High-Order Finite Difference Simulation of Shock Wave Propagation: A Numerical Investigation

Author(s): Gajendra Shrivastava and Dr. Pankaj Sharma

Abstract:

Shock wave propagation is a complex phenomenon that arises in various fields, including aerospace engineering, material science, medical research. This study presents a numerical investigation of shock wave propagation using high-order finite difference methods. The Euler equations are discretizied using higher order finite difference scheme & a time integration is performed using a Runge-kutta method. The numerical method is validated through comparisons with exact solutions and experimental data, demonstrating its accuracy & robustness. A parametric study is conducted to examine the effects of grid resolution, time step size, & numerical dissipation on the simulation results. The methodology is applied to simulate complex shock wave phenomena, including reflection, diffraction, & boundary interactions.

Keywords: Shockwave propagation, high-order finite difference methods, numerical simulation, Euler equations, fluid dynamics.

Pages: 40-41      |       34 View       |       3 Download