An unsplit Godunov method for systems of conservation laws on curvilinear overlapping grids

The overlapping grid or Chimera method for representation of complex geometries within the context of finite difference methods has been used effectively for a variety of problems, particularly in the area hydrodynamic simulation. In this paper, we introduce a second-order unsplit upwind method of Godunov type for curvilinear coordinates and apply it to gas dynamics simulations involving complex geometries by using overlapping grids.

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