Further Analysis of High-Order Overset Grid Method with Applications

Abstract

A parallel, high-order, overset-grid method is examined for use in ∞uid dynamics and aeroacoustics. This approach, which couples the accuracy and decreased grid-point requirements of high-order methods with the geometric ∞exibility of oversetgrid methods, is demonstrated by its application on three benchmark-type problems. These include the inviscid convection of a vortex in an otherwise uniform mean ∞ow, the scattering of acoustic waves by a conflguration of three circular cylinders, and the viscous, laminar ∞ow over two circular cylinders in close proximity at a Reynolds number of 100. Particular attention is paid to the efiect that the one-sided difierencing and flltering algorithms employed near computational boundaries has on the overall solution accuracy. The impact that the order of the interpolation used at overset grid boundaries has on the solution accuracy is also investigated. The results obtained here show that high-order one-sided fllters and interpolation methods are required to obtain the maximum beneflt from the high-order overset-grid approach.