Application of Lattice Boltzmann Method for Simulating Stably Stratified Flows past Cylinders

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2023-09-17
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Abstract
This research looks into the intriguing subject of ambient density-stratified flows, which have long captivated researchers due to their representation of real-world physical phenomena such as diapycnal mixing in oceans driven by environmental influences. The study specifically focuses on the flow past a cylindrical object within such stratified flows, which introduces complexities involving buoyancy and viscous effects. A major focus of this research is the examination of the lattice Boltzmann method as a novel approach to model stratified flows around circular cylinders by solving coupled Navier-Stokes and advection-diffusion equations. The study investigates the impact of stratification on wake characteristics and various flow parameters for a single cylinder at six Reynolds numbers ranging from 10 to 600 and Froude numbers from 2.19 to 7.51. Additionally, the investigation includes the case of two cylinders arranged in tandem at a Reynolds number of 100, with similar Froude numbers. This research demonstrates the suitability and robustness of the lattice Boltzmann method in modeling stratified flows past cylinders. The findings reveal that even moderate levels of stratification can significantly influence the wake pattern, potentially leading to changes in the flow regime. Moreover, the study demonstrates that the introduction of stratification is associated with a reduction in the drag coefficient and shedding frequency, leading to altered flow behaviors. Furthermore, in the case of flow past two cylinders, the presence of stratification increases the critical spacing between the cylinders.
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Maddahi, N. (2023). Application of lattice Boltzmann method for simulating stably stratified flows past cylinders (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca.