An extended quadratic auxiliary variable method for the singular Lennard-Jones droplet liquid film model
DOI10.1016/j.aml.2023.108933zbMath1530.65099OpenAlexW4388821772MaRDI QIDQ6141030
Qi Hong, Shuhan Yao, Yuezheng Gong
Publication date: 2 January 2024
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2023.108933
Lennard-Jones potentialenergy dissipation lawdroplet liquid film modelextended quadratic auxiliary variable method
Thin fluid films (76A20) Error bounds for boundary value problems involving PDEs (65N15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods for boundary value problems involving PDEs (65N06) Liquid-gas two-phase flows, bubbly flows (76T10)
Cites Work
- Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
- The scalar auxiliary variable (SAV) approach for gradient flows
- Supplementary variable method for structure-preserving approximations to partial differential equations with deduced equations
- Thermal-fluid topology optimization with unconditional energy stability and second-order accuracy via phase-field model
- A second-order unconditionally stable method for the anisotropic dendritic crystal growth model with an orientation-field
- A remark on the invariant energy quadratization (IEQ) method for preserving the original energy dissipation laws
- A new Lagrange multiplier approach for gradient flows
- Supplementary variable method for thermodynamically consistent partial differential equations
- Coarsening Rates for a Droplet Model: Rigorous Upper Bounds
- Numerical Analysis of a Continuum Model of Phase Transition
- Structure-Preserving, Energy Stable Numerical Schemes for a Liquid Thin Film Coarsening Model
- A Novel Class of Energy-Preserving Runge-Kutta Methods for the Korteweg-de Vries Equation
- Geometric Integration of ODEs Using Multiple Quadratic Auxiliary Variables
- Geometric Numerical Integration
- Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models
- High-order supplementary variable methods for thermodynamically consistent partial differential equations
- A modified and efficient phase field model for the biological transport network
- Arbitrarily High-Order Energy-Preserving Schemes for the Camassa-Holm Equation Based on the Quadratic Auxiliary Variable Approach
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