SUPG Formulation of the Acoustics-Convection Upstream Resolution Algorithm for Compressible Flows

2006 ◽  
Author(s):  
Joe Iannelli
Keyword(s):  
Compressible Flows ◽  
Supg Formulation ◽  
Resolution Algorithm

Computation of Inviscid Supersonic Flows Around Cylinders and Spheres With the V-SGS Stabilization and YZβ Shock-Capturing

2009 ◽  
Vol 76 (2) ◽  
Author(s):  
Franco Rispoli ◽  
Rafael Saavedra ◽  
Filippo Menichini ◽  
Tayfun E. Tezduyar
Keyword(s):  
Numerical Experiments ◽  
Compressible Flows ◽  
Supersonic Flows ◽  
Shock Capturing ◽  
Test Problems ◽  
Subgrid Scale ◽  
Variational Multiscale Method ◽  
Variational Multiscale ◽  
Supg Formulation ◽  
Cylinders And Spheres

The YZβ shock-capturing technique was introduced originally for use in combination with the streamline-upwind/Petrov–Galerkin (SUPG) formulation of compressible flows in conservation variables. It is a simple residual-based shock-capturing technique. Later it was also combined with the variable subgrid scale (V-SGS) formulation of compressible flows in conservation variables and tested on standard 2D test problems. The V-SGS method is based on an approximation of the class of SGS models derived from the Hughes variational multiscale method. In this paper, we carry out numerical experiments with inviscid supersonic flows around cylinders and spheres to evaluate the performance of the YZβ shock-capturing combined with the V-SGS method. The cylinder computations are carried out at Mach numbers 3 and 8, and the sphere computations are carried out at Mach number 3. The results compare well to those obtained with the YZβ shock-capturing combined with the SUPG formulation, which were shown earlier to compare very favorably to those obtained with the well established OVERFLOW code.

Three-Dimensional Edge-Based SUPG Computation of Inviscid Compressible Flows With YZβ Shock-Capturing

2009 ◽  
Vol 76 (2) ◽  
Author(s):  
Lucia Catabriga ◽  
Denis A. F. de Souza ◽  
Alvaro L. G. A. Coutinho ◽  
Tayfun E. Tezduyar
Keyword(s):  
Data Structures ◽  
Computational Efficiency ◽  
Compressible Flows ◽  
Three Dimensional ◽  
Shock Capturing ◽  
Iterative Computation ◽  
Supg Formulation ◽  
Edge Based ◽  
Inviscid Compressible Flows ◽  
2D And 3D

The streamline-upwind/Petrov–Galerkin (SUPG) formulation of compressible flows based on conservation variables, supplemented with shock-capturing, has been successfully used over a quarter of a century. In this paper, for inviscid compressible flows, the YZβ shock-capturing parameter, which was developed recently and is based on conservation variables only, is compared with an earlier parameter derived based on the entropy variables. Our studies include comparing, in the context of these two versions of the SUPG formulation, computational efficiency of the element- and edge-based data structures in iterative computation of compressible flows. Tests include 1D, 2D, and 3D examples.

Sign in / Sign up

Export Citation Format

Share Document