A curved boundary treatment for discrete Boltzmann model of shallow water flows based on a partially saturated method
A curved boundary treatment for discrete Boltzmann model of shallow water flows based on a partially saturated method
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DOI：
10.1080/00221686.2023.2207525
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发表时间：
2023-05
影响因子：
2.3
通讯作者：
Yong Peng;Haichuan Du;Bo Wang
中科院分区：
文献类型：
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作者：
Yong Peng;Haichuan Du;Bo Wang
在本研究中，边界处理方案命名为部分饱和方法（PSM）被纳入到离散玻尔兹曼模型（DBM）浅水流动，以处理复杂的弯曲边界。该方法采用二维16层速度格式，并采用有限差分法求解控制方程。在此基础上，应用PSM-DBM对弯曲河道定常流、定常圆柱绕流、圆形水池射流强迫流和90°连续弯曲曲流四种情况进行了数值模拟。将模拟结果与实验结果和传统数值模拟结果进行了比较。研究表明，仿真结果与实验结果吻合良好。结果表明，PSM-DBM是稳定和准确的处理曲线边界。此外，PSM的实施是相对简单的，在处理固定的弯曲几何形状，很容易被纳入DBM浅水流动。总之，所提出的PSM-DBM可以广泛地应用于具有弯曲边界的流动。
In the present study, a boundary treatment scheme named the partially saturated method (PSM) is incorporated into the discrete Boltzmann model (DBM) for shallow water flows to deal with complex curved boundaries. In this PSM-DBM, the two-dimensional 16 velocity levels scheme is adopted and the finite difference method is used to solve the governing equation. Then, the PSM-DBM has been applied to simulate four cases, i.e. such as steady flow in a bending channel, the flow past a stationary cylinder, a jet-forced flow in a circular basin and flow in a meandering channel with 90° consecutive bends. The simulated results have been compared with the experiments and the simulation by traditional numerical simulation. The study shows that the agreement between simulation and experiments is good. It is demonstrated that the PSM-DBM is stable and accurate to deal with the curved boundaries. Moreover, the implementation of the PSM is relatively straightforward in treating stationary curved geometries and is easy to be incorporated into the DBM for shallow water flows. In conclusion, the proposed PSM-DBM can be used widely for flows with curved boundaries.