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Shock wave simulations using Sinc Differential Quadrature Method

Shock wave simulations using Sinc Differential Quadrature Method Purpose – This paper aims to present a numerical solution of non‐linear Burger's equation using differential quadrature method based on sinc functions. Design/methodology/approach – Sinc 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 – Sinc Differential Quadrature Method generates more accurate solutions of Burgers' equation when compared with the other methods. Originality/value – This combination, Sinc Differential Quadrature and Runge‐Kutta of order four, has not been used to obtain numerical solutions of Burgers' equation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Engineering Computations Emerald Publishing

Shock wave simulations using Sinc Differential Quadrature Method

Engineering Computations , Volume 28 (6): 21 – Aug 23, 2011

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Publisher
Emerald Publishing
Copyright
Copyright © 2011 Emerald Group Publishing Limited. All rights reserved.
ISSN
0264-4401
DOI
10.1108/02644401111154619
Publisher site
See Article on Publisher Site

Abstract

Purpose – This paper aims to present a numerical solution of non‐linear Burger's equation using differential quadrature method based on sinc functions. Design/methodology/approach – Sinc 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 – Sinc Differential Quadrature Method generates more accurate solutions of Burgers' equation when compared with the other methods. Originality/value – This combination, Sinc Differential Quadrature and Runge‐Kutta of order four, has not been used to obtain numerical solutions of Burgers' equation.

Journal

Engineering ComputationsEmerald Publishing

Published: Aug 23, 2011

Keywords: Sinc functions; Differential quadrature method; Burgers' equation; Shock waves; Number theory; Heat conduction

References