For accelerating flow problems
Abstract
The convergence properties of several nonlinear solution procedures were examined with respect to the accelerated flow of a fluid in a converging channel (the Hamel problem), using two different finite element computer programs with different elemental construction. The Reynolds number varied from that for creeping flow to 1088 without exceeding the radius of convergence. Special attention was given to the successive substitution and NewtonRaphson solution algorithms, with a significant advantage in rate of convergence noted for the latter
 Publication:

International Journal for Numerical Methods in Engineering
 Pub Date:
 1977
 DOI:
 10.1002/nme.1620110710
 Bibcode:
 1977IJNME..11.1155G
 Keywords:

 Channel Flow;
 Convergence;
 Finite Element Method;
 Incompressible Flow;
 NavierStokes Equation;
 Viscous Flow;
 Computer Programs;
 Graphs (Charts);
 Iterative Solution;
 NewtonRaphson Method;
 Newtonian Fluids;
 Reynolds Number;
 Fluid Mechanics and Heat Transfer