Abstract
Flow around cylinders is a classic issue of fluid mechanics and it has great significance in engineering fields. In this study, a two-dimensional hydrodynamic lattice Boltzmann numerical model is proposed, coupling wave radiation stress, bed shear stress, and wind shear stress, which is able to simulate wave propagation of flow around cylinders. It is based on shallow water equations and a weight factor is applied for the force term. An enhanced equilibrium Bhatnagar-Gross-Krook (BGK) scheme is developed to treat the wave radiation stress term in collision step. This model is tested and verified by two cases: the first case is the flow around a single circular cylinder, where the flow is driven by current, wave, or both wave and current, respectively, and the second case is the solitary waves moving around cylinders. The results illustrate the correctness of this model, which could be used to analyze the detailed flow pattern around a cylinder.
Highlights
The phenomena of flow around cylinders, which represent blunt bodies, widely exist in aviation, mechanical, and environmental engineering
lattice Boltzmann method (LBM) has many advantages: the algorithm is simple; it can deal with complicated boundary conditions; and it is suitable for parallel processing
In (3), the wave radiation stresses Sxx, Sxy, Syx, and Syy are determined via local wave parameters
Summary
The phenomena of flow around cylinders, which represent blunt bodies, widely exist in aviation, mechanical, and environmental engineering. An increasing number of problems about complex flow around cylinders have been raised with the development of coastal engineering projects. This topic attracts much attention among researchers. LBM has many advantages: the algorithm is simple; it can deal with complicated boundary conditions; and it is suitable for parallel processing. These superiorities lead to wide usage of LBM in many research fields. In this study, considering wave-current interaction, a two-dimensional hydrodynamic numerical model is developed based on the LBM. It is used to simulate the propagation of waves in the flow around cylinders, and two classic examples are used for validation, which can provide characteristics of flow around cylinders
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