SAV Finite Element Method for the Peng-Robinson Equation of State with Dynamic Boundary Conditions

DOI10.4208/aamm.OA-2021-0216OpenAlexW4307260423MaRDI QIDQ5045690

Changhui Yao, Zhaoyue du, Lei Yang

Publication date: 7 November 2022

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/aamm.oa-2021-0216

zbMATH Keywords

error estimatesfinite element methoddynamic boundary conditionsPeng-Robinson equation of statescalar auxiliary variable

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for higher-order parabolic equations (35K35) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Cites Work

• Unnamed Item
• Unnamed Item
• Passing from bulk to bulk-surface evolution in the Allen-Cahn equation
• Unconditionally stable methods for simulating multi-component two-phase interface models with Peng-Robinson equation of state and various boundary conditions
• A Cahn-Hilliard model in a domain with non-permeable walls
• Energy stable higher-order linear ETD multi-step methods for gradient flows: application to thin film epitaxy
• Unconditionally energy stable linear schemes for the diffuse interface model with Peng-Robinson equation of state
• Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model
• The scalar auxiliary variable (SAV) approach for gradient flows
• Numerical approximations for the Cahn-Hilliard phase field model of the binary fluid-surfactant system
• A novel lattice Boltzmann model for fourth order nonlinear partial differential equations
• An energy stable finite element scheme for the three-component Cahn-Hilliard-type model for macromolecular microsphere composite hydrogels
• Parallel multilevel restricted Schwarz preconditioners for implicit simulation of subsurface flows with Peng-Robinson equation of state
• A positive and energy stable numerical scheme for the Poisson-Nernst-Planck-Cahn-Hilliard equations with steric interactions
• Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic equations
• A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters
• A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance
• Stabilized exponential-SAV schemes preserving energy dissipation law and maximum bound principle for the Allen-Cahn type equations
• A positivity-preserving, energy stable and convergent numerical scheme for the Cahn-Hilliard equation with a Flory-Huggins-deGennes energy
• Convergence to equilibrium for the Cahn-Hilliard equation with a logarithmic free energy
• Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy
• Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows
• Structure-Preserving, Energy Stable Numerical Schemes for a Liquid Thin Film Coarsening Model
• Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes
• A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system
• A positivity-preserving and convergent numerical scheme for the binary fluid-surfactant system
• Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows
• A Highly Efficient and Accurate New Scalar Auxiliary Variable Approach for Gradient Flows
• A New Multi-Component Diffuse Interface Model with Peng-Robinson Equation of State and its Scalar Auxiliary Variable (SAV) Approach
• A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters
• A Novel Energy Factorization Approach for the Diffuse-Interface Model with Peng--Robinson Equation of State
• Weak Solutions of the Cahn--Hilliard System with Dynamic Boundary Conditions: A Gradient Flow Approach
• A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
• Phase Transition Dynamics

This page was built for publication: SAV Finite Element Method for the Peng-Robinson Equation of State with Dynamic Boundary Conditions