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## A Comparative Performance Analysis of HLLC and AUSM+-up Riemann Solvers

#### Jishnu CHANDRAN R [1] , A SALİH [2]

An in-depth comparative performance evaluation of the HLLC (Harten-Lax-van Leer-Contact) and the latest version of the AUSM (Advection Upstream Splitting Method), the AUSM+-up, numerical schemes is carried out with the help of the one-dimensional shock tube problem. The efficiency of schemes is assessed on the basis of the accuracy in capturing of the shock, contact discontinuity, and the expansion fan in the solution. Numerical schemes viz., the upwind difference, the Godunov, the MacCormack, and the basic AUSM scheme are also investigated for their performance while solving the same problem to do a wider comparison. Numerical results from each method are compared against the exact solution to the problem. The HLLC numerical scheme is found to be the most efficient followed by AUSM+-up, which is marginally inferior with respect to the shock capturing accuracy.
Riemann Solvers, AUSM+-up, HLLC, Shock Tube Problem
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Primary Language en Engineering guz Articles Orcid: 0000-0003-3128-3595Author: Jishnu CHANDRAN R (Primary Author)Institution: Indian Institute of Space Science and Technology, ThiruvananthapuramCountry: India Orcid: 0000-0003-3771-5520Author: A SALİH Institution: Indian Institute of Space Science and TechnologyCountry: India Indian Institute of Space Science and Technology, Thiruvananthapuram. Publication Date : November 1, 2020
 Bibtex @research article { cankujse787003, journal = {Cankaya University Journal of Science and Engineering}, issn = {}, eissn = {2564-7954}, address = {}, publisher = {Cankaya University}, year = {2020}, volume = {17}, pages = {108 - 117}, doi = {}, title = {A Comparative Performance Analysis of HLLC and AUSM+-up Riemann Solvers}, key = {cite}, author = {Chandran R, Jishnu and Sali̇h, A} } APA Chandran R, J , Sali̇h, A . (2020). A Comparative Performance Analysis of HLLC and AUSM+-up Riemann Solvers . Cankaya University Journal of Science and Engineering , 17 (2) , 108-117 . Retrieved from https://dergipark.org.tr/en/pub/cankujse/issue/57636/787003 MLA Chandran R, J , Sali̇h, A . "A Comparative Performance Analysis of HLLC and AUSM+-up Riemann Solvers" . Cankaya University Journal of Science and Engineering 17 (2020 ): 108-117 Chicago Chandran R, J , Sali̇h, A . "A Comparative Performance Analysis of HLLC and AUSM+-up Riemann Solvers". Cankaya University Journal of Science and Engineering 17 (2020 ): 108-117 RIS TY - JOUR T1 - A Comparative Performance Analysis of HLLC and AUSM+-up Riemann Solvers AU - Jishnu Chandran R , A Sali̇h Y1 - 2020 PY - 2020 N1 - DO - T2 - Cankaya University Journal of Science and Engineering JF - Journal JO - JOR SP - 108 EP - 117 VL - 17 IS - 2 SN - -2564-7954 M3 - UR - Y2 - 2020 ER - EndNote %0 Cankaya University Journal of Science and Engineering A Comparative Performance Analysis of HLLC and AUSM+-up Riemann Solvers %A Jishnu Chandran R , A Sali̇h %T A Comparative Performance Analysis of HLLC and AUSM+-up Riemann Solvers %D 2020 %J Cankaya University Journal of Science and Engineering %P -2564-7954 %V 17 %N 2 %R %U ISNAD Chandran R, Jishnu , Sali̇h, A . "A Comparative Performance Analysis of HLLC and AUSM+-up Riemann Solvers". Cankaya University Journal of Science and Engineering 17 / 2 (November 2020): 108-117 . AMA Chandran R J , Sali̇h A . A Comparative Performance Analysis of HLLC and AUSM+-up Riemann Solvers. CUJSE. 2020; 17(2): 108-117. Vancouver Chandran R J , Sali̇h A . A Comparative Performance Analysis of HLLC and AUSM+-up Riemann Solvers. Cankaya University Journal of Science and Engineering. 2020; 17(2): 108-117. IEEE J. Chandran R and A. Sali̇h , "A Comparative Performance Analysis of HLLC and AUSM+-up Riemann Solvers", Cankaya University Journal of Science and Engineering, vol. 17, no. 2, pp. 108-117, Nov. 2020

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