Computational problems on composite grids
Abstract
Most currently used algorithms for the numerical solution of the partial differential equations encountered in fluid flow problems can be implemented on composite grid systems. Finite volume formulations are easier to derive on composite grids, and may in principle be derived for partial differential equations of all types. Except when using Alternating Difference Implicittype schemes, the overlapping of grids is an alternative to the more common grid construction procedure where grid lines continue smoothly from one subregion to the next. In the solution of model problems, the correct choice of an interpolation formula has been found able to reduce errors by a factor of two.
 Publication:

17th Fluid Dynamics, Plasma Dynamics, and Lasers Conference
 Pub Date:
 June 1984
 Bibcode:
 1984fdpd.confS....M
 Keywords:

 Complex Systems;
 Computational Fluid Dynamics;
 Computational Grids;
 Computer Aided Design;
 Partial Differential Equations;
 Elliptical Cylinders;
 Error Analysis;
 Finite Difference Theory;
 Finite Element Method;
 Interpolation;
 Laplace Equation;
 Fluid Mechanics and Heat Transfer