A cut finite element method for incompressible two-phase Navier-Stokes flows
DOI10.1016/j.jcp.2019.01.028zbMath1451.76067arXiv1808.02662OpenAlexW2886188545MaRDI QIDQ2214638
Publication date: 10 December 2020
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.02662
surface tensionlevel set methodNavier-Stokessharp interface methodunfitted finite element methodspace-time cutfem
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10) 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) Liquid-liquid two component flows (76T06)
Related Items (max. 100)
Uses Software
Cites Work
- Unnamed Item
- A uniformly well-conditioned, unfitted Nitsche method for interface problems
- Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method
- Arbitrary Lagrangian-Eulerian finite-element method for computation of two-phase flows with soluble surfactants
- Ghost penalty
- A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity
- A robust Nitsche's formulation for interface problems
- An extended pressure finite element space for two-phase incompressible flows with surface tension
- A front-tracking method for viscous, incompressible multi-fluid flows
- A level set approach for computing solutions to incompressible two-phase flow
- An efficient mass-preserving interface-correction level set/ghost fluid method for droplet suspensions under depletion forces
- An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
- Sharp interface approaches and deep learning techniques for multiphase flows
- A cut finite element method for coupled bulk-surface problems on time-dependent domains
- A stable parametric finite element discretization of two-phase Navier-Stokes flow
- High order unfitted finite element methods on level set domains using isoparametric mappings
- An extended finite element method with algebraic constraints (XFEM-AC) for problems with weak discontinuities
- Geometric integration over irregular domains with application to level-set methods
- A cut finite element method for a Stokes interface problem
- Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
- Trace finite element methods for PDEs on surfaces
- A space-time cut finite element method with quadrature in time
- Highly accurate surface and volume integration on implicit domains by means of moment-fitting
- CutFEM: Discretizing geometry and partial differential equations
- A face-oriented stabilized Nitsche-type extended variational multiscale method for incompressible two-phase flow
- Higher-order accurate integration of implicit geometries
- The extended/generalized finite element method: An overview of the method and its applications
- Numerical Methods for Two-phase Incompressible Flows
- The Nitsche XFEM-DG Space-Time Method and its Implementation in Three Space Dimensions
- Quantitative benchmark computations of two-dimensional bubble dynamics
- An Efficient, Interface-Preserving Level Set Redistancing Algorithm and Its Application to Interfacial Incompressible Fluid Flow
- Inf-sup stability of geometrically unfitted Stokes finite elements
- A penalty-free Nitsche method for the weak imposition of boundary conditions in compressible and incompressible elasticity
- Time-evolving bubbles in two-dimensional Stokes flow
- High-Order Quadrature Methods for Implicitly Defined Surfaces and Volumes in Hyperrectangles
- A new implicit surface tension implementation for interfacial flows
- Stabilized Finite Element Approximation of the Mean Curvature Vector on Closed Surfaces
- Two-dimensional bubbles in slow viscous flows
- Stabilization of high order cut finite element methods on surfaces
- Level set methods: An overview and some recent results
- Evolution, implementation, and application of level set and fast marching methods for advancing fronts
- A front-tracking method for the computations of multiphase flow.
- Finite element discretization of the Navier-Stokes equations with a free capillary surface
This page was built for publication: A cut finite element method for incompressible two-phase Navier-Stokes flows