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.
Original language | English |
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Pages (from-to) | 555-575 |
Number of pages | 21 |
Journal | International Journal for Numerical Methods in Fluids |
Volume | 43 |
Issue number | 5 |
DOIs | |
Publication status | Published - 2003 Oct 20 |
Externally published | Yes |
Keywords
- Moving boundaries and interfaces
- SUPG and PSPG formulations
- Stabilization parameters
ASJC Scopus subject areas
- Computational Mechanics
- Mechanics of Materials
- Mechanical Engineering
- Computer Science Applications
- Applied Mathematics