A consistent and conservative phase-field method for compressible \(N\)-phase flows: \textit{consistent limiter} and \textit{multiphase reduction-consistent formulation}

Basic methods in fluid mechanics (76Mxx) Multiphase and multicomponent flows (76Txx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)

Cites Work

Unnamed Item
Unnamed Item
A diffuse interface model with immiscibility preservation
A numerical method for the quasi-incompressible Cahn-Hilliard-Navier-Stokes equations for variable density flows with a discrete energy law
A new limiting procedure for discontinuous Galerkin methods applied to compressible multiphase flows with shocks and interfaces
A conservative phase field method for solving incompressible two-phase flows
Uniformly high order accurate essentially non-oscillatory schemes. III. (Reprint)
A mass and momentum conserving unsplit semi-Lagrangian framework for simulating multiphase flows
Finite-volume WENO schemes for three-dimensional conservation laws
Simulation of sharp interface multi-material flows involving an arbitrary number of components through an extended five-equation model
Finite-volume WENO scheme for viscous compressible multicomponent flows
Implementation of WENO schemes in compressible multicomponent flow problems
On Godunov-type methods near low densities
On maximum-principle-satisfying high order schemes for scalar conservation laws
Simple and efficient relaxation methods for interfaces separating compressible fluids, cavitating flows and shocks in multiphase mixtures
Numerical transport of an arbitrary number of components
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
Volume of fluid (VOF) method for the dynamics of free boundaries
A front-tracking method for viscous, incompressible multi-fluid flows
A level set approach for computing solutions to incompressible two-phase flow
Restoration of the contact surface in the HLL-Riemann solver
Some models and Eulerian methods for interface problems between compressible fluids with heat transfer
Multiphase flows of \(N\) immiscible incompressible fluids: a reduction-consistent and thermodynamically-consistent formulation and associated algorithm
A positivity preserving and conservative variational scheme for phase-field modeling of two-phase flows
A model and numerical method for compressible flows with capillary effects
A review of level-set methods and some recent applications
Modelling evaporation fronts with reactive Riemann solvers
Calculation of two-phase Navier-Stokes flows using phase-field modeling
A five-equation model for the simulation of interfaces between compressible fluids
How to prevent pressure oscillations in multicomponent flow calculations: A quasi conservative approach
Efficient implementation of weighted ENO schemes
Implementing contact angle boundary conditions for second-order phase-field models of wall-bounded multiphase flows
A consistent and conservative model and its scheme for \(N\)-phase-\(M\)-component incompressible flows
A conservative diffuse-interface method for compressible two-phase flows
Consistent and conservative scheme for incompressible two-phase flows using the conservative Allen-Cahn model
A consistent and conservative phase-field model for thermo-gas-liquid-solid flows including liquid-solid phase change
A mixed upwind/central WENO scheme for incompressible two-phase flows
An assessment of multicomponent flow models and interface capturing schemes for spherical bubble dynamics
Consistent, essentially conservative and balanced-force phase-field method to model incompressible two-phase flows
Maintaining interface equilibrium conditions in compressible multiphase flows using interface capturing
Diffuse interface model for incompressible two-phase flows with large density ratios
A compressible flow model with capillary effects
An interface capturing method for the simulation of multi-phase compressible flows
A consistent and conservative phase-field method for multiphase incompressible flows
Strong Stability-Preserving High-Order Time Discretization Methods
Hierarchy of consistent n-component Cahn–Hilliard systems
A modified phase field approximation for mean curvature flow with conservation of the volume
Modelling phase transition in metastable liquids: application to cavitating and flashing flows
Two-phase modeling of deflagration-to-detonation transition in granular materials: Reduced equations
A two-phase mixture theory for the deflagration-to-detonation transition (ddt) in reactive granular materials
Total-Variation-Diminishing Time Discretizations
The artificial compression method for computation of shocks and contact discontinuities. I. Single conservation laws
The Artificial Compression Method for Computation of Shocks and Contact Discontinuities: III. Self-Adjusting Hybrid Schemes
Quasi–incompressible Cahn–Hilliard fluids and topological transitions
Total variation diminishing Runge-Kutta schemes
On the Choice of Wavespeeds for the HLLC Riemann Solver
L<scp>EVEL</scp> S<scp>ET</scp> M<scp>ETHODS FOR</scp> F<scp>LUID</scp> I<scp>NTERFACES</scp>
Finite Volume Methods for Hyperbolic Problems
Phase-Field Models for Multi-Component Fluid Flows
Diffuse-Interface Capturing Methods for Compressible Two-Phase Flows
A diffuse-interface method for simulating two-phase flows of complex fluids
A Simple Method for Compressible Multifluid Flows
Free Energy of a Nonuniform System. I. Interfacial Free Energy
Hydrodynamic instabilities of two successive slow/fast interfaces induced by a weak shock
Essentially non-oscillatory and weighted essentially non-oscillatory schemes
A front-tracking method for the computations of multiphase flow.
Preventing numerical errors generated by interface-capturing schemes in compressible multi-material flows
A consistent and conservative phase-field method for compressible multiphase flows with shocks

This page was built for publication: A consistent and conservative phase-field method for compressible \(N\)-phase flows: \textit{consistent limiter} and \textit{multiphase reduction-consistent formulation}