A parallelized Eulerian VIScous Vorticity Equation (VISVE) method in an inertial and non-inertial frame of reference




Wu, Chunlin

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A parallelized VIScous Vorticity Equation (VISVE) method that solves the vorticity transport equation to simulate the incompressible viscous flow in both the inertial and non-inertial frame of reference is proposed in this dissertation. The local concentration of vorticity near the wall and the wake is fully exploited by the current method, which is designed to efficiently solve the flow past a body with irregular wall boundaries surrounded by a small and compact computational domain in general shapes. The method is also parallelized using both Open Multi-Processing (Open-MP) and Message Passing Interface (MPI) in a hybrid manner to boost the speed of computations.

The present method is implemented in the case of flow past a 3-D hydrofoil with one periodic direction and flow past a 3-D wing in the inertial frame of reference. The method is also applied to oscillatory flow past a 2-D circular cylinder, uniform flow past a rotating 2-D circular cylinder, uniform flow past a rotating 3-D circular cylinder, and uniform flow past a rotating propeller in the non-inertial frame of reference. The current results, such as the velocity field, vorticity field, and body forces, exhibit a high level of agreement with those of established numerical and experimental benchmark tests, demonstrating the accuracy and robustness of this method.


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