Optimum Grid By Direct Optimization Methods
A solution-adaptive grid procedure based on optimization is developed and applied to the Linearized Viscous Burger's governing equation. The scheme redistributes the grid points as the solution adapts through each successive iteration step to minimize the truncation error terms in the modified equation and satisfy the governing equation. Fist order Roe scheme is used to discretize the governing equation. If the truncation error terms become negligible and the governing equation is satisfied by the scheme then the numerical solution approaches the exact solution.
44th Aerospace Sciences Meeting, 9-12 Jan 2006, Reno, Nevada
Mahajan, Ajay Mohan and Hindman, Richard G., "Optimum Grid By Direct Optimization Methods" (2006). Mechanical Engineering Faculty Research. 579.