A sharp interface method for incompressible two-phase flows

DOI10.1016/j.jcp.2006.06.020zbMath1194.76219OpenAlexW2155678534MaRDI QIDQ870561

Mark Sussman, Mitsuhiro Ohta, Zhi-Wei Ren, M. Yousuff Hussaini, Kayne Marie Smith

Publication date: 13 March 2007

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2006.06.020

zbMATH Keywords

numerical methodsincompressible flowmultiphase flowsNavier--Stokes equationsimmiscible fluids

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Multiphase and multicomponent flows (76T99) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

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Uses Software

• PROST

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A surface marker algorithm coupled to an area-preserving marker redistribution method for three-dimensional interface tracking
• Curvature and solidification
• Modeling three-dimensional multiphase flow using a level contour reconstruction method for front tracking without connectivity
• Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
• A continuum method for modeling surface tension
• A front-tracking method for viscous, incompressible multi-fluid flows
• A second-order projection method for variable-density flows
• An adaptive level set approach for incompressible two-phase flows
• A numerical method for solving incompressible flow problems with a surface of discontinuity
• A conservative adaptive projection method for the variable density incompressible Navier-Stokes equations
• Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows
• Tree methods for moving interfaces
• A level set approach for computing solutions to incompressible two-phase flow
• A mixed markers and volume-of-fluid method for the reconstruction and advection of interfaces in two-phase and free-boundary flows.
• A discontinuous spectral element method for the level set equation
• A coupled level set and volume-of-fluid method for computing 3D and axisymmetric incompressible two-phase flows
• A second-order-accurate symmetric discretization of the Poisson equation on irregular domains
• Numerical simulation of free surface incompressible liquid flows surrounded by compressible gas
• A second-order projection method for the incompressible Navier-Stokes equations
• A computational method for determining curvatures
• A hybrid particle level set method for improved interface capturing
• PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method.
• A second order coupled level set and volume-of-fluid method for computing growth and collapse of vapor bubbles.
• Second-order accurate volume-of-fluid algorithms for tracking material interfaces
• High-order surface tension VOF-model for 3D bubble flows with high density ratio
• On the stability of Godunov-projection methods for incompressible flow
• A level set formulation of Eulerian interface capturing methods for incompressible fluid flows
• Dissipation of energy by finite-amplitude surface waves
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• A second-order boundary-fitted projection method for free-surface flow computations
• A balanced-force algorithm for continuous and sharp interfacial surface tension models within a volume tracking framework
• An adaptive coupled level-set/volume-of-fluid interface capturing method for unstructured triangular grids
• Sharp interface Cartesian grid method. II: A technique for simulating droplet interactions with surfaces of arbitrary shape
• A Lagrangian particle level set method
• A quadrature-free discontinuous Galerkin method for the level set equation
• Numerical solution of free-boundary problems in fluid mechanics. Part 2. Buoyancy-driven motion of a gas bubble through a quiescent liquid
• Spherical cap bubbles and skirt formation
• A volume-tracking method for incompressible multifluid flows with large density variations
• Interface reconstruction with least-square fit and split Eulerian-Lagrangian advection
• On the Construction and Comparison of Difference Schemes
• A boundary condition capturing method for multiphase incompressible flow.
• A boundary condition capturing method for incompressible flame discontinuities.
• A fixed-grid, sharp-interface method for bubble dymamics and phase change.