ABSTRACT
ABSTRACT: Computational aeroacoustics needs to use finite difference schemes which have high accuracy and high resolution characteristics. In this article, a penta-diagonal compact implicit finite difference scheme is optimized using exponential objective function to obtain maximum resolution characteristics. Through Fourier analysis, the optimization is reduced to the problem of finding the minimum of a multivariable nonlinear function with multiple constraints. A uncomplicated algorithm was proposed to find the best performance scheme under the exponential objective function. Actual performance of the optimized compact scheme is applied to numerical simulations of a simple wave convection benchmark problem, the effective accuracy is then discussed.
