Simple stabilizing matrices for the computation of compressible flows in primitive variables

The key ingredient that balances stability and accuracy in stabilized formulations is the parameter of intrinsic time-scales. For multi-dimensional hyperbolic systems of equations, this parameter is a matrix and the available expressions for its computation involve the solution of an eigenvalue problem, which can be tedious or cpu time consuming. Thus, for formulations based on primitive variables including pressure, a couple of simple stabilizing matrices are presented which are easy to implement and cpu-economic. Numerical evaluations show the performance of the various choices.

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