Three-dimensional volume-conserving immersed boundary model for two-phase fluid flows

DOI10.1016/j.cma.2013.01.009zbMath1286.76031OpenAlexW2170389357MaRDI QIDQ2449883

Darae Jeong, Jaemin Shin, Junseok Kim, Yibao Li, Dongsun Lee, Ana Yun

Publication date: 13 May 2014

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2013.01.009

zbMATH Keywords

multigrid methodfinite differencetwo-phase fluid flowimmersed boundary methodvolume-preserving

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Multiphase and multicomponent flows (76T99) Finite difference methods applied to problems in fluid mechanics (76M20) Fictitious domain methods for initial value and initial-boundary value problems involving PDEs (65M85)

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Uses Software

• Qhull
• DistMesh

Cites Work

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• Three-dimensional simulation of elastic capsules in shear flow by the penalty immersed boundary method
• An improved penalty immersed boundary method for fluid-flexible body interaction
• A generalized continuous surface tension force formulation for phase-field models for multi-component immiscible fluid flows
• A high-order projection method for tracking fluid interfaces in variable density incompressible flows
• Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method
• Unconditionally stable discretizations of the immersed boundary equations
• On the hyperelastic formulation of the immersed boundary method
• Simulation of elastic filaments interacting with a viscous pulsatile flow
• On spurious velocities in incompressible flow problems with interfaces
• A continuum method for modeling surface tension
• A front-tracking method for viscous, incompressible multi-fluid flows
• Improved volume conservation in the computation of flows with immersed elastic boundaries
• Numerical analysis of blood flow in the heart
• A level set approach for computing solutions to incompressible two-phase flow
• A ghost-cell immersed boundary method for flow in complex geometry.
• An immersed boundary method with formal second-order accuracy and reduced numerical viscosity
• Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations
• A continuous surface tension force formulation for diffuse-interface models
• An adaptive version of the immersed boundary method
• A lattice Boltzmann method for incompressible two-phase flows with large density differences
• Second-order accurate volume-of-fluid algorithms for tracking material interfaces
• A level set formulation of Eulerian interface capturing methods for incompressible fluid flows
• Local mass conservation of Stokes finite elements
• An immersed interface method for simulating the interaction of a fluid with moving boundaries
• A conservative level set method for two phase flow
• Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
• The immersed boundary method
• Curvatures of Smooth and Discrete Surfaces
• Numerical simulation of breakup of a viscous drop in simple shear flow through a volume-of-fluid method
• Discrete laplace operator on meshed surfaces
• The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
• The quickhull algorithm for convex hulls
• A Simple Mesh Generator in MATLAB
• Multigrid computations with the immersed boundary technique for multiphase flows
• LATTICE BOLTZMANN METHOD FOR FLUID FLOWS
• Volume preserving immersed boundary methods for two‐phase fluid flows
• An adaptive front tracking technique for three-dimensional transient flows
• DISCRETE LAPLACE–BELTRAMI OPERATOR ON SPHERE AND OPTIMAL SPHERICAL TRIANGULATIONS
• Numerical study of incompressible fluid dynamics with nonuniform density by the immersed boundary method
• The deformation of a drop in a general time-dependent fluid flow
• Numerical Solution of the Navier-Stokes Equations
• Level set methods: An overview and some recent results
• The second gradient method for the direct numerical simulation of liquid-vapor flows with phase change.
• A front-tracking method for the computations of multiphase flow.