Development of an explicit pressure-based unstructured solver for three-dimensional incompressible flows with graphics hardware acceleration

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2012-01-01
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Thistle, Jordan
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R. Ganesh Rajagopalan
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Aerospace Engineering

The Department of Aerospace Engineering seeks to instruct the design, analysis, testing, and operation of vehicles which operate in air, water, or space, including studies of aerodynamics, structure mechanics, propulsion, and the like.

History
The Department of Aerospace Engineering was organized as the Department of Aeronautical Engineering in 1942. Its name was changed to the Department of Aerospace Engineering in 1961. In 1990, the department absorbed the Department of Engineering Science and Mechanics and became the Department of Aerospace Engineering and Engineering Mechanics. In 2003 the name was changed back to the Department of Aerospace Engineering.

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1942-present

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  • Department of Aerospace Engineering and Engineering Mechanics (1990-2003)

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Abstract

In this research, a numerical algorithm was developed to solve the incompressible Navier-Stokes equations using explicit time stepping. The goal of this research was to develop an unsteady SIMPLER based algorithm with lower computational overhead. The new explicit algorithm uses a four stage Runge-Kutta scheme to update the velocities and eliminates the need for the pressure correction equation and sub-iterations. This algorithm was derived for use on unstructured tetrahedral grids and was validated with the lid-driven cavity and unsteady rotor flows. This algorithm proved to be easily parallelized and was implemented in CUDA. As a result, accelerations of over 80x are observed compared to a CPU based implicit SIMPLER algorithm using a standard workstation.

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Sun Jan 01 00:00:00 UTC 2012