Abstract
We present a construction of far-field boundary conditions on the outflow cross-section for axisymmetric two-dimensional compressible flows in a pipe. An unbounded downstream domain is considered, where the original subsonic flow is modelled via steady compressible Euler equations linearized about its mean value. The resulting system for the perturbations leads in particular to an exterior elliptic problem for the pressure. Its solution, calculated by means of Fourier analysis, provides the Dirichlet-to-Neumann map at the open boundary defining artificial boundary conditions in the form of the Steklov-Poincaré operator. We present a method for the approximation of this operator and exemplify our procedure for the case of a compressible plasma flow inside a self-field magnetoplasmadynamic accelerator.
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Coclici, C.A., Sofronov, I.L., Wendland, W.L. (2003). Artificial outlet boundary conditions for steady flows with rotational symmetry. In: Wendland, W., Efendiev, M. (eds) Analysis and Simulation of Multifield Problems. Lecture Notes in Applied and Computational Mechanics, vol 12. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36527-3_14
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DOI: https://doi.org/10.1007/978-3-540-36527-3_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-05633-8
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