# A Novel Energy Factorization Approach for the Diffuse-Interface Model with Peng-Robinson Equation of State

@article{Kou2020ANE, title={A Novel Energy Factorization Approach for the Diffuse-Interface Model with Peng-Robinson Equation of State}, author={Jisheng Kou and S. Sun and Xiuhua Wang}, journal={SIAM J. Sci. Comput.}, year={2020}, volume={42}, pages={B30-B56} }

The Peng-Robinson equation of state (PR-EoS) has become one of the most extensively applied equations of state in chemical engineering and petroleum industry due to its excellent accuracy in predicting the thermodynamic properties of a wide variety of materials, especially hydrocarbons. Although great efforts have been made to construct efficient numerical methods for the diffuse interface models with PR-EoS, there is still not a linear numerical scheme that can be proved to preserve the… Expand

#### Figures, Tables, and Topics from this paper

#### 11 Citations

Stabilized Energy Factorization Approach for Allen–Cahn Equation with Logarithmic Flory–Huggins Potential

- Mathematics, Computer Science
- J. Sci. Comput.
- 2020

Unconditionally stable, efficient and robust numerical simulation of isothermal compositional grading by gravity

- Computer Science
- J. Comput. Sci.
- 2020

Nonlinearly preconditioned constraint-preserving algorithms for subsurface three-phase flow with capillarity

- Computer Science
- 2020

A new physics-preserving IMPES scheme for incompressible and immiscible two-phase flow in heterogeneous porous media

- Computer Science, Mathematics
- J. Comput. Appl. Math.
- 2021

Thermodynamically consistent modeling of two-phase incompressible flows in heterogeneous and fractured media

- Materials Science
- 2020

Accelerating flash calculations in unconventional reservoirs considering capillary pressure using an optimized deep learning algorithm

- Computer Science
- 2020

#### References

SHOWING 1-10 OF 38 REFERENCES

Unconditionally Energy Stable Linear Schemes for the Diffuse Interface Model with Peng–Robinson Equation of State

- Mathematics, Computer Science
- J. Sci. Comput.
- 2018

A Componentwise Convex Splitting Scheme for Diffuse Interface Models with Van der Waals and Peng-Robinson Equations of State

- Computer Science, Mathematics
- SIAM J. Sci. Comput.
- 2017

Thermodynamically consistent simulation of nonisothermal diffuse-interface two-phase flow with Peng-Robinson equation of state

- Physics, Mathematics
- J. Comput. Phys.
- 2018

Two-Phase Fluid Simulation Using a Diffuse Interface Model with Peng-Robinson Equation of State

- Computer Science, Mathematics
- SIAM J. Sci. Comput.
- 2014

Thermodynamically consistent modeling and simulation of multi-component two-phase flow with partial miscibility

- Physics, Mathematics
- 2016

Unconditionally stable methods for simulating multi-component two-phase interface models with Peng-Robinson equation of state and various boundary conditions

- Computer Science, Mathematics
- J. Comput. Appl. Math.
- 2016

Linearly Decoupled Energy-Stable Numerical Methods for Multicomponent Two-Phase Compressible Flow

- Mathematics, Computer Science
- SIAM J. Numer. Anal.
- 2018

A Convex-Splitting Scheme for a Diffuse Interface Model with Peng-Robinson Equation of State

- Mathematics
- 2017

Decoupled, energy stable schemes for a phase-field surfactant model

- Computer Science, Mathematics
- Comput. Phys. Commun.
- 2018