A level set based sharp interface method for the multiphase incompressible Navier --- Stokes equations with phase change

DOI10.1016/j.jcp.2006.07.035zbMath1158.76403OpenAlexW1994140445MaRDI QIDQ876011

N. E. Zubov

Publication date: 16 April 2007

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2006.07.035

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stefan problems, phase changes, etc. (80A22) Multiphase and multicomponent flows (76T99)

Related Items

Fluid-structure interaction of thin flexible bodies in multi-material multi-phase systems, A phase-field method for boiling heat transfer, A volume-of-fluid method for interface-resolved simulations of phase-changing two-fluid flows, Direct numerical simulation of incompressible multiphase flow with vaporization using moving particle semi-implicit method, A geometric VOF method for interface resolved phase change and conservative thermal energy advection, Phase-change modeling based on a novel conservative phase-field method, Numerical simulation of boiling on unstructured grids, Boiling and evaporation model for liquid-gas flows: a sharp and conservative method based on the geometrical VOF approach, A parallel cell-centered adaptive level set framework for efficient simulation of two-phase flows with subcycling and non-subcycling, A level-set based space-time finite element approach to the modelling of solidification and melting processes, A depletable micro-layer model for nucleate pool boiling, A time splitting projection scheme for compressible two-phase flows. application to the interaction of bubbles with ultrasound waves, A ghost fluid/level set method for boiling flows and liquid evaporation: application to the leidenfrost effect, Sharp interface immersed-boundary/level-set method for wave-body interactions, Imposing mixed Dirichlet-Neumann-Robin boundary conditions in a level-set framework, Numerical simulation of nucleate boiling in shallow liquid, Numerical simulation of pressure-driven phase-change in two-phase fluid flows using the lattice Boltzmann method, Rayleigh–Bénard convection with a melting boundary, Benchmarks and numerical methods for the simulation of boiling flows, An immersed boundary method for mass transfer across permeable moving interfaces, Topology preserving advection of implicit interfaces on Cartesian grids, A hybrid inference system for improved curvature estimation in the level-set method using machine learning, Error-correcting neural networks for two-dimensional curvature computation in the level-set method, High order solution of Poisson problems with piecewise constant coefficients and interface jumps, Guidelines for Poisson solvers on irregular domains with Dirichlet boundary conditions using the ghost fluid method, An extended model for the direct numerical simulation of droplet evaporation. Influence of the Marangoni convection on leidenfrost droplet, A Riemann problem based method for solving compressible and incompressible flows, A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems, An interface-resolved phase-change model based on velocity decomposition, On the coupling between direct numerical simulation of nucleate boiling and a micro-region model at the contact line, A compressible solver for two phase-flows with phase change for bubble cavitation, A front tracking method for direct numerical simulation of evaporation process in a multiphase system, Direct numerical simulation of incompressible multiphase flow with phase change, A computational framework for interface-resolved DNS of simultaneous atomization, evaporation and combustion, Ghost-Fluid-Based Sharp Interface Methods for Multi-Material Dynamics: A Review, Conservative formulations for heat transfer simulation with sharp interfaces and discontinuous properties in two-phase flows, A consistent volume-of-fluid approach for direct numerical simulation of the aerodynamic breakup of a vaporizing drop, A consistent adaptive level set framework for incompressible two-phase flows with high density ratios and high Reynolds numbers, Machine learning algorithms for three-dimensional mean-curvature computation in the level-set method, A level set method for vapor bubble dynamics, High resolution sharp computational methods for elliptic and parabolic problems in complex geometries, The extended discontinuous Galerkin method for two-phase flows with evaporation, A review of level-set methods and some recent applications, Gradient augmented level set method for phase change simulations, Interface conditions for limits of the Navier-Stokes-Korteweg model, Manifold method coupled velocity and pressure for Navier-Stokes equations and direct numerical solution of unsteady incompressible viscous flow, Modeling droplets with slippery interfaces, Sharp interface approaches and deep learning techniques for multiphase flows, PDE-Based Multidimensional Extrapolation of Scalar Fields over Interfaces with Kinks and High Curvatures, A new method for the level set equation using a hierarchical-gradient truncation and remapping technique, Direct numerical simulation of evaporating droplets, A correction function method for Poisson problems with interface jump conditions, Vaporization of liquid droplet with large deformation and high mass transfer rate. I: Constant-density, constant-property case, Numerical simulation of nucleate boiling on a horizontal surface at high heat fluxes, Vaporization of liquid droplet with large deformation and high mass transfer rate. II: Variable-density, variable-property case, Imposing jump conditions on nonconforming interfaces for the correction function method: a least squares approach, A volume of fluid framework for interface-resolved simulations of vaporizing liquid-gas flows, A finite difference discretization method for heat and mass transfer with Robin boundary conditions on irregular domains, Adaptive Eulerian framework for boiling and evaporation, A sharp-interface method for the simulation of shock-induced vaporization of droplets, Fluids-membrane interaction with a full Eulerian approach based on the level set method, Evaporation model for interfacial flows based on a continuum-field representation of the source terms, Topography generation by melting and freezing in a turbulent shear flow, Segmentation of stochastic images using level set propagation with uncertain speed, Direct numerical simulations of incompressible multiphase magnetohydrodynamics with phase change, Direct numerical simulation of a bubble motion in a spherical tank under external forces and microgravity conditions, Direct numerical simulation of interphase heat and mass transfer in multicomponent vapour-liquid flows, On two-phase flow solvers in irregular domains with contact line, Direct simulation of drying colloidal suspension on substrate using immersed free surface model, The electric field effect on the droplet collision with a heated surface in the Leidenfrost regime, Level set method for computational multi-fluid dynamics: a review on developments, applications and analysis, Sharp interface models for two-phase flows: insights towards new approaches, Numerical simulation of premixed combustion using an enriched finite element method, Solving Poisson-type equations with Robin boundary conditions on piecewise smooth interfaces, xGFM: recovering convergence of fluxes in the ghost fluid method, Consistency and accuracy in the simulation of two-phase flows with phase change using sharp interface capturing methods, A sharp-interface active penalty method for the incompressible Navier-Stokes equations, Fluid dynamics of frozen precipitation at the air–water interface, A meshfree point collocation method for elliptic interface problems, Effect of phase change on jet atomization: a direct numerical simulation study, A novel supermesh method for computing solutions to the multi-material Stefan problem with complex deforming interfaces and microstructure, Numerical analysis of a finite element approximation to a level set model for free-surface flows, Numerical simulation of two-phase flows with heat and mass transfer

Cites Work

• A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
• A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
• A level set approach for computing solutions to incompressible two-phase flow
• A partial differential equation approach to multidimensional extrapolation.
• A volume of fluid based method for fluid flows with phase change
• A second-order-accurate symmetric discretization of the Poisson equation on irregular domains
• Stability of approximate projection methods on cell-centered grids
• A hybrid particle level set method for improved interface capturing
• Local simulation of two-phase flows including interface tracking with mass transfer
• A boundary condition capturing method for Poisson's equation on irregular domains
• A numerical method for solving incompressible viscous flow problems
• Introduction to Hydrodynamic Stability
• Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
• Numerical simulation of bubble growth in film boiling using a coupled level-set and volume-of-fluid method
• Computations of boiling flows
• Weighted ENO Schemes for Hamilton--Jacobi Equations
• A numerical method for two-phase flow consisting of separate compressible and incompressible regions
• Accurate projection methods for the incompressible Navier-Stokes equations
• A boundary condition capturing method for multiphase incompressible flow.
• A boundary condition capturing method for incompressible flame discontinuities.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item