DefinePK

Abstract

There have been many researches which focus on the grid quality in computational fluid dynamics. Despite it is known that, for instance, the higher the grid number, the more accurate the results, systematic framework for the selection of grid numbers based on some flow parameters remains as an open-ended issue. This paper highlights some findings on the idea of such framework, and considers grid number and grid expansion factor as two of many factors which contribute to result accurateness. In particular, it takes scalar convection-dominated equation solution into account, in order to show that the grid number and expansion factor are predictable for a range of Peclet number of interests. Two methods are used to solve the equation. They are shooting method as well as that of finite-difference. Relationship between grid expansion factor and Peclet number, and that between grid number and Peclet number for both methods are then discussed. The results prove the predictability of the grid parameters of interest, and shed light on more general framework for the selection of grid parameters based on flow parameters.