A domain decomposition method to couple nonisothermal compositional gas liquid Darcy and free gas flows

JOURNAL OF COMPUTATIONAL PHYSICS

卷:368

Article

Birgle, N.¹  Masson, R.¹  Trenty, L.² 

[1] Univ Cote Azur, INRIA, CNRS, Lab JA Dieudonne,Team Coffee, Parc Valrose, F-06108 Nice 02, France

[2] Andra, 1-7 Rue Jean Monnet, F-92290 Chatenay Malabry, France

关键词: Domain decomposition method;    Optimized Schwarz method;    Coupled Darcy and free flows;    Gas liquid Darcy flow;    Free gas flow;    Nonisothermal flows;   

DOI  :  10.1016/j.jcp.2018.04.035

来源: Elsevier

【 摘 要 】

A domain decomposition algorithm is introduced to couple nonisothermal compositional gas liquid Darcy and free gas flow and transport. At each time step, our algorithm solves iteratively the nonlinear system coupling the nonisothermal compositional Darcy flow in the porous medium, the RANS gas flow in the free-flow domain, and the transport of the species and of energy in the free-flow domain. In order to speed up the convergence of the algorithm, the transmission conditions at the interface are replaced by Robin type boundary conditions. The Robin coefficients are obtained from a diagonal approximation of the Dirichlet to Neumann operator related to a simplified model in the neighboring subdomain. The efficiency of our domain decomposition algorithm is assessed on several test cases focusing on the modeling of the mass and energy exchanges at the interface between the geological formation and the ventilation galleries of geological radioactive waste disposal. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free