Using a Curvilinear Grid to Construct Symmetry-Preserving Discretizations for Lagrangian Gas Dynamics

@inproceedings{Margolin1998UsingAC,
  title={Using a Curvilinear Grid to Construct Symmetry-Preserving Discretizations for Lagrangian Gas Dynamics},
  author={Len G. Margolin and Mikhail J. Shashkov},
  year={1998}
}
The goal of this paper is to construct discretizations for the equations of Lagrangian gas dynamics that preserve plane, cylindrical, and spherical symmetry in the solution of the original differential equations. The new method uses a curvilinear grid that is reconstructed from a given logically rectangular distribution of nodes. The sides of the cells of the reconstructed grid can be segments of straight lines or arcs of local circles. Our procedure is exact for straight lines and circles… CONTINUE READING
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