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A Comparison of Central-Upwind Schemes for Solving the Burgers’ Equation

Tristin Fernandes, Dr. Arunasalem Rahunanthan, Department of Mathematics and Computer Science, Central State University, 1400 Brush Row Rd, Wilberforce OH 45384

The Navier-Stokes equation, which describes the motion of fluid substances, can be used to model several phenomena in science and engineering. The Burgers’ equation is a simplified version of the Navier-Stokes equation. There are several schemes available for the numerical simulation of the Burgers’ equation. In [1] Kurganov and Tadmor proposed semi-discrete high-resolution central schemes for solving convection-diffusion equations, such as the Burgers’ equation. In this poster, we compare two central-upwind schemes proposed in [2] and [3] to find the numerical solution of the inviscid Burgers’ equation in a one-dimensional domain. 

[1] A. Kurganov and E. Tadmor (2000), “New high resolution central schemes for nonlinear conservation laws and convection-diffusion equations”, J. Comput. Phys. 160, 241-282.

[2] A. Kurganov, S. Noelle and G. Petrova (2001), “Semi-discrete central-upwind scheme for hyperbolic conservation laws and Hamilton-Jacobi equations”, SIAM J. Sci. Comput. 23, 707-740.

[3] A. Kurganov and C.-T. Lin (2007), “On the reduction of numerical dissipation in central-upwind schemes”, Commun. Comput. Phys. 2, 141-163.




Additional Abstract Information

Presenter: Tristin Fernandes

Institution: Central State University

Type: Poster

Subject: Mathematics

Status: Approved


Time and Location

Session: Poster 8
Date/Time: Tue 5:00pm-6:00pm
Session Number: 5591