A comparison between the XFEM and a boundary-fitted mesh method for the simulation of rigid particles in Cahn-Hilliard fluids

DOI10.1016/j.compfluid.2017.02.003zbMath1410.76177OpenAlexW2587264401WikidataQ105957464 ScholiaQ105957464MaRDI QIDQ1653715

N. O. Jaensson, Martien A. Hulsen, Patrick D. Anderson

Publication date: 6 August 2018

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2017.02.003

zbMATH Keywords

finite element methodsuspended particlesextended finite element methodCahn-Hilliarddiffuse-interfaceboundary-fitted meshes

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Suspensions (76T20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Capillarity (surface tension) for incompressible viscous fluids (76D45)

Related Items (2)

On the use of a diffuse-interface model for the simulation of rigid particles in two-phase Newtonian and viscoelastic fluids ⋮ An efficient stabilized multiple auxiliary variables method for the Cahn-Hilliard-Darcy two-phase flow system

Uses Software

• Gmsh
• HSL
• PARDISO

Cites Work

• Unnamed Item
• An extended finite element method for the simulation of particulate viscoelastic flows
• On the nonexistence of \(k\)-reptile tetrahedra
• Stokes-Cahn-Hilliard formulations and simulations of two-phase flows with suspended rigid particles
• Phase-field simulations of interfacial dynamics in viscoelastic fluids using finite elements with adaptive meshing
• Fictitious boundary and moving mesh methods for the numerical simulation of rigid particulate flows
• Distributed Lagrange multiplier methods for incompressible viscous flow around moving rigid bodies
• The partition of unity finite element method: basic theory and applications
• Calculation of two-phase Navier-Stokes flows using phase-field modeling
• Simulation of the flow of a viscoelastic fluid around a stationary cylinder using an extended finite element method
• Weakly-imposed Dirichlet boundary conditions for non-Newtonian fluid flow
• Geometric integration over irregular domains with application to level-set methods
• A comparison between a collocation and weak implementation of the rigid-body motion constraint on a particle surface
• Capillary spreading of a droplet in the partially wetting regime using a diffuse-interface model
• Mathematical and Numerical Analysis of a Robust and Efficient Grid Deformation Method in the Finite Element Context
• Sharp-interface limit of the Cahn–Hilliard model for moving contact lines
• Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
• A phase field model of capillarity
• Contact-line dynamics of a diffuse fluid interface
• A diffuse-interface method for simulating two-phase flows of complex fluids
• Cahn–Hilliard modeling of particles suspended in two‐phase flows
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• A distributed Lagrange multiplier/fictitious domain method for particulate flows
• A Fifth Degree Integration Formula for the n-Simplex
• Direct numerical simulations of fluid-solid systems using the arbitrary Lagrangian-Eulerian technique.
• Modeling holes and inclusions by level sets in the extended finite element method

This page was built for publication: A comparison between the XFEM and a boundary-fitted mesh method for the simulation of rigid particles in Cahn-Hilliard fluids