Extrapolation of finite-difference calculations of laminar natural convection in enclosures to zero grid size
Abstract
The potentiality and reliability of extrapolation is examined as a means of minimizing the requirements for grid size reduction in three-dimensional systems. Convergence by a preemptive reduction in the grid size is precluded, as the time requirements for the finite-difference computation of laminar natural convection in enclosures are too great. The method of Richardson and Gaunt (1927) for extrapolation of values for only one halving of the grid size is evaluated by analyzing computed results for one- and two-dimensional natural convection. It is concluded that this method is applicable if a consistent order of truncation is used in all of the finite-difference approximations and if the larger grid size is equal to or less than one-fifth of the least dimension.
- Publication:
-
Numerical Heat Transfer
- Pub Date:
- March 1981
- Bibcode:
- 1981NumHT...4...39C
- Keywords:
-
- Computational Fluid Dynamics;
- Finite Difference Theory;
- Free Convection;
- Laminar Flow;
- Error Analysis;
- Extrapolation;
- Grids;
- One Dimensional Flow;
- Prediction Analysis Techniques;
- Richardson Number;
- Two Dimensional Flow;
- Fluid Mechanics and Heat Transfer