NDLI: An energy stable evolution method for simulating two-phase equilibria of multi-component fluids at constant moles, volume and temperature

Content Provider	Springer Nature Link
Author	Wang, Xiuhua Kou, Jisheng Sun, Shuyu
Copyright Year	2016
Abstract	In this paper, we propose an energy-stable evolution method for the calculation of the phase equilibria under given volume, temperature, and moles (VT-flash). An evolution model for describing the dynamics of two-phase fluid system is based on Fick’s law of diffusion for multi-component fluids and the Peng-Robinson equation of state. The mobility is obtained from diffusion coefficients by relating the gradient of chemical potential to the gradient of molar density. The evolution equation for moles of each component is derived using the discretization of diffusion equations, while the volume evolution equation is constructed based on the mechanical mechanism and the Peng-Robinson equation of state. It is proven that the proposed evolution system can well model the VT-flash problem, and moreover, it possesses the property of total energy decay. By using the Euler time scheme to discretize this evolution system, we develop an energy stable algorithm with an adaptive choice strategy of time steps, which allows us to calculate the suitable time step size to guarantee the physical properties of moles and volumes, including positivity, maximum limits, and correct definition of the Helmhotz free energy function. The proposed evolution method is also proven to be energy-stable under the proposed time step choice. Numerical examples are tested to demonstrate efficiency and robustness of the proposed method.
Ending Page	295
Page Count	13
Starting Page	283
File Format	PDF
ISSN	14200597
e-ISSN	15731499
Journal	Computational Geosciences
Issue Number	1
Volume Number	20
Language	English
Publisher	Springer International Publishing
Publisher Date	2016-02-25
Publisher Place	Cham
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Multi-component fluid Earth Sciences Energy stable Hydrogeology VT flash Phase equilibria Adaptive time steps Mobility Geotechnical Engineering & Applied Earth Sciences Mathematical Modeling and Industrial Mathematics Soil Science & Conservation
Content Type	Text
Resource Type	Article
Subject	Computers in Earth Sciences Computational Theory and Mathematics Computer Science Applications Computational Mathematics

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