A hybrid method with TENO based discontinuity indicator for hyperbolic conservation laws. (English) Zbl 1518.65098
The author proposes a new discontinuity indicator based on the TENO weighting strategy. This new discontinuity indicator can distinguish the nonsmooth scales from smooth regions in spectral space. Based on the new discontinuity indicator, a hybrid shock-capturing scheme is developed in combination with the fourth-order TENO6 scheme. Several numerical tests are presented to show the efficiency of the proposed scheme. Numerical experiments demonstrate that the proposed indicator can locate the discontinuities accurately. Compared to the standard TENO6 scheme, the efficiency speedup by exploiting the proposed hybrid scheme is remarkable.
Reviewer: Abdallah Bradji (Annaba)
MSC:
| 65M08 | Finite volume methods for initial value and initial-boundary value problems involving PDEs |
| 65M06 | Finite difference methods for initial value and initial-boundary value problems involving PDEs |
| 76J20 | Supersonic flows |
| 76N15 | Gas dynamics (general theory) |
| 76F05 | Isotropic turbulence; homogeneous turbulence |
| 35L65 | Hyperbolic conservation laws |
| 35Q35 | PDEs in connection with fluid mechanics |
Keywords:
TENO; high-order scheme; shock-capturing scheme; nonlinear scheme; finite volume method; finite difference methodSoftware:
ShadowfaxReferences:
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