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Conservative hybrid compact-WENO schemes for shock-turbulence interaction. (English) Zbl 1045.76029
From the summary: We propose an efficient hybrid compact-WENO scheme to obtain high resolution in shock-turbulence interaction problems. The algorithm is based on a fifth-order compact upwind algorithm in conservation form to solve for the smooth part of the flow field, which is coupled with a high-resolution weighted essentially nonoscillatory (WENO) scheme to capture the discontinuities. The derivation of the compact scheme is discussed in detail, and a stability study of the full discretization is included. The performance of the numerical algorithm has been assessed by performing preliminary simulations on benchmark problems, such as the interaction of a shock wave with entropy and vortical disturbances.

MSC:
76M20 Finite difference methods applied to problems in fluid mechanics
76L05 Shock waves and blast waves in fluid mechanics
76F99 Turbulence
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