A boundary-fitted grid model for tidal motions: Orthogonal coordinates generation in 2-D embodying Singapore coastal waters

Abstract

This paper proposes a computational procedure for the generation of an orthogonal coordinate system based on the existing curvilinear coordinates generation techniques. The paper is divided into three sections. Firstly a brief review of the curvilinear coordinates generation by the elliptic grid generation technique along with the curvature constraint that governs the metric of a coordinate system is presented. A procedure for the generation of an orthogonal coordinate system is also outlined. Secondly numerical solution for the grid generation system suggested in the present grid generation procedure is described. The proposed grid generation procedure is adopted for the generation of an orthogonal coordinate system for the 2-D domain of Singapore coastal waters. The generated grid demonstrates very satisfactory results. © 1994.