swMATH ID: 6367
Software Authors: MS Liou; Ullrich, Paul A.; Jablonowski, Christiane
Description: A sequel to AUSM II: AUSM + -up for all speeds. We present ideas and procedure to extend the AUSM-family schemes to solve flows at all speed regimes. To achieve this, we first focus on the theoretical development for the low Mach number limit. Specifically, we employ asymptotic analysis to formally derive proper scalings for the numerical fluxes in the limit of small Mach number. The resulting new scheme is shown to be simple and remarkably improved from previous schemes in robustness and accuracy. The convergence rate is shown to be independent of Mach number in the low Mach number regime up to M ∞ =0·5, and it is also essentially constant in the transonic and supersonic regimes. Contrary to previous findings, the solution remains stable, even if no local preconditioning matrix is included in the time derivative term, albeit a different convergence history may occur. Moreover, the new scheme is demonstrated to be accurate against analytical and experimental results. In summary, the new scheme, named AUSM+-up, improves over previous versions and eradicates fails found therein.
Homepage: http://www.sciencedirect.com/science/article/pii/S0021999196902569
Keywords: Riemann solver
Cited in: 337 Documents
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Cited by 637 Authors

15 Kitamura, Keiichi
8 Evje, Steinar
8 Liou, Meng-Sing
7 Deck, Sebastien
7 Dick, Erik
7 Flåtten, Tore
7 Moguen, Yann
7 Niu, Yang-Yao
7 Quinlan, Nathan J.
7 Yan, Chao
6 Bruel, Pascal
6 Chang, Chih-Hao
6 Chen, Shusheng
6 Deng, Xiaolong
6 Qu, Feng
6 Sun, Di
6 Weiss, Pierre-élie
5 Billet, Germain
5 Li, Hua
5 Li, Xuesong
5 Schneider, Kai
5 Tian, Zhengyu
4 Adams, Nikolaus A.
4 Bai, Junqiang
4 Domingues, Margarete O.
4 Edwards, Jack R.
4 Gomes, Sônia Maria
4 Hu, Xiangyu Y.
4 Nonomura, Taku
4 Toro, Eleuterio Francisco
4 Xie, Wenjia
3 Chassaing, Jean-Camille
3 Corre, Christophe
3 De, Sudipta
3 Dellacherie, Stéphane
3 Deng, Xi
3 Fjelde, Kjell Kåre
3 Freund, Jonathan B.
3 Goncalves, Eric
3 Gu, Chunwei
3 Herbin, Raphaèle
3 Jiang, Lingjie
3 Kapen, Pascalin Tiam
3 Kim, Chongam
3 Kundu, Abhishek
3 Lani, Andrea
3 Latché, Jean-Claude
3 Lien, Fue-Sang
3 Lin, Boxi
3 Moghimi, Mohsen H.
3 Munkejord, Svend Tollak
3 Paillère, Henri
3 Pandare, Aditya K.
3 Pantano, Carlos
3 Roussel, Olivier
3 Sagaut, Pierre
3 Shima, Eiji
3 Shu, Chi-Wang
3 Terashima, Hiroshi
3 Wang, Zhijian
3 Xie, Bin
3 Zhang, Ye
2 Alvarez Laguna, A.
2 Avellan, François
2 Azevedo, João Luiz F.
2 Beneš, Luděk
2 Bocharov, A. N.
2 Bugeat, B.
2 Cascales, J. R. García
2 Chen, Biaosong
2 Clerc, Sébastien
2 Colonna, Piero
2 Desjardin, Paul E.
2 Ding, Hang
2 Fraysse, François
2 Fu, Song
2 Fujii, Kozo
2 Fürst, Jiří
2 Gao, Haiyang
2 Gao, Zhenghong
2 Gerlinger, Peter
2 Ghislain, Tchuen
2 Goudon, Thierry
2 Hashimoto, Atsushi
2 Hérard, Jean-Marc
2 Houim, Ryan W.
2 Jablonowski, Christiane
2 Jahanbakhsh, Ebrahim
2 John, Bibin
2 Kawashima, Rei
2 Kim, Kyuhong
2 Komurasaki, Kimiya
2 Kousksou, Tarik
2 Kulkarni, Vinayak S.
2 Li, Maojun
2 Li, Zhiyong
2 Liu, Jun
2 Liu, Qingsong
2 Liu, Yu
2 Luo, Hong
...and 537 more Authors
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Cited in 51 Serials

126 Journal of Computational Physics
85 Computers and Fluids
13 International Journal of Computational Fluid Dynamics
10 Journal of Fluid Mechanics
9 Communications in Computational Physics
7 International Journal for Numerical Methods in Fluids
5 Computer Methods in Applied Mechanics and Engineering
5 Applied Mathematics and Mechanics. (English Edition)
4 Computers & Mathematics with Applications
4 SIAM Journal on Scientific Computing
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Computer Physics Communications
3 Shock Waves
3 Applied Mathematics and Computation
3 European Journal of Mechanics. B. Fluids
3 Flow, Turbulence and Combustion
2 Fluid Dynamics
2 Mathematics and Computers in Simulation
2 Engineering Analysis with Boundary Elements
2 Mathematical Problems in Engineering
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
2 Combustion Theory and Modelling
2 Matematicheskoe Modelirovanie
2 Archives of Computational Methods in Engineering
2 International Journal of Computational Methods
2 Advances in Applied Mathematics and Mechanics
1 Acta Mechanica
1 Wave Motion
1 Mathematics of Computation
1 Numerische Mathematik
1 Applied Numerical Mathematics
1 Mathematical and Computer Modelling
1 Journal of Scientific Computing
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Computational Mathematics and Mathematical Physics
1 Applied Mathematical Modelling
1 SIAM Journal on Mathematical Analysis
1 Journal of Applied Mechanics and Technical Physics
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Comptes Rendus. Mécanique. Académie des Sciences, Paris
1 Communications on Pure and Applied Analysis
1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
1 Progress in Computational Fluid Dynamics
1 Acta Mechanica Sinica
1 Mathematical Modelling of Natural Phenomena
1 International Journal of Advances in Engineering Sciences and Applied Mathematics
1 Journal of the Korean Society for Industrial and Applied Mathematics
1 Advances in Computational Fluid Dynamics
1 Journal of Computational Methods in Physics
1 International Journal of Applied and Computational Mathematics
1 AMM. Applied Mathematics and Mechanics. (English Edition)

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