Geodesic
Numerical simulations of low Mach compressible two-phase flows: Preliminary assessment of some basic solution techniques
Benjamin Braconnier1 ; Jeu-Jiun Hu2 ; Yang-Yao Niu3 ; Boniface Nkonga4 ; Keh-Ming Shyue5
1 GLAIZER Group innovation agency, France, e-mail: benjamin.braconnier@glaizer.com
2 Department of Information Management, Shu-Te University, Taiwan, e-mail:jjhu@mail.stu.edu.tw
3 Department of Mechanical and Aerospace Engineering, Chung Hua University, Taiwan, e-mail: yyniu@chu.edu.tw
4 Department of Mathematics, University of Nice, France, e-mail: Boniface.Nkonga@unice.fr
5 Department of Mathematics, National Taiwan University, Taiwan, e-mail:shyue@math.ntu.edu.tw, Corresponding author
ESAIM. Proceedings, Tome 28 (2009), pp. 117-134.

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The objective of this paper is to give a preliminary assessment of several existing approaches (compressible or incompressible, preconditioned or not preconditioned) to the numerical simulation of low Mach compressible two-phase flow problems in more than one space dimension. We consider a broken dam problem of Martin and Moyce [Philos. Trans. Roy. Soc. London A, 244(1952), pp. 312-324] and a wave breaking problem of Yasuda et al.  [Costal Engineering, 29(1997), pp. 317-346] as our benchmark tests, where the computed results obtained by using the numerical methods can be compared with the laboratory experiments for the basic solution validations.
DOI : 10.1051/proc/2009042

Benjamin Braconnier 1 ; Jeu-Jiun Hu 2 ; Yang-Yao Niu 3 ; Boniface Nkonga 4 ; Keh-Ming Shyue 5

1 GLAIZER Group innovation agency, France, e-mail: benjamin.braconnier@glaizer.com
2 Department of Information Management, Shu-Te University, Taiwan, e-mail:jjhu@mail.stu.edu.tw
3 Department of Mechanical and Aerospace Engineering, Chung Hua University, Taiwan, e-mail: yyniu@chu.edu.tw
4 Department of Mathematics, University of Nice, France, e-mail: Boniface.Nkonga@unice.fr
5 Department of Mathematics, National Taiwan University, Taiwan, e-mail:shyue@math.ntu.edu.tw, Corresponding author 
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     title = {Numerical simulations of low {Mach} compressible two-phase flows: {Preliminary} assessment of some basic solution techniques},
     journal = {ESAIM. Proceedings},
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Benjamin Braconnier; Jeu-Jiun Hu; Yang-Yao Niu; Boniface Nkonga; Keh-Ming Shyue. Numerical simulations of low Mach compressible two-phase flows: Preliminary assessment of some basic solution techniques. ESAIM. Proceedings, Tome 28 (2009), pp. 117-134. doi : 10.1051/proc/2009042. http://geodesic.mathdoc.fr/articles/10.1051/proc/2009042/

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