Shock wave simulations using Sine Differential Quadrature Method

摘要

Purpose - This paper aims to present a numerical solution of non-linear Burger's equation using differential quadrature method based on sine functions. Design/methodology/approach - Sine Differential Quadrature Method is used for space discretization and four stage Runge-Kutta algorithm is used for time discretization. A rate of convergency analysis is also performed for shock-like solution. Numerical stability analysis is performed. Findings - Sine Differential Quadrature Method generates more accurate solutions of Burgers' equation when compared with the other methods. Originality/value - This combination, Sine Differential Quadrature and Runge-Kutta of order four, has not been used to obtain numerical solutions of Burgers' equation.