Generating exact solutions of the twodimensional Burgers' equations
Abstract
A procedure for computationally generating exact solutions for the twodimensional Burger's equations for fluid flows is described. Attention is focused on the steady components of Burger's equations, and a centered secondorder finite difference formulation and a finite element expression were defined using linear rectangular elements. It was found that the finite element formulation required a greater amount of computer time due to an inefficient handling of the convective terms. The finite difference method was concluded suitable for using the twodimensional Burger's equations for testing computational algorithms for solving the incompressible NavierStokes equations.
 Publication:

International Journal for Numerical Methods in Fluids
 Pub Date:
 June 1983
 DOI:
 10.1002/fld.1650030302
 Bibcode:
 1983IJNMF...3..213F
 Keywords:

 Burger Equation;
 Computational Fluid Dynamics;
 Computer Techniques;
 Finite Difference Theory;
 Two Dimensional Flow;
 Finite Element Method;
 Incompressible Flow;
 NavierStokes Equation;
 Problem Solving;
 Run Time (Computers);
 Fluid Mechanics and Heat Transfer