Improved algorithms for the solution of the time-dependent Euler equations are presented for unsteady aerodynamic analysis involving unstructured dynamic meshes. The improvements have been developed recently to the spatial and temporal discretizations used by unstructured grid flow solvers. The spatial discretization involves a flux-split approach, which is naturally dissipative and captures shock waves sharply with at most one grid point within the shock structure
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John T. Batina (1991) studied this question.
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