The use of the relaxation method to solve steady-state difference problems of convection
Abstract
The relaxation method is used to develop a procedure for improving the convergence of the Zeidel iteration process for the solution of steady-state difference problems of convection. Optimal relaxation parameters are determined numerically for equations of temperature, stream function and vorticity in a wide range of Rayleigh numbers. An algorithm for stabilizing the iterative process at large Rayleigh numbers is obtained.
- Publication:
-
Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki
- Pub Date:
- February 1981
- Bibcode:
- 1981ZVMMF..21..127P
- Keywords:
-
- Convective Flow;
- Finite Difference Theory;
- Relaxation Method (Mathematics);
- Convergence;
- Iterative Solution;
- Optimization;
- Rayleigh Number;
- Fluid Mechanics and Heat Transfer