A numerical treatment of the coupled viscous Burgers’ equation in the presence of very large Reynolds number

Ali Başhan

Physica A: Statistical Mechanics and its Applications, 2020, vol. 545, issue C

Abstract: A numerical investigation of the coupled viscous Burgers’ equation for very large Reynolds numbers do not exist in the literature. Coupled viscous Burgers’ equations are solved numerically in the presence of very large Reynolds numbers. For this case, numerical approach to the coupled viscous Burgers’ equation via contributions of two effective methods is used. The first component of the mixed method is finite difference method and the second one is differential quadrature method. For this process, the third order modified cubic B-spline functions are used as base function. To display the effectiveness of the present mixed method four different test problems have been investigated. For various values of the coefficients, more particularly for very large Reynolds numbers, in other words, for the very small value of kinematic viscosity parameters solutions are obtained. Error norms are calculated and compared with analytical results and also with numerical results of the related literature. Present results display that the present mixed method obtains high accurate solutions and in compatibility with both of the analytical and numerical results.

Keywords: Coupled viscous Burgers’ equation; Differential quadrature method; Finite difference method; Reynolds number; B-spline (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119320928

DOI: 10.1016/j.physa.2019.123755

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