Comparisons of high order hybrid schemes using a parameter-free discontinuity detector

Yiqing Shen; Gecheng Zha; Guowei Yang; Zhi Gao

doi:10.2514/6.2012-2839

Comparisons of high order hybrid schemes using a parameter-free discontinuity detector

Yiqing Shen, Gecheng Zha, Guowei Yang, Zhi Gao

Mechanical & Aerospace Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

3 Scopus citations

Abstract

In order to simulate accurately the interaction of shock wave/complex flows, hybrid schemes combining the compact scheme and weighted essentially non-oscillatory(WENO) schemes are beneficial, due to the high order low diffusion schemes used in smooth regions. There are two key issues for a hybrid scheme, one is how to detect the discontinuity, the other is how to implement the high order low diffusion scheme to ensure the accuracy, robustness and efficiency. In this paper, several high order schemes are used with the fifth order WENO scheme to form the hybrid schemes based on the discontinuity detector proposed by Shen and Zha(Y. Shen, G.Zha, J. Compu. Phys., 2011, 230:4419-4436). The different hybrid schemes are compared for their accuracy and convergence.

Original language	English (US)
Title of host publication	42nd AIAA Fluid Dynamics Conference and Exhibit 2012
Publisher	American Institute of Aeronautics and Astronautics Inc.
ISBN (Print)	9781600869334
DOIs	https://doi.org/10.2514/6.2012-2839
State	Published - 2012
Event	42nd AIAA Fluid Dynamics Conference and Exhibit 2012 - New Orleans, LA, United States Duration: Jun 25 2012 → Jun 28 2012

Publication series

Name	42nd AIAA Fluid Dynamics Conference and Exhibit 2012

Other

Other	42nd AIAA Fluid Dynamics Conference and Exhibit 2012
Country/Territory	United States
City	New Orleans, LA
Period	6/25/12 → 6/28/12

ASJC Scopus subject areas

Fluid Flow and Transfer Processes
Energy Engineering and Power Technology
Aerospace Engineering
Mechanical Engineering

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10.2514/6.2012-2839

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Comparisons of high order hybrid schemes using a parameter-free discontinuity detector. / Shen, Yiqing; Zha, Gecheng; Yang, Guowei; Gao, Zhi.

42nd AIAA Fluid Dynamics Conference and Exhibit 2012. American Institute of Aeronautics and Astronautics Inc., 2012. (42nd AIAA Fluid Dynamics Conference and Exhibit 2012).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Shen, Y, Zha, G, Yang, G & Gao, Z 2012, Comparisons of high order hybrid schemes using a parameter-free discontinuity detector. in 42nd AIAA Fluid Dynamics Conference and Exhibit 2012. 42nd AIAA Fluid Dynamics Conference and Exhibit 2012, American Institute of Aeronautics and Astronautics Inc., 42nd AIAA Fluid Dynamics Conference and Exhibit 2012, New Orleans, LA, United States, 6/25/12. https://doi.org/10.2514/6.2012-2839

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title = "Comparisons of high order hybrid schemes using a parameter-free discontinuity detector",

abstract = "In order to simulate accurately the interaction of shock wave/complex flows, hybrid schemes combining the compact scheme and weighted essentially non-oscillatory(WENO) schemes are beneficial, due to the high order low diffusion schemes used in smooth regions. There are two key issues for a hybrid scheme, one is how to detect the discontinuity, the other is how to implement the high order low diffusion scheme to ensure the accuracy, robustness and efficiency. In this paper, several high order schemes are used with the fifth order WENO scheme to form the hybrid schemes based on the discontinuity detector proposed by Shen and Zha(Y. Shen, G.Zha, J. Compu. Phys., 2011, 230:4419-4436). The different hybrid schemes are compared for their accuracy and convergence.",

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AU - Zha, Gecheng

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N2 - In order to simulate accurately the interaction of shock wave/complex flows, hybrid schemes combining the compact scheme and weighted essentially non-oscillatory(WENO) schemes are beneficial, due to the high order low diffusion schemes used in smooth regions. There are two key issues for a hybrid scheme, one is how to detect the discontinuity, the other is how to implement the high order low diffusion scheme to ensure the accuracy, robustness and efficiency. In this paper, several high order schemes are used with the fifth order WENO scheme to form the hybrid schemes based on the discontinuity detector proposed by Shen and Zha(Y. Shen, G.Zha, J. Compu. Phys., 2011, 230:4419-4436). The different hybrid schemes are compared for their accuracy and convergence.

AB - In order to simulate accurately the interaction of shock wave/complex flows, hybrid schemes combining the compact scheme and weighted essentially non-oscillatory(WENO) schemes are beneficial, due to the high order low diffusion schemes used in smooth regions. There are two key issues for a hybrid scheme, one is how to detect the discontinuity, the other is how to implement the high order low diffusion scheme to ensure the accuracy, robustness and efficiency. In this paper, several high order schemes are used with the fifth order WENO scheme to form the hybrid schemes based on the discontinuity detector proposed by Shen and Zha(Y. Shen, G.Zha, J. Compu. Phys., 2011, 230:4419-4436). The different hybrid schemes are compared for their accuracy and convergence.

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Comparisons of high order hybrid schemes using a parameter-free discontinuity detector

Abstract

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