GridGeneration.jl Documentation

Welcome to the documentation and formulation for GridGeneration.jl

Current Example

Just finished adding examples for airfoil case

Overview

A brief description of the underlying ordinary differential equation (ODE) is presented in ODE Formulation with supporting work shown in Mathematical Work. The ODE is nonlinear and second order boundary value problem which can be reformulated as a system system of first order ODEs. Two numerical methods, one for the First Order System using Julia's library DifferentialEquations.jl and second for the Second Order BVP ODE using central differencing and fixed point iteration with under-relaxation. Both methods prove to be rather unstable so a semi-analytical method (semi due to the use of numerical integration and inversion) is adopted.

To create 2D and 3D grids, we present a method of Mapping 2D to 1D and 1D back to 2D.

Work is down under the supervision and support of Dr. Larsson at the University of Maryland.