Abstract
The objective of this paper is to show that use of the element-vector-based definition of stabilization parameters, introduced in [T.E. Tezduyar, Computation of moving boundaries and interfaces and stabilization parameters, Int. J. Numer. Methods Fluids 43 (2003) 555-575; T.E. Tezduyar, Y. Osawa, Finite element stabilization parameters computed from element matrices and vectors, Comput. Methods Appl. Mech. Engrg. 190 (2000) 411-430], circumvents the well-known instability associated with conventional stabilized formulations at small time steps. We describe formulations for linear advection-diffusion and incompressible Navier-Stokes equations and test them on three benchmark problems: advection of an L-shaped discontinuity, laminar flow in a square domain at low Reynolds number, and turbulent channel flow at friction-velocity Reynolds number of 395.
| Original language | English |
|---|---|
| Pages (from-to) | 828-840 |
| Number of pages | 13 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 199 |
| Issue number | 13-16 |
| DOIs | |
| Publication status | Published - 2010 Feb 1 |
| Externally published | Yes |
Keywords
- Advection-diffusion equation
- Element-vector-based τ
- Incompressible Navier-Stokes equations
- Stabilized methods
- Turbulence modeling
- Turbulent channel flow
- Variational multiscale methods
ASJC Scopus subject areas
- Computational Mechanics
- Mechanics of Materials
- Mechanical Engineering
- Physics and Astronomy(all)
- Computer Science Applications