Abstract
In this paper, we propose a numerical method for problems of two-dimensional steady irrotational flows of compressible fluid. The basic equations are nonlinear partial differential equations, which are difficult to solve. But, in the cases of subsonic flow, the so-calledM 2-expansion method, where the solutions are expressed as power series of the Mach numbers, reduces our problem to the Dirichlet problems of analytic functions, whose real and imaginary parts obey the Laplace equation. We apply the charge simulation method, a fast solver for potential problems, to these Dirichlet problems and obtain an approximate solution including linear combinations of the complex logarithmic potentials. Numerical examples for some typical cases show the effectiveness of our method.
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This study is supported by the Grant-in-Aid for Young Scientists (B) (No. 14750054), Japan Society for the Promotion of Science.
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Ogata, H. Charge simulation method for two-dimensional compressible fluid flow. Japan J. Indust. Appl. Math. 22, 1 (2005). https://doi.org/10.1007/BF03167473
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DOI: https://doi.org/10.1007/BF03167473