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

Jordan Thistle
Iowa State University
Iowa State University, 2012
@article{thistle2012development,

   title={Development of an explicit pressure-based unstructured solver for three-dimensional incompressible flows with graphics hardware acceleration},

   author={Thistle, Jordan},

   year={2012}

}

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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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