Computation of moving boundaries and interfaces and stabilization parameters
Top Cited Papers
- 26 September 2003
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Fluids
- Vol. 43 (5) , 555-575
- https://doi.org/10.1002/fld.505
Abstract
The interface‐tracking and interface‐capturing techniques we developed in recent years for computation of flow problems with moving boundaries and interfaces rely on stabilized formulations such as the streamline‐upwind/Petrov–Galerkin (SUPG) and pressure‐stabilizing/Petrov–Galerkin (PSPG) methods. The interface‐tracking techniques are based on the deforming‐spatial‐domain/stabilized space–time formulation, where the mesh moves to track the interface. The interface‐capturing techniques, typically used with non‐moving meshes, are based on a stabilized semi‐discrete formulation of the Navier–Stokes equations, combined with a stabilized formulation of the advection equation governing the time‐evolution of an interface function marking the interface location. We provide an overview of the interface‐tracking and interface‐capturing techniques, and highlight how we determine the stabilization parameters used in the stabilized formulations. Copyright © 2003 John Wiley & Sons, Ltd.Keywords
This publication has 12 references indexed in Scilit:
- Stabilized Finite Element Formulations for Incompressible Flow ComputationsPublished by Elsevier ,2008
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equationsPublished by Elsevier ,2003
- Finite element methods for flow problems with moving boundaries and interfacesArchives of Computational Methods in Engineering, 2001
- Finite element stabilization parameters computed from element matrices and vectorsComputer Methods in Applied Mechanics and Engineering, 2000
- On the performance of high aspect ratio elements for incompressible flowsComputer Methods in Applied Mechanics and Engineering, 2000
- Methods for parallel computation of complex flow problemsParallel Computing, 1999
- Stabilized finite element methods: I. Application to the advective-diffusive modelComputer Methods in Applied Mechanics and Engineering, 1992
- A new finite element formulation for computational fluid dynamics: VIII. The galerkin/least-squares method for advective-diffusive equationsComputer Methods in Applied Mechanics and Engineering, 1989
- Discontinuity-capturing finite element formulations for nonlinear convection-diffusion-reaction equationsComputer Methods in Applied Mechanics and Engineering, 1986
- Petrov-Galerkin formulations with weighting functions dependent upon spatial and temporal discretization: Applications to transient convection-diffusion problemsComputer Methods in Applied Mechanics and Engineering, 1986