Numerical Solution of Cylindrically Converging Shock Waves

2016/02/08 by M. Shabouei, Shabouei, M., Reza Ebrahimi +3 · 1 citation
Engineering · Mathematics · #Computational Engineering #Computational Fluid Dynamics and Aerodynamics #FOS: Computer and information sciences #Finance #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory #and Science (cs.CE)

paper · pdf · doi:10.48550/arxiv.1602.02680

openalex publication_date 2016/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The cylindrically converging shock wave was numerically simulated by solving the Euler equations in cylindrical coordinates with TVD scheme and MUSCL approach, using Roe's approximate Riemann solver and super-bee nonlinear limiter. The present study used the in house code developed for this purpose. The behavior of the solution in the vicinity of axis is investigated and the results of the numerical solution are compared with the computed data given by Payne, Lapidus, Abarbanel, and Goldberg, Sod, and Leutioff et al.

Citations

• Characteristic-Based Schemes for the Euler Equations

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