On the geometric conservation law for high-order discontinuous Galerkin discretizations on dynamically deforming meshes

@article{Mavriplis2011OnTG,
  title={On the geometric conservation law for high-order discontinuous Galerkin discretizations on dynamically deforming meshes},
  author={Dimitri J. Mavriplis and Cristian R. Nastase},
  journal={J. Comput. Physics},
  year={2011},
  volume={230},
  pages={4285-4300}
}
An approach for constructing high-order Discontinuous Galerkin schemes which preserve discrete conservation in the presence of arbitrary mesh motion, and thus obey the GCL, is derived. The approach is formulated for the most general case where only the coordinates defining the mesh elements are known at discrete locations in time, and results in the… CONTINUE READING