Solution of Burgers' equation with a large Reynolds number
Abstract
Numerical difficulties arise in the solution of Burgers' equation for the case of a large Reynolds number. The aim of this paper is to extend the finite element method proposed by Caldwell et al. to the general case of n elements. The method is tested out on Burgers' equation for two different initial conditions and proves to be much more accurate than finite difference methods for a large Reynolds number
 Publication:

Applied Mathematics Mechanics English Edition
 Pub Date:
 October 1982
 Bibcode:
 1982ApMaM...6..381C
 Keywords:

 Burger Equation;
 Computational Fluid Dynamics;
 Error Analysis;
 Finite Element Method;
 High Reynolds Number;
 Boundary Value Problems;
 Computerized Simulation;
 Finite Difference Theory;
 Mathematical Models;
 Fluid Mechanics and Heat Transfer