Analysis of shock wave reflection from fixed and moving boundaries using a stabilized particle method--颗粒学报PARTICUOLOGY

Ostad, H., & Mohammadi, S. (2009). Analysis of shock wave reflection from fixed and moving boundaries using a stabilized particle method. Particuology, 7(5), 373–383. https://doi.org/10.1016/j.partic.2009.05.001

Analysis of shock wave reflection from fixed and moving boundaries using a stabilized particle method

Hassan Ostad ^a, Soheil Mohammadi ^a *

a School of Civil Engineering, University of Tehran, Enghelab Ave., Tehran, Iran

10.1016/j.partic.2009.05.001

Volume 7, Issue 5, October 2009, Pages 373-383

Received 29 December 2008, Revised 11 April 2009, Accepted 24 May 2009, Available online 19 August 2009.

E-mail: smoham@ut.ac.ir

Highlights

Abstract

In the present paper, the efficiency of an enhanced formulation of the stabilized corrective smoothed particle method (CSPM) for simulation of shock wave propagation and reflection from fixed and moving solid boundaries in compressible fluids is investigated. The Lagrangian nature and its accuracy for imposing the boundary conditions are the two main reasons for adoption of CSPM. The governing equations are further modified for imposition of moving solid boundary conditions. In addition to the traditional artificial viscosity, which can remove numerically induced abnormal jumps in the field values, a velocity field smoothing technique is introduced as an efficient method for stabilizing the solution. The method has been implemented for one- and two-dimensional shock wave propagation and reflection from fixed and moving boundaries and the results have been compared with other available solutions. The method has also been adopted for simulation of shock wave propagation and reflection from infinite and finite solid boundaries.

Graphical abstract

Keywords

CSPMM; eshfree particle method; Shock wave propagation and reflection; Moving boundaries; Compressible fluids; Velocity field smoothing stabilization

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