An energy stable and positivity-preserving computational method for compressible and immiscible two-phase flow in porous media
From MaRDI portal
Publication:6639310
DOI10.1016/j.jcp.2024.113391MaRDI QIDQ6639310
Amgad Salama, Jisheng Kou, Huangxin Chen, Shuyu Sun
Publication date: 15 November 2024
Published in: Journal of Computational Physics (Search for Journal in Brave)
porous mediaenergy stabilitypositivity preservationthermodynamical consistencycompressible and immiscible two-phase flow
Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Variational principles of physics (49S05) Finite volume methods for boundary value problems involving PDEs (65N08)
Cites Work
- Unnamed Item
- A mass-conserved diffuse interface method and its application for incompressible multiphase flows with large density ratio
- On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
- A fully-coupled discontinuous Galerkin method for two-phase flow in porous media with discontinuous capillary pressure
- On the diffuse interface method using a dual-resolution Cartesian grid
- Efficient, adaptive energy stable schemes for the incompressible Cahn-Hilliard Navier-Stokes phase-field models
- Spontaneous shrinkage of drops and mass conservation in phase-field simulations
- A positivity preserving and conservative variational scheme for phase-field modeling of two-phase flows
- A discontinuous Galerkin method for two-phase flow in a porous medium enforcing \(H(\operatorname{div})\) velocity and continuous capillary pressure
- The scalar auxiliary variable (SAV) approach for gradient flows
- A finite element method for degenerate two-phase flow in porous media. I. Well-posedness
- Fully mass-conservative IMPES schemes for incompressible two-phase flow in porous media
- Maximum principle preserving schemes for binary systems with long-range interactions
- Linear energy stable and maximum principle preserving semi-implicit scheme for Allen-Cahn equation with double well potential
- Unconditionally positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations
- Arbitrarily high-order maximum bound preserving schemes with cut-off postprocessing for Allen-Cahn equations
- A maximum bound principle preserving iteration technique for a class of semilinear parabolic equations
- A minimum-type nonlinear complementarity simulator with constrained pressure residual (CPR) methods for wormhole propagation in carbonate acidization
- Positivity-preserving finite volume scheme for compressible two-phase flows in anisotropic porous media: the densities are depending on the physical pressures
- Performance studies of the fixed stress split algorithm for immiscible two-phase flow coupled with linear poromechanics
- A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters
- Robust and stable schemes for time fractional molecular beam epitaxial growth model using SAV approach
- An energy stable linear numerical method for thermodynamically consistent modeling of two-phase incompressible flow in porous media
- Darcy-scale phase equilibrium modeling with gravity and capillarity
- Slightly compressible and immiscible two-phase flow in porous media
- A fully conservative block-centered finite difference method for simulating Darcy-Forchheimer compressible wormhole propagation
- Stabilized energy factorization approach for Allen-Cahn equation with logarithmic Flory-Huggins potential
- Efficient linear schemes with unconditional energy stability for the phase field elastic bending energy model
- Mass conservative and energy stable finite difference methods for the quasi-incompressible Navier-Stokes-Cahn-Hilliard system: primitive variable and projection-type schemes
- Thermodynamically consistent modeling and simulation of multi-component two-phase flow with partial miscibility
- An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation
- A finite element method for degenerate two-phase flow in porous media. II: Convergence
- A new Lagrange multiplier approach for constructing structure preserving schemes. I: Positivity preserving
- Dynamic local coupling for multiphase flow: a compromise between efficiency and stability
- Convergence Analysis of a Second Order Convex Splitting Scheme for the Modified Phase Field Crystal Equation
- THERMODYNAMICALLY CONSISTENT, FRAME INDIFFERENT DIFFUSE INTERFACE MODELS FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH DIFFERENT DENSITIES
- Two-Phase Fluid Simulation Using a Diffuse Interface Model with Peng--Robinson Equation of State
- Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows
- A Componentwise Convex Splitting Scheme for Diffuse Interface Models with Van der Waals and Peng--Robinson Equations of State
- Understanding Non-equilibrium Thermodynamics
- An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
- The Global Dynamics of Discrete Semilinear Parabolic Equations
- Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences
- A Finite Volume Scheme for Two-Phase Immiscible Flow in Porous Media
- Existence Analysis of a Single-Phase Flow Mixture with van der Waals Pressure
- Study of Full Implicit Petroleum Engineering Finite-Volume Scheme for Compressible Two-Phase Flow in Porous Media
- Positivity-Preserving Numerical Schemes for Lubrication-Type Equations
- Stabilized Integrating Factor Runge--Kutta Method and Unconditional Preservation of Maximum Bound Principle
- Exponential Time Differencing Schemes for the Peng-Robinson Equation of State with Preservation of Maximum Bound Principle
- A New Lagrange Multiplier Approach for Constructing Structure Preserving Schemes, II. Bound Preserving
- Energy Stable and Mass Conservative Numerical Method for Gas Flow in Porous Media with Rock Compressibility
- On Linear and Unconditionally Energy Stable Algorithms for Variable Mobility Cahn-Hilliard Type Equation with Logarithmic Flory-Huggins Potential
- A Novel Energy Factorization Approach for the Diffuse-Interface Model with Peng--Robinson Equation of State
- A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
- Computational Methods for Multiphase Flows in Porous Media
- A quasi-incompressible diffuse interface model with phase transition
- Mathematical study of a petroleum-engineering scheme
- An efficient and physically consistent numerical method for the Maxwell–Stefan–Darcy model of two‐phase flow in porous media
- An energy stable, conservative and bounds‐preserving numerical method for thermodynamically consistent modeling of incompressible two‐phase flow in porous media with rock compressibility
- Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential
- Bound-preserving discontinuous Galerkin methods for compressible two-phase flows in porous media
This page was built for publication: An energy stable and positivity-preserving computational method for compressible and immiscible two-phase flow in porous media