A hybrid wavelet-based adaptive immersed boundary finite-difference lattice Boltzmann method for two-dimensional fluid-structure interaction
A hybrid wavelet-based adaptive immersed boundary finite-difference lattice Boltzmann method for two-dimensional fluid-structure interaction
复制标题
基于混合小波的二维流固耦合自适应浸没边界有限差分格子玻尔兹曼方法
DOI：
10.1016/j.jcp.2016.12.019
复制
发表时间：
2017
影响因子：
4.1
通讯作者：
Wang Z K
中科院分区：
文献类型：
--
作者：
Cui X W;Yao X L;Wang Z K
提出了一种基于小波变换的第二代自适应有限差分格子Boltzmann方法。在这种方法中，据我们所知，首先将自适应小波配置方法（AWCM）结合到FD-LBM中。根据基于密度分布函数小波幅值的网格加密准则，通过增删配点生成自适应稀疏网格。在稀疏网格上，用有限差分近似导数。为了消除在边界附近使用基于FD的导数近似的特殊处理，浸入边界方法（IBM）也被引入到FD-LBM。通过使用自适应技术，自适应代码需要更少的网格点相比，均匀网格代码。结果，可以提高计算效率。为了验证所提出的方法，一系列的测试用例，包括固定边界的情况下，移动边界的情况下，投资。计算结果与已有文献的计算结果吻合较好，验证了AWCM-IB-LBM方法的准确性和有效性。
A second generation wavelet-based adaptive finite-difference Lattice Boltzmann method (FD-LBM) is developed in this paper. In this approach, the adaptive wavelet collocation method (AWCM) is firstly, to the best of our knowledge, incorporated into the FD-LBM. According to the grid refinement criterion based on the wavelet amplitudes of density distribution functions, an adaptive sparse grid is generated by the omission and addition of collocation points. On the sparse grid, the finite differences are used to approximate the derivatives. To eliminate the special treatments in using the FD-based derivative approximation near boundaries, the immersed boundary method (IBM) is also introduced into FD-LBM. By using the adaptive technique, the adaptive code requires much less grid points as compared to the uniform-mesh code. As a consequence, the computational efficiency can be improved. To justify the proposed method, a series of test cases, including fixed boundary cases and moving boundary cases, are invested. A good agreement between the present results and the data in previous literatures is obtained, which demonstrates the accuracy and effectiveness of the present AWCM-IB-LBM.