A projection-based, semi-implicit time-stepping approach for the Cahn-Hilliard Navier-Stokes equations on adaptive octree meshes

Direct numerical simulation of electrokinetic transport phenomena in fluids: variational multi-scale stabilization and octree-based mesh refinement ⋮ Derivation and simulation of a two-phase fluid deformable surface model ⋮ Second-order rotational velocity correction projection finite element method for unsteady MHD coupled heat equation

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A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation
On imposing dynamic contact-angle boundary conditions for wall-bounded liquid-gas flows
A review of variational multiscale methods for the simulation of turbulent incompressible flows
Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flows
Efficient, adaptive energy stable schemes for the incompressible Cahn-Hilliard Navier-Stokes phase-field models
Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements
Computation of multiphase systems with phase field models.
Conservative multigrid methods for Cahn--Hilliard fluids.
Incompressible two-phase flow: diffuse interface approach for large density ratios, grid resolution study, and 3D patterned substrate wetting problem
A free energy-based surface tension force model for simulation of multiphase flows by level-set method
The scalar auxiliary variable (SAV) approach for gradient flows
Numerical study for the three-dimensional Rayleigh-Taylor instability through the TVD/AC scheme and parallel computation
Large-scale simulation of elastic wave propagation in heterogeneous media on parallel computers
An octree-based immersogeometric approach for modeling inertial migration of particles in channels
A conservative diffuse-interface method for compressible two-phase flows
Simulating two-phase flows with thermodynamically consistent energy stable Cahn-Hilliard Navier-Stokes equations on parallel adaptive octree based meshes
Consistent, energy-conserving momentum transport for simulations of two-phase flows using the phase field equations
Sharp interface approaches and deep learning techniques for multiphase flows
Unified adaptive variational multiscale method for two phase compressible-incompressible flows
Mass conservative and energy stable finite difference methods for the quasi-incompressible Navier-Stokes-Cahn-Hilliard system: primitive variable and projection-type schemes
Efficient energy-stable schemes for the hydrodynamics coupled phase-field model
An overview of projection methods for incompressible flows
Wall-bounded multiphase flows of \(N\) immiscible incompressible fluids: consistency and contact-angle boundary condition
Solution of high-Reynolds incompressible flow with stabilized finite element and adaptive anisotropic meshing
Data-driven surrogate modeling of multiphase flows using machine learning techniques
Finite Element Methods for Incompressible Flow Problems
THERMODYNAMICALLY CONSISTENT, FRAME INDIFFERENT DIFFUSE INTERFACE MODELS FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH DIFFERENT DENSITIES
Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows
p4est: Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees
A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities
Machine Learning for Fluid Mechanics
Bottom-Up Construction and 2:1 Balance Refinement of Linear Octrees in Parallel
A thermodynamically consistent phase-field model for two-phase flows with thermocapillary effects
Quantitative benchmark computations of two-dimensional bubble dynamics
Experimental study of Rayleigh–Taylor instability: Low Atwood number liquid systems with single-mode initial perturbations
Contact-line dynamics of a diffuse fluid interface
Diffuse-interface two-phase flow models with different densities: A new quasi-incompressible form and a linear energy-stable method
Massively Parallel Simulations of Binary Black Hole Intermediate-Mass-Ratio Inspirals
A diffuse-interface method for simulating two-phase flows of complex fluids
PARALLEL CONSTRUCTION OF QUADTREES AND QUALITY TRIANGULATIONS
DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
Variational Multiscale Analysis: the Fine‐scale Green’s Function, Projection, Optimization, Localization, and Stabilized Methods
The sharp-interface limit of the Cahn–Hilliard/Navier–Stokes model for binary fluids
A projection FEM for variable-density incompressible flows
Large eddy simulation and the variational multiscale method
A fully-coupled framework for solving Cahn-Hilliard Navier-Stokes equations: second-order, energy-stable numerical methods on adaptive octree based meshes