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MOOD

swMATH ID: 39744
Software Authors: Clain, S.; Diot, S.; Loubère, R.
Description: A high-order finite volume method for systems of conservation laws-multi-dimensional optimal order detection (MOOD). We investigate an original way to deal with the problems generated by the limitation process of high-order finite volume methods based on polynomial reconstructions. Multi-dimensional Optimal Order Detection (MOOD) breaks away from classical limitations employed in high-order methods. The proposed method consists of detecting problematic situations after each time update of the solution and of reducing the local polynomial degree before recomputing the solution. As multi-dimensional MUSCL methods, the concept is simple and independent of mesh structure. Moreover MOOD is able to take physical constraints such as density and pressure positivity into account through an “a posteriori” detection. Numerical results on classical and demanding test cases for advection and Euler system are presented on quadrangular meshes to support the promising potential of this approach.
Homepage: https://www.sciencedirect.com/science/article/pii/S002199911100115X
Keywords: shallow-water; finite volume; high-order; non-conservative problem; MOOD; MUSCL
Related Software: HE-E1GODF; HLLE; ReALE; RIEMANN; Gmsh; Peano; SWASHES; AMRCLAW; ADER-DG; SHASTA; AUSM; ECHO; CHIC; HLLC; RAMSES; NIRVANA; SLIC; PVM; CUDA; CALIF3S
Referenced in: 117 Publications
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Referenced by 179 Authors

35 Dumbser, Michael
23 Loubère, Raphaël
16 Boscheri, Walter
16 Clain, Stéphane Louis
7 Machado, Gaspar J.
6 Xiao, Feng
5 Nogueira, Xesús
5 Ramirez, Luis J.
5 Zanotti, Olindo
4 Balsara, Dinshaw S.
4 Busto, Saray
4 Colominas, Ignasi
4 Costa, Ricardo
4 Deng, Xi
4 Diot, Steven
4 Jiang, Zhenhua
4 Tavelli, Maurizio
4 Turpault, Rodolphe
4 Yan, Chao
4 Yu, Jian
3 Berthon, Christophe
3 Blachère, Florian
3 Chiocchetti, Simone
3 Dimarco, Giacomo
3 Fernández-Fidalgo, Javier
3 Gaburro, Elena
3 Hidalgo, Arturo
3 Maire, Pierre-Henri
3 Michel-Dansac, Victor
3 Zhang, Huaibao
2 Bader, Michael
2 Borsche, Raul
2 Eimer, Matthias
2 Fambri, Francesco
2 Foucher, Françoise
2 Gavrilyuk, Sergey L.
2 Hajduk, Hennes
2 Herbin, Raphaèle
2 Hubert, Florence
2 Ioriatti, Matteo
2 Kuzmin, Dmitri
2 Latché, Jean-Claude
2 Liao, Shijun
2 Peshkov, Ilya M.
2 Romenskii, Evgenii I.
2 Semplice, Matteo
2 Shu, Chi-Wang
2 Siedow, Norbert
2 Tesson, Remi
2 Tsoutsanis, Panagiotis
2 Vázquez-Cendón, María Elena
2 Vilar, François
2 Weinzierl, Tobias
2 Xie, Bin
2 Xu, Chunguang
2 Zhang, Fan
1 Adams, Nikolaus A.
1 Aizinger, Vadym
1 Almgren, Ann S.
1 Avesani, Diego
1 Baudoin, Fulbert
1 Bell, John B.
1 Bermúdez, Alfredo
1 Besse, Christophe
1 Blanchard, Ghislain
1 Boularas, A.
1 Bourriaud, Alexandre
1 Braeunig, Jean-Philippe
1 Castro-Díaz, Manuel Jesús
1 Castro, Manuel J.
1 Chalons, Christophe
1 Charrier, Dominic Etienne
1 Chassaing, Jean-Camille
1 Choi, Jung-Ju
1 Couceiro, Iván
1 Cueto-Felgueroso, Luis
1 Deligant, Michael
1 Denicolai, Emilie
1 Desveaux, Vivien
1 Dong, Haibo
1 Dong, Qiannan
1 Duan, Zhaowen
1 Efremov, Aleksandr V.
1 Escalante, Cipriano
1 Fernández, E. Guerrero
1 Ferrín, Jose Luis
1 Franci, Alessandro
1 Gabriel, Alice-Agnes
1 Gallice, Gérard
1 Gao, Jinmei
1 Garain, Sudip K.
1 Gastaldo, Laura
1 Giuliani, Andrew
1 Grapsas, Dionysis
1 Gressier, Jérémie
1 Grondin, Gilles
1 Gulizzi, Vincenzo
1 Haidar, Ali
1 Hashimoto, Atsushi
1 He, Zhiwei
...and 79 more Authors

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