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

Yiqing Shen, GeCheng Zha, Guowei Yang, Zhi Gao

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

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 languageEnglish
Title of host publication42nd AIAA Fluid Dynamics Conference and Exhibit 2012
StatePublished - Dec 1 2012
Event42nd AIAA Fluid Dynamics Conference and Exhibit 2012 - New Orleans, LA, United States
Duration: Jun 25 2012Jun 28 2012

Other

Other42nd AIAA Fluid Dynamics Conference and Exhibit 2012
CountryUnited States
CityNew Orleans, LA
Period6/25/126/28/12

Fingerprint

Detectors
Shock waves

ASJC Scopus subject areas

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

Cite this

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

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. 2012.

Research output: Chapter in Book/Report/Conference proceedingConference 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, New Orleans, LA, United States, 6/25/12.
Shen Y, Zha G, Yang G, Gao Z. Comparisons of high order hybrid schemes using a parameter-free discontinuity detector. In 42nd AIAA Fluid Dynamics Conference and Exhibit 2012. 2012
Shen, Yiqing ; Zha, GeCheng ; Yang, Guowei ; Gao, Zhi. / Comparisons of high order hybrid schemes using a parameter-free discontinuity detector. 42nd AIAA Fluid Dynamics Conference and Exhibit 2012. 2012.
@inproceedings{21c6f6f1aff9485a9d27ec49cb16a76d,
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.",
author = "Yiqing Shen and GeCheng Zha and Guowei Yang and Zhi Gao",
year = "2012",
month = "12",
day = "1",
language = "English",
isbn = "9781600869334",
booktitle = "42nd AIAA Fluid Dynamics Conference and Exhibit 2012",

}

TY - GEN

T1 - Comparisons of high order hybrid schemes using a parameter-free discontinuity detector

AU - Shen, Yiqing

AU - Zha, GeCheng

AU - Yang, Guowei

AU - Gao, Zhi

PY - 2012/12/1

Y1 - 2012/12/1

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.

UR - http://www.scopus.com/inward/record.url?scp=84881234208&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84881234208&partnerID=8YFLogxK

M3 - Conference contribution

SN - 9781600869334

BT - 42nd AIAA Fluid Dynamics Conference and Exhibit 2012

ER -