, arnold@math.tu-berlin.de
and
Department of Mathematics, Purdue University
West Lafayette, IN 47907, USA
ULRICH GIERING
AGTM, Fachbereich Mathematik, Universitat Kaiserslautern
Kaiserslautern, Germany
dedicated to Helmut Neunzert on the occasion of his 60th birthday
Domain decomposition methods based on matching the Boltzmann and Euler equations
without overlapping are an important simulation technique in rare ed gas dynamics
and semiconductor device modeling. Many existing codes use the Marshak boundary
conditions (i.e., imposing continuity of the uxes) at the interface between the two
modeling regimes to implicitly determine the boundary data for the compressible Euler
equations.
In this paper we investigate the solvability of the Marshak conditions in the four di erent
ow situations sub-/supersonic in-/out ow in one spacial dimension and for selected cases

  

Source: Arnold, Anton - Institut für Analysis und Scientific Computing, Technische Universität Wien

 

Collections: Mathematics