Eventos Anais de eventos
ENCIT 2018
Brazilian Congress of Thermal Sciences and Engineering
NEARLY-ORTHOGONAL GRID GENERATION METHOD BASED UPON INHOMOGENOUS ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS
Submission Author:
Kevin de Conde , SP
Co-Authors:
Kevin de Conde, Ezio Garcia, João Luiz F. Azevedo
Presenter: Kevin de Conde
doi://10.26678/ABCM.ENCIT2018.CIT18-0404
Abstract
A nearly-orthogonal boundary-conforming grid generation technique based upon inhomogeneous elliptic partial differential equations is presented. The method has been designed to generate grids for multiply-connected domains in a block-structure fashion. It also allows for control of point distribution along boundaries, as well as control of grid spacing inside the domain by using a slightly modified version of the renowned Thompson's control functions, which is reported to work well. Although not fully-automatic, the process is automatized in order to make it more usable and speed-up computational time, which is usually a demotivating factor in elliptic grid generation techniques. This is also the reason why the implementation has been performed in an objected-oriented fashion using C++ and as relaxation method the Alternating Direction Implicit (ADI) with $\alpha$-sequence, generating appealing results. The method presented can be fully extended to 3D. Some results are presented and discussed.
Keywords
boundary-conforming coordinate systems, nearly-orthogonal grid, inhomogeneous elliptic partial differential equations
