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Center for Nonlinear Studies |
We introduce a simple new Eulerian method for treatment of moving boundaries in compressible fluid computations. Our approach is based on the extension of the interface tracking method we proposed in the context of multifluids. The fluid domain is placed in a rectangular computational domain of a fixed size, which is divided into Cartesian cells. At every discrete time level, there are three types of cells: internal, boundary, and external ones. The evolution equations for inner points data are obtained from the discretization of the governing equation, while the data at the external points are obtained by a suitable extrapolation of the primitive variables (density, velocities and pressure). Particular care is devoted to a proper description of the boundary conditions for both fixed and time dependent domains. The proposed computational framework is general and may be used in conjunction with one’s favorite finite-volume or finite-difference method. The robustness of the new approach is illustrated on a number of one- and two-dimensional numerical examples.
Host: Dr. Mikhail Shashkov