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 Newton-Raphson 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;
- Navier-Stokes Equation;
- Viscous Flow;
- Computer Programs;
- Graphs (Charts);
- Iterative Solution;
- Newton-Raphson Method;
- Newtonian Fluids;
- Reynolds Number;
- Fluid Mechanics and Heat Transfer