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Contributions to Books:

T. Amro, C. Zheng:
"A PML Absorbing Boundary Condition for the Nonlinear Euler Equations in Unbounded Domains";
in: "ASC Report 03/2007", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2007, ISBN: 978-3-902627-00-1.



English abstract:
In this paper a PML absorbing boundary condition (ABC) is presented for the
nonlinear Euler equations. There are two steps involved. First, the PML technique is
applied to the Euler equations linearized about uniform and parallel flows. Then the
nonlinear PML equations are formed by replacing the linearized flux functions with
their nonlinear counterparts. Since a stiff source term gets involved in the nonlinear
PML equations, an Implicit-Explicit Runge-Kutta scheme is recommended to compute
numerical solutions. Some tests are performed, and the results demonstrate the
effectiveness of the proposed PML ABC

Keywords:
Euler equations, absorbing boundary conditions, unbounded domains,


Electronic version of the publication:
http://www.asc.tuwien.ac.at/preprint/2007/asc03x2007.pdf


Created from the Publication Database of the Vienna University of Technology.