Numerical study of phase transition in van der Waals fluid

DOI10.3934/dcdsb.2018174zbMath1404.76263OpenAlexW2805050912WikidataQ129606753 ScholiaQ129606753MaRDI QIDQ1756894

Chang Liu, Qiao-lin He, Xiao-ding Shi

Publication date: 27 December 2018

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2018174

zbMATH Keywords

conservation lawsphase transitionrelaxation schemevan der Waals

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Liquid-gas two-phase flows, bubbly flows (76T10) Numerical integration (65D30)

Related Items (3)

The asymptotic stability of phase separation states for compressible immiscible two-phase flow in 3D ⋮ Energy stable discontinuous Galerkin method for compressible Navier-Stokes-Allen-Cahn system ⋮ Navier-Stokes/Allen-Cahn system with generalized Navier boundary condition

Cites Work

• Unnamed Item
• Structured phase transitions on a finite interval
• Slow motion for the Cahn-Hilliard equation in one space dimension
• A numerical method for systems of conservation laws of mixed type admitting hyperbolic flux splitting
• Metastable patterns for the Cahn-Hilliard equation. II: Layer dynamics and slow invariant manifold
• Phase transitions in a coupled viscoelastic system with periodic initial-boundary condition. I: existence and uniform boundedness
• Phase transitions in a coupled viscoelastic system with periodic initial-boundary condition. II: convergence
• The Dynamics of Nucleation for the Cahn–Hilliard Equation
• Front migration in the nonlinear Cahn-Hilliard equation
• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
• On the slowness of phase boundary motion in one space dimension
• Phase Transition in Van der Waals Fluid
• The relaxation schemes for systems of conservation laws in arbitrary space dimensions
• A Model Numerical Scheme for the Propagation of phase Transitions in Solids
• A Numerical Study of Riemann Problem Solutions and Stability for a System of Viscous Conservation Laws of Mixed Type
• Stability of Coexisting Phases for Compressible Van Der Waals Fluids
• Phase Transitions in a Relaxation Model of Mixed Type with Periodic Boundary Condition

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