Compressible Flow SUPG Stabilization Parameters Computed from Degree-of-freedom Submatrices |
| |
Authors: | Lucia Catabriga Alvaro L. G. A. Coutinho Tayfun E. Tezduyar |
| |
Affiliation: | (1) Department of Computer Science, Federal University of Espírito Santo (UFES), Av. Fernando Ferrari, 514, Goiabeiras, 29075-910, Vitória, Brazil;(2) Department of Civil Engineering - COPPE, Federal University of Rio de Janeiro (UFRJ), Caixa Postal, 68506 Rio de Janeiro, Brazil;(3) Team for Advanced Flow Simulation and Modeling (T*AFSM), Mechanical Engineering, Rice University - MS 321, 6100 Main Street, Houston, TX 77005, USA |
| |
Abstract: | We present, for the SUPG formulation of inviscid compressible flows, stabilization parameters defined based on the degree-of-freedom submatrices of the element-level matrices. With 2D steady-state test problems involving supersonic flows and shocks, we compare these stabilization parameters with the ones defined based on the full element-level matrices. We also compare them to the stabilization parameters introduced in the earlier development stages of the SUPG formulation of compressible flows. In all cases the formulation includes a shock-capturing term involving a shock-capturing parameter. We investigate the difference between updating the stabilization and shock-capturing parameters at the end of every time step and at the end of every nonlinear iteration within a time step. The formulation includes, as an option, an algorithmic feature that is based on freezing the shock-capturing parameter at its current value when a convergence stagnation is detected. |
| |
Keywords: | Inviscid compressible flows Finite elements SUPG formulation Stabilization parameters Degree-of-freedom submatrices |
本文献已被 SpringerLink 等数据库收录! |
|