The 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 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 shock-capturing combined with the SUPG formulation, which were shown earlier to compare very favorably to those obtained with the well established OVERFLOW code.
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e-mail: franco.rispoli@uniroma1.it
e-mail: rsaavedr@udep.edu.pe
e-mail: f.menichini@dma.ing.uniroma1.it
e-mail: tezduyar@rice.edu
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March 2009
Stabilized, Multiscale, And Multiphysics Methods In Fluid Mechanics
Computation of Inviscid Supersonic Flows Around Cylinders and Spheres With the V-SGS Stabilization and Shock-Capturing
Franco Rispoli,
Franco Rispoli
Dipartimento di Meccanica e Aeronautica,
e-mail: franco.rispoli@uniroma1.it
Università degli Studi di Roma “La Sapienza
,” Via Eudossiana 18, I-00184 Roma, Italy
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Rafael Saavedra,
Rafael Saavedra
Departamento de Ingeneria Mecánica-Electrica,
e-mail: rsaavedr@udep.edu.pe
Universidad de Piura
, Avenida Ramón Mugica 131, Piura, Perú
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Filippo Menichini,
Filippo Menichini
Dipartimento di Meccanica e Aeronautica,
e-mail: f.menichini@dma.ing.uniroma1.it
Università degli Studi di Roma “La Sapienza
,” Via Eudossiana 18, I-00184 Roma, Italy
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Tayfun E. Tezduyar
Tayfun E. Tezduyar
Mechanical Engineering,
e-mail: tezduyar@rice.edu
Rice University
, MS 321, 6100 Main Street, Houston, TX 77005
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Franco Rispoli
Dipartimento di Meccanica e Aeronautica,
Università degli Studi di Roma “La Sapienza
,” Via Eudossiana 18, I-00184 Roma, Italye-mail: franco.rispoli@uniroma1.it
Rafael Saavedra
Departamento de Ingeneria Mecánica-Electrica,
Universidad de Piura
, Avenida Ramón Mugica 131, Piura, Perúe-mail: rsaavedr@udep.edu.pe
Filippo Menichini
Dipartimento di Meccanica e Aeronautica,
Università degli Studi di Roma “La Sapienza
,” Via Eudossiana 18, I-00184 Roma, Italye-mail: f.menichini@dma.ing.uniroma1.it
Tayfun E. Tezduyar
Mechanical Engineering,
Rice University
, MS 321, 6100 Main Street, Houston, TX 77005e-mail: tezduyar@rice.edu
J. Appl. Mech. Mar 2009, 76(2): 021209 (6 pages)
Published Online: January 26, 2009
Article history
Received:
November 21, 2007
Revised:
July 9, 2008
Published:
January 26, 2009
Citation
Rispoli, F., Saavedra, R., Menichini, F., and Tezduyar, T. E. (January 26, 2009). "Computation of Inviscid Supersonic Flows Around Cylinders and Spheres With the V-SGS Stabilization and Shock-Capturing." ASME. J. Appl. Mech. March 2009; 76(2): 021209. https://doi.org/10.1115/1.3057496
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