# Particle tracking and particle–shock interaction in compressible-flow computations with the V-SGS stabilization and (Formula presented.)shock-capturing

Franco Rispoli, Giovanni Delibra, Paolo Venturini, Alessandro Corsini, Rafael Saavedra, Tayfun E. Tezduyar

Research output: Contribution to journalArticle

40 Citations (Scopus)

### Abstract

The $$YZ\beta$$YZβ shock-capturing technique, which is residual-based, was introduced in conjunction with the Streamline-Upwind/Petrov–Galerkin (SUPG) formulation of compressible flows in conservation variables. It was later also combined with the variable subgrid scale (V-SGS) formulation of compressible flows in conservation variables and successfully tested on 2D and 3D computation of inviscid flows with shocks. In this paper we extend that combined method to inviscid flow computations with particle tracking and particle–shock interaction. Particles are tracked individually, assuming one-way dependence between the particle dynamics and the flow. We present two steady-state test computations with particle–shock interaction, one in 2D and one in 3D, and show that the overall method is effective in particle tracking and particle–shock interaction analysis in compressible flows.

Original language English 1201-1209 9 Computational Mechanics 55 6 https://doi.org/10.1007/s00466-015-1160-3 Published - 2015 Jun 15 Yes

### Fingerprint

Shock Capturing
Particle Tracking
Compressible flow
Compressible Flow
Stabilization
Inviscid Flow
Conservation
Interaction
Petrov-Galerkin
Formulation
Combined Method
Streamlines
Shock

### Keywords

• (Formula presented.) shock-capturing
• Compressible flow
• Particle tracking
• Particle–shock interaction
• V-SGS stabilization

### ASJC Scopus subject areas

• Ocean Engineering
• Mechanical Engineering
• Computational Theory and Mathematics
• Computational Mathematics
• Applied Mathematics

### Cite this

Particle tracking and particle–shock interaction in compressible-flow computations with the V-SGS stabilization and (Formula presented.)shock-capturing. / Rispoli, Franco; Delibra, Giovanni; Venturini, Paolo; Corsini, Alessandro; Saavedra, Rafael; Tezduyar, Tayfun E.

In: Computational Mechanics, Vol. 55, No. 6, 15.06.2015, p. 1201-1209.

Research output: Contribution to journalArticle

Rispoli, Franco ; Delibra, Giovanni ; Venturini, Paolo ; Corsini, Alessandro ; Saavedra, Rafael ; Tezduyar, Tayfun E. / Particle tracking and particle–shock interaction in compressible-flow computations with the V-SGS stabilization and (Formula presented.)shock-capturing. In: Computational Mechanics. 2015 ; Vol. 55, No. 6. pp. 1201-1209.
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AU - Corsini, Alessandro

AU - Saavedra, Rafael

AU - Tezduyar, Tayfun E.

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