Simulation of multiphase porous media flows with minimising movement and finite volume schemes
2018 ◽
Vol 30
(6)
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pp. 1123-1152
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Keyword(s):
The Wasserstein gradient flow structure of the partial differential equation system governing multiphase flows in porous media was recently highlighted in Cancès et al. [Anal. PDE10(8), 1845–1876]. The model can thus be approximated by means of the minimising movement (or JKO after Jordan, Kinderlehrer and Otto [SIAM J. Math. Anal.29(1), 1–17]) scheme that we solve thanks to the ALG2-JKO scheme proposed in Benamou et al. [ESAIM Proc. Surv.57, 1–17]. The numerical results are compared to a classical upstream mobility finite volume scheme, for which strong stability properties can be established.
1978 ◽
Keyword(s):
2012 ◽
Vol 95
(2)
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pp. 349-371
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2007 ◽
Vol 45
(5)
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pp. 2228-2258
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Keyword(s):
2014 ◽
Vol 75
(7)
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pp. 487-518
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Keyword(s):
2017 ◽
Vol 115
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pp. 1192-1202
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Keyword(s):
2007 ◽
Vol 31
(7)
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pp. 604-613
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Keyword(s):