Date of Award

Spring 5-1-2017

Degree Type

Report

Degree Name

Master of Science (MS)

Department

Mechanical and Aerospace Engineering

First Advisor

Douglas Hunsaker

Abstract

This work examines the application of a high-order numerical method to strand-based grids to solve the Navier-Stokes equations. Coined "Flux Correction", this method eliminates error terms in the fluxes of traditional second-order finite volume Galerkin methods. Flux Correction is first examined for applications to the Reynolds-Averaged Navier-Stokes equations to compute turbulent flows on a strictly strand-based domain. Flow over three geometries are examined to demonstrate the method’s capabilities: a three-dimensional bump, an infinite wing, and a hemisphere-cylinder configuration. Comparison to results obtained from established codes show that the turbulent Flux Correction scheme accurately predicts flow properties such as pressure, velocity profiles, shock location and strength. However, it can be seen that an overset Cartesian solver is necessary to more accurately capture certain flow properties in the wake region.

The Strand-Cartesian Interface Manager(SCIM) uses a combination of second-order trilinear interpolation and mixed-order Lagrange interpolation to establish domain connectivity between the overset grids. Verification of the high-order SCIM code are conducted through the method of manufactured solutions. Steady and unsteady flow around a sphere are used to validate the SCIM library.

The method is found to be have a combined order of accuracy of approximately 2.5, and has improved accuracy for steady cases. However, for unsteady cases the method fails to accurately predict the time-dependent flow field.

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