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On Exact Conservation for the Euler Equations with Complex Equations of State
2010
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 solution and thus have the correct shock location. However, correct shock location results from any discretization whose violation of conservation approaches zero as the mesh is refined. Here we investigate the case
doi:10.4208/cicp.090909.100310a
fatcat:zbrht5tlg5eszing7yvwjybwcu