An admissibility and asymptotic-preserving scheme for systems of conservation laws with source term on 2D unstructured meshes

@article{Blachre2016AnAA,
  title={An admissibility and asymptotic-preserving scheme for systems of conservation laws with source term on 2D unstructured meshes},
  author={Florian Blach{\`e}re and Rodolphe Turpault},
  journal={J. Comput. Physics},
  year={2016},
  volume={315},
  pages={98-123}
}
The objective of this work is to design explicit finite volumes schemes for specific systems of conservations laws with stiff source terms, which degenerate into diffusion equations. We propose a general framework to design an asymptotic preserving scheme, that is stable and consistent under a classical hyperbolic CFL condition in both hyperbolic and diffusive regime, for any two-dimensional unstructured mesh. Moreover, the scheme developed also preserves the set of admissible states, which is… CONTINUE READING
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