Physical formulation and numerical algorithm for simulating \(N\) immiscible incompressible fluids involving general order parameters
From MaRDI portal
Publication:728916
DOI10.1016/j.jcp.2014.11.039zbMath1351.76234arXiv1408.3660OpenAlexW2086473315MaRDI QIDQ728916
Publication date: 20 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.3660
multiphase flowphase field\(N\)-phase flowlarge density contrastpairwise surface tensionsgeneral order parameters
Particle methods and lattice-gas methods (76M28) Three or more component flows (76T30) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items
A consistent and conservative model and its scheme for \(N\)-phase-\(M\)-component incompressible flows, A conservative level set method for \(N\)-phase flows with a free-energy-based surface tension model, Multiphase flows of \(N\) immiscible incompressible fluids: a reduction-consistent and thermodynamically-consistent formulation and associated algorithm, A novel sharp interface capturing method for two- and three-phase incompressible flows, A consistent and conservative phase-field method for multiphase incompressible flows, A method for computing inverse parametric PDE problems with random-weight neural networks, Wall-bounded multiphase flows of \(N\) immiscible incompressible fluids: consistency and contact-angle boundary condition, Multiphase Allen-Cahn and Cahn-Hilliard models and their discretizations with the effect of pairwise surface tensions, Multiphase flows of \(N\) immiscible incompressible fluids: an outflow/open boundary condition and algorithm, An unconditionally energy-stable scheme based on an implicit auxiliary energy variable for incompressible two-phase flows with different densities involving only precomputable coefficient matrices, Consistent, essentially conservative and balanced-force phase-field method to model incompressible two-phase flows, Thermodynamically consistent phase-field modelling of contact angle hysteresis, Phase field modelling of surfactants in multi-phase flow, Fitted front tracking methods for two-phase incompressible Navier--Stokes flow: Eulerian and ALE finite element discretizations
Cites Work
- A robust and accurate outflow boundary condition for incompressible flow simulations on severely-truncated unbounded domains
- An efficient algorithm for incompressible \(N\)-phase flows
- A time-stepping scheme involving constant coefficient matrices for phase-field simulations of two-phase incompressible flows with large density ratios
- An outflow boundary condition and algorithm for incompressible two-phase flows with phase field approach
- An eigen-based high-order expansion basis for structured spectral elements
- Surface tension of multi-phase flow with multiple junctions governed by the variational principle
- On imposing dynamic contact-angle boundary conditions for wall-bounded liquid-gas flows
- Hierarchical X-FEM for \(n\)-phase flow \((n > 2)\)
- A generalized continuous surface tension force formulation for phase-field models for multi-component immiscible fluid flows
- On the development and generalizations of Cahn-Hilliard equations within a thermodynamic framework
- Unified field theory and principle of representation invariance
- An efficient and accurate numerical algorithm for the vector-valued Allen-Cahn equations
- Conservative multigrid methods for ternary Cahn-Hilliard systems
- Implicit tracking for multi-fluid simulations
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- A front-tracking method for viscous, incompressible multi-fluid flows
- Motion of multiple junctions: A level set approach
- A triangular spectral element method; applications to the incompressible Navier-Stokes equations.
- A projection method for motion of triple junctions by level sets.
- Buoyancy-driven mixing of multi-component fluids in two-dimensional tilted channels
- Calculation of two-phase Navier-Stokes flows using phase-field modeling
- A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method
- A variational level set approach to multiphase motion
- Phase field modeling and simulation of three-phase flows
- An overview of projection methods for incompressible flows
- An unconditionally stable rotational velocity-correction scheme for incompressible flows
- Numerical schemes for a three component Cahn-Hilliard model
- Inertial dynamics of air bubbles crossing a horizontal fluid–fluid interface
- THERMODYNAMICALLY CONSISTENT, FRAME INDIFFERENT DIFFUSE INTERFACE MODELS FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH DIFFERENT DENSITIES
- Study of a three component Cahn-Hilliard flow model
- Quasi–incompressible Cahn–Hilliard fluids and topological transitions
- Active contours without edges
- Velocity-Correction Projection Methods for Incompressible Flows
- L<scp>EVEL</scp> S<scp>ET</scp> M<scp>ETHODS FOR</scp> F<scp>LUID</scp> I<scp>NTERFACES</scp>
- Phase-Field Models for Multi-Component Fluid Flows
- A diffuse-interface method for simulating two-phase flows of complex fluids
- DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
- The Voronoi Implicit Interface Method for computing multiphase physics
- The sharp-interface limit of the Cahn–Hilliard/Navier–Stokes model for binary fluids
- Spectral/hp Element Methods for Computational Fluid Dynamics
- A projection FEM for variable-density incompressible flows
- A front-tracking method for the computations of multiphase flow.
