A simple second order cartesian scheme for compressible Euler flows
Abstract
We present a finite-volume scheme for compressible Euler flows where the grid is cartesian and it does not fit to the body. The scheme, based on the definition of an ad hoc Riemann problem at solid boundaries, is simple to implement and it is formally second order accurate. Results show that pressure is locally and globally second accurate, whereas the accuracy of other variables is between 1 and 2. Examples of flow solutions in two and three dimension are shown.
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