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Parallel computation of unsteady compressible flows with the EDICT. (English) Zbl 0951.76045

From the summary: Recently, the enhanced-discretization interface-capturing technique (EDICT) was introduced for simulation of unsteady flow problems with interfaces such as two-fluid and free-surface flows. Here we extend the EDICT to simulation of unsteady viscous compressible flows with boundary/shear layers and shock/expansion waves. The purpose is to increase the accuracy in selected regions of the computational domain. An error indicator is used to identify these regions that need enhanced discretization. Stabilized finite element formulations are employed to solve the Navier-Stokes equations in their conservation law form. We apply a parallel implementation of the EDICT-based method to test problems with shocks and boundary layers, and demonstrate that this method can be used effectively to increase the accuracy of the base finite element formulation.

MSC:

76M10 Finite element methods applied to problems in fluid mechanics
76N15 Gas dynamics (general theory)
65Y05 Parallel numerical computation
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