In a number of situations it is convenient for the computational grid to follow moving boundaries. This can be implemented as a time-dependent coordinate transformation from a uniform, fixed computational space grid to a curvilinear, unsteady physical space grid.
2D Moving Piston - Animation of entropy, Mach number and density contour lines (300 kB GIF Animation)
Solid wall ends, elastic string shock tube, animation of Mach number contours, grid colored according to Mach (1.2 MB GIF Animation)
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