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Adaptives Verfahren zur effizienten numerischen Simulation mehr-skaliger Phänomene bei der Windumströmung von Bauwerken

Subject Area Applied Mechanics, Statics and Dynamics
Structural Engineering, Building Informatics and Construction Operation
Term from 2012 to 2016
Project identifier Deutsche Forschungsgemeinschaft (DFG) - Project number 210860130
 
Final Report Year 2017

Final Report Abstract

The project has developed a novel adaptive solution strategy for Vortex Particle Methods (VPM) that allows the efficient resolution of multiple scales that are characteristic of flows around bluff bodies with small structural details. The efficiency of the method arises from maintaining a sufficiently high spatial numerical discretization near the fluid-solid interface and a progressive coarsening away from the bodies and their structural details. The control of the particle map is achieved through remeshing based on high-order interpolation kernels and ensures an accurate representation of the flow features of different scales whose resolution is critical to an accurate computation of the pressures on the immersed structure subjected to separated flows. As the required time step of the time integration is directly related to the spatial resolution, the scheme is further enhanced by a temporal adaptivity realized through a sub-stepping technique for controlling the frequency at which the particle convection and diffusion steps are performed. The validation of the proposed technique was performed by simulations of the impulsively started flow past a circular cylinder at Reynolds number 3000, where both the spatial and the temporal strategies were at first independently studied and then combined to full adaptivity. A substantially higher computational efficiency compared to equally accurate non-adaptive simulations was observed. Further studies of accuracy and efficiency were performed by simulating the flow past the cross section of a bridge arch geometry featuring important small structural details. The parameters of the spatial and temporal resolution components are designed in such a way that they can be utilised for regional discretization that is either pre-defined such as implemented so far or being driven by other criteria such as error estimation techniques. As such the scheme is a flexible method to locally control resolution in VPM and thus to balance accuracy and computational cost. Further, the project has developed a GPU-based parallelization of the VPM implementation, specifically of the P3M method for the velocity field solution, which massively improves solution performance on modern computer architectures.

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