On Exact Conservation for the Euler Equations with Complex Equations of State

  title={On Exact Conservation for the Euler Equations with Complex Equations of State},
  author={Jeffrey W. Banks},
  journal={Communications in Computational Physics},
  • J. Banks
  • Published 2010
  • Mathematics
  • Communications in Computational Physics
Conservative numerical methods are often used for simulations of fluid flows involving shocks and other jumps with the understanding that conservation guarantees reasonable treatment near discontinuities. This is true in that convergent conservative approximations converge to weak solutions and thus have the correct shock locations. However, correct shock location results from any discretizationwhose violation of conservation approaches zero as the mesh is refined. Here we investigate the case… 
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