A consistent projection-based SUPG/PSPG XFEM for incompressible two-phase flows

DOI10.1007/s10409-012-0103-xzbMath1345.76082OpenAlexW1972402219MaRDI QIDQ315327

Zhuo Zhuang, Jian-Hui Liao

Publication date: 21 September 2016

Published in: Acta Mechanica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10409-012-0103-x

zbMATH Keywords

consistencytwo-phase flowdiscontinuous projectionSUPG/PSPG algorithmXFEM

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Multiphase and multicomponent flows (76Txx)

Related Items (5)

Radial integral boundary element method for simulating phase change problem with mushy zone ⋮ A cell-based smoothed finite element model for non-Newtonian blood flow ⋮ A cell-based smoothed finite element method stabilized by implicit SUPG/SPGP/fractional step method for incompressible flow ⋮ FE analysis of rock with hydraulic-mechanical coupling based on continuum damage evolution ⋮ A fictitious domain approach for a mixed finite element method solving the two-phase Stokes problem with surface tension forces

Uses Software

• FELSOS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The extended finite element method for two-phase and free-surface flows: a systematic study
• FIC/FEM formulation with matrix stabilizing terms for incompressible flows at low and high Reynolds numbers
• An analysis of time discretization in the finite element solution of hyperbolic problems
• A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• An introduction to finite element methods for transient advection problems
• Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements
• A continuum method for modeling surface tension
• A front-tracking method for viscous, incompressible multi-fluid flows
• Numerical solution of the incompressible Navier-Stokes equations
• On the performance of high aspect ratio elements for incompressible flows
• Finite element stabilization parameters computed from element matrices and vectors
• Level set methods and dynamic implicit surfaces
• A better consistency for low-order stabilized finite element methods
• Meshfree iterative stabilized Taylor-Galerkin and characteristic-based split (CBS) algorithms for incompressible N-S equations
• The finite element method with Lagrangian multipliers
• Arbitrary discontinuities in finite elements
• The extended/generalized finite element method: An overview of the method and its applications
• Elastic crack growth in finite elements with minimal remeshing
• A residual correction method based on finite calculus
• Finite-element/level-set/operator-splitting (FELSOS) approach for computing two-fluid unsteady flows with free moving interfaces
• A finite element method for crack growth without remeshing
• A finite element based level-set method for multiphase flow applications
• A boundary condition capturing method for multiphase incompressible flow.

This page was built for publication: A consistent projection-based SUPG/PSPG XFEM for incompressible two-phase flows