Fully discretized energy stable schemes for hydrodynamic equations governing two-phase viscous fluid flows
From MaRDI portal
Publication:2399225
DOI10.1007/s10915-016-0224-7zbMath1397.76093OpenAlexW2408542077MaRDI QIDQ2399225
Qi Wang, Yuezheng Gong, Xin-Feng Liu
Publication date: 22 August 2017
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-016-0224-7
Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Other free boundary flows; Hele-Shaw flows (76D27)
Related Items
Linear second order in time energy stable schemes for hydrodynamic models of binary mixtures based on a spatially pseudospectral approximation ⋮ Structure-preserving numerical approximations to a non-isothermal hydrodynamic model of binary fluid flows ⋮ Fully Discrete Second-Order Linear Schemes for Hydrodynamic Phase Field Models of Binary Viscous Fluid Flows with Variable Densities ⋮ Second Order Fully Discrete Energy Stable Methods on Staggered Grids for Hydrodynamic Phase Field Models of Binary Viscous Fluids ⋮ An energy stable algorithm for a quasi-incompressible hydrodynamic phase-field model of viscous fluid mixtures with variable densities and viscosities ⋮ High order integration factor methods for systems with inhomogeneous boundary conditions ⋮ On a new spatial discretization for a regularized 3D compressible isothermal Navier-Stokes-Cahn-Hilliard system of equations with boundary conditions ⋮ Arbitrarily High-Order Unconditionally Energy Stable Schemes for Thermodynamically Consistent Gradient Flow Models ⋮ An unconditionally energy stable method for binary incompressible heat conductive fluids based on the phase-field model
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Semi-discrete energy-stable schemes for a tensor-based hydrodynamic model of nematic liquid crystal flows
- Array-representation integration factor method for high-dimensional systems
- Semi-implicit integration factor methods on sparse grids for high-dimensional systems
- Compact implicit integration factor methods for a family of semilinear fourth-order parabolic equations
- Krylov implicit integration factor methods for spatial discretization on high-dimensional unstructured meshes: application to discontinuous Galerkin methods
- Operator splitting implicit integration factor methods for stiff reaction-diffusion-advection systems
- Energy law preserving \(C^0\) finite element schemes for phase field models in two-phase flow computations
- Exponential time differencing for stiff systems
- Generalized integrating factor methods for stiff PDEs
- Some new structure-preserving algorithms for general multi-symplectic formulations of Hamiltonian PDEs
- Adaptive mesh refinement for hyperbolic partial differential equations
- Two energy conserving numerical schemes for the sine-Gordon equation
- Compact integration factor methods in high spatial dimensions
- Compact integration factor methods for complex domains and adaptive mesh refinement
- Local adaptive mesh refinement for shock hydrodynamics
- Finite-difference solutions of a non-linear Schrödinger equation
- Numerical solution of a nonlinear Klein-Gordon equation
- Mimetic discretizations for Maxwell's equations
- Weighted essentially non-oscillatory schemes
- Efficient implementation of weighted ENO schemes
- Finite difference schemes for \(\frac{\partial u}{\partial t}=(\frac{\partial}{\partial x})^\alpha\frac{\delta G}{\delta u}\) that inherit energy conservation or dissipation property
- A decoupled energy stable scheme for a hydrodynamic phase-field model of mixtures of nematic liquid crystals and viscous fluids
- Preserving energy resp. dissipation in numerical PDEs using the ``Average Vector Field method
- Fast explicit integration factor methods for semilinear parabolic equations
- Analysis and applications of the exponential time differencing schemes and their contour integration modifications
- Energy Stable Numerical Schemes for a Hydrodynamic Model of Nematic Liquid Crystals
- An ETD Crank-Nicolson method for reaction-diffusion systems
- Discrete Variational Derivative Method
- A General Framework for Deriving Integral Preserving Numerical Methods for PDEs
- A Hamiltonian Approximation to Simulate Solitary Waves of the Korteweg-De Vries Equation
- Symplectic Geometric Algorithms for Hamiltonian Systems
- Reciprocal Relations in Irreversible Processes. II.
- Finite Difference Calculus Invariant Structure of a Class of Algorithms for the Nonlinear Klein–Gordon Equation
- Fourth-Order Time-Stepping for Stiff PDEs
- Decoupled Energy Stable Schemes for Phase-Field Models of Two-Phase Complex Fluids
- Numerical methods for Hamiltonian PDEs
- Dissipative or conservative finite-difference schemes for complex-valued nonlinear partial differential equations