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Title: Modeling pore-scale oil-gas systems using gradient theory with peng-robinson equation of state
Authors: Fan, X
Kou, J
Qiao, Z 
Sun, S
Keywords: Convex splitting
Gradient theory
Mixed finite element methods
Peng-robinson equation of State
Issue Date: 2016
Publisher: Elsevier
Source: Procedia computer science, 2016, v. 80, p. 1364-1373 How to cite?
Journal: Procedia computer science 
Abstract: This research addresses a sequential convex splitting method for numerical simulation of multi-component two-phase fluids mixture in a single pore at constant temperature, which is modeled by the gradient theory with the Peng-Robinson equation of state (EoS). The gradient theory of thermodynamics and variational calculus are utilized to obtain a system of chemical equilibrium equations which are transformed into a transient system as a numerical strategy on which the numerical scheme is based. The proposed numerical algorithm avoids computing Hessian matrix arising from the second-order derivative of homogeneous contribution of free energyMergeCell it is also quite robust. This scheme is proved to be unconditionally component-wise energy stable. The Raviart-Thomas mixed finite element method is applied to spatial discretization.
Description: International Conference on Computational Science, ICCS 2016, 6 - 8 June 2016
ISSN: 1877-0509
DOI: 10.1016/j.procs.2016.05.434
Appears in Collections:Conference Paper

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