Abstract
External problems of fluid dynamics are modeled on artificially bounded regions. A method is proposed for applying nonreflecting boundary conditions to the linearized Euler equations obtained from the original nonlinear problem. The nonreflecting conditions are modified to allow for viscosity and nonhomogeneity of unperturbed background flow in linear Euler, Navier–Stokes, and quasi-fluid-dynamic models. One-dimensional test problems are computed in the linear and nonlinear cases.
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Dorodnitsyn, L.V. Nonreflecting Boundary Conditions for Nonlinear Problems of Fluid Dynamics. Computational Mathematics and Modeling 14, 246–276 (2003). https://doi.org/10.1023/A:1024491025251
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DOI: https://doi.org/10.1023/A:1024491025251