波在规则晶格弹性固体中传播的格子Boltzmann方法：理论分析和验证
Lattice Boltzmann Method for wave propagation in elastic solids with a regular lattice: Theoretical analysis and validation
摘要：
利用正则D2 Q9格点，对各向同性线弹性固体中波传播的单弛豫时间格子Boltzmann方法（LBM）进行了von Neumann稳定性分析和Chapman-Enskog分析.考虑了不同的边界条件：周期性，自由表面，刚性界面。提出了一种新颖的吸收层模型，以防止域边界处的虚假波反射。本方法进行评估，考虑几个测试用例。首先，一个空间高斯力调制的时间由一个Ricker小波被用作源。使用经典的傅立叶谱方法得到的结果进行比较。P波和S波都被证明是非常准确的预测。瑞利面波的情况下，然后解决检查的方法的准确性。
英文摘要：
The von Neumann stability analysis along with a Chapman-Enskog analysis is proposed for a single-relaxation-time lattice Boltzmann Method (LBM) for wave propagation in isotropic linear elastic solids, using a regular D2Q9 lattice. Different boundary conditions are considered: periodic, free surface, rigid interface. An original absorbing layer model is proposed to prevent spurious wave reflection at domain boundaries. The present method is assessed considering several test cases. First, a spatial Gaussian force modulated in time by a Ricker wavelet is used as a source. Comparisons are made with results obtained using a classical Fourier spectral method. Both P and S waves are shown to be very accurately predicted. The case of Rayleigh surface waves is then addressed to check the accuracy of the method.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
