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Improved Five- and Six-Point Targeted Essentially Nonoscillatory Schemes with Adaptive Dissipation.
- Source :
-
AIAA Journal . Mar2019, Vol. 57 Issue 3, p1143-1158. 16p. - Publication Year :
- 2019
-
Abstract
- This Paper proposes an improvement of the five- and six-point targeted essentially nonoscillatory (TENO5 and TENO6) schemes by introducing an adaptive dissipation-control strategy. Nonlinear numerical dissipation is controlled by dynamically adjusting the cutoff parameter in the TENO weighting strategy according to the first-order smoothness measure of the local flow scales. For the five-point reconstruction, the dissipation bandwidth of the underlying linear scheme is delayed by introducing slight antidissipation at low wave numbers with small dispersion errors. A new sixth-order scale-separation parameter τ5 is derived, and the modified TENO5-A scheme is third-order accurate. For the six-point reconstruction, the dispersion and dissipation errors are optimized separately, resulting in a modified fourth-order TENO6-A scheme. All necessary parameters are determined by spectral analyses and are shown to be problem independent by numerical experiments. A set of benchmark cases, including highly compressible gas dynamics and nearly incompressible and compressible turbulence decay, is considered. Numerical experiments demonstrate that both the proposed TENO5-A and TENO6-A schemes show excellent performance for shocks and broadband turbulence. The turbulence statistics obtained with TENO6-A at coarse resolution are comparable to those from the state-of-the-art implicit large-eddy simulation model and agree well with direct numerical simulation data. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00011452
- Volume :
- 57
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- AIAA Journal
- Publication Type :
- Academic Journal
- Accession number :
- 134980247
- Full Text :
- https://doi.org/10.2514/1.J057370