Grid Generation Methods and Techniques In Partial Differential Equation
Exploring Grid Generation Methods for Efficient Solution of PDEs
by Ashok Kumar Yadav*,
- Published in Journal of Advances in Science and Technology, E-ISSN: 2230-9659
Volume 3, Issue No. 5, May 2012, Pages 0 - 0 (0)
Published by: Ignited Minds Journals
ABSTRACT
The simplest place to start an exposition of the basicphilosophy behind the use of an adapted, irregular grid is in one dimension.The most widely used method is the equidistributed mesh. The principles of themethod were later applied to generating efficient computational grids for thenumerical solution of steady PDEs. For example White used a transformation toarc-length coordinates to generate equidistributing meshes for the numericalsolution of two-point boundary value problems. In another approach where theone-dimensional mesh was iterated by trying to reduce the truncation error ofthe solution of the underlying PDE after each iteration. This is a convenientpoint at which to formally introduce and dene the equidistribution principle.
KEYWORD
grid generation, partial differential equation, methods, techniques, irregular grid, equidistributed mesh, computational grids, numerical solution, boundary value problems, truncation error
