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On some mathematical modelling of self‐field MPD thrusters
Author(s) -
Coclici C.A.,
Heiermann J.,
Moroşanu G.,
Wendland W.L.
Publication year - 2004
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200310129
Subject(s) - partial differential equation , mathematical model , domain decomposition methods , conservation law , boundary value problem , decomposition , rocket (weapon) , mathematics , mechanics , domain (mathematical analysis) , field (mathematics) , compressibility , classical mechanics , physics , mathematical analysis , engineering , aerospace engineering , finite element method , thermodynamics , chemistry , statistics , organic chemistry , pure mathematics
We are concerned with the mathematical modelling of high‐enthalpy compressible plasma flows of magnetoplasmadynamic (MPD) rocket thrusters. A closed system of partial differential equations is associated with corresponding two‐fluid flows which are subjected to strong electromagnetic fields. The numerical solution of the full original model requires nowadays huge computational costs. Therefore we use a heterogeneous domain decomposition where the corresponding coupled model is based on simplified conservation laws in a large subdomain. We establish new transmission conditions for the coupled MPD model, which appear as a byproduct of a detailed asymptotic analysis of the artificial interfaces that arise by domain decomposition. Moreover, a complete coupled mathematical MPD model is formulated, including appropriate outer boundary conditions. The well‐posedness of this model is discussed by using mathematical as well as physical arguments.