Numerical experiments on a hybrid WENO5 filter for shock‐capturing

Hossein Mahmoodi Darian; Reza Bozorgpour; Maziar Shafaee

doi:10.1002/num.22419

journal article Aug 24, 2019

Numerical experiments on a hybrid WENO5 filter for shock‐capturing

Hossein Mahmoodi Darian Reza Bozorgpour Maziar Shafaee

Numerical Methods for Partial Differential Equations Vol. 35 No. 6 pp. 2375-2406 · Wiley

View at Publisher Save 10.1002/num.22419

Abstract

AbstractIn the present paper, a hybrid filter is introduced for high accurate numerical simulation of shock‐containing flows. The fourth‐order compact finite difference scheme is used for the spatial discretization and the third‐order Runge–Kutta scheme is used for the time integration. After each time‐step, the hybrid filter is applied on the results. The filter is composed of a linear sixth‐order filter and the dissipative part of a fifth‐order weighted essentially nonoscillatory scheme (WENO5). The classic WENO5 scheme and the WENO5 scheme with adaptive order (WENO5‐AO) are used to form the hybrid filter. Using a shock‐detecting sensor, the hybrid filter reduces to the linear sixth‐order filter in smooth regions for damping high frequency waves and reduces to the WENO5 filter at shocks in order to eliminate unwanted oscillations produced by the nondissipative spatial discretization method. The filter performance and accuracy of the results are examined through several test cases including the advection, Euler and Navier–Stokes equations. The results are compared with that of a hybrid second‐order filter and also that of the WENO5 and WENO5‐AO schemes.

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Citations

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References

Details

Published: Aug 24, 2019
Vol/Issue: 35(6)
Pages: 2375-2406
License: View

Authors

H

Hossein Mahmoodi Darian

School of Engineering Science, College of Engineering University of Tehran Tehran Iran

R

Reza Bozorgpour

Faculty of New Sciences and Technologies University of Tehran Tehran Iran

M

Maziar Shafaee

Faculty of New Sciences and Technologies University of Tehran Tehran Iran

Funding

University of Tehran

Cite This Article

Hossein Mahmoodi Darian, Reza Bozorgpour, Maziar Shafaee (2019). Numerical experiments on a hybrid WENO5 filter for shock‐capturing. Numerical Methods for Partial Differential Equations, 35(6), 2375-2406. https://doi.org/10.1002/num.22419

Numerical experiments on a hybrid WENO5 filter for shock‐capturing

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