Simulating propagation of acoustic waves via solving a system of three-coupled first-order linear differential equations using a k-space pseudo-spectral method is popular for biomedical applications, firstly because of availability of an open-source toolbox for implementation of this numerical approach, and secondly because of its efficiency. The k-space pseudo-spectral method is efficient, because it allows coarser computational grids and larger time steps than finite difference and finite element methods for the same accuracy. The goal of this study is to compare this numerical wave solver with an analytical solution to the wave equation using the Green's function for computing propagation of acoustic waves in homogeneous media. This comparison is done in the frequency domain. Using the k-Wave solver, a match to the Green's function is obtained after modifying the approach taken for including mass source in the linearised equation of continuity (conservation of mass) in the associated system of wave equations.
翻译:通过使用 k- 空间假光谱方法解决三相混合的第一阶线性线性方程式系统,模拟声波的传播,对于生物医学应用来说很受欢迎,首先因为有开放源工具箱可供使用,以便采用这一数字方法,其次因为其效率高。K- 空间伪光谱法是有效的,因为它允许使用粗化的计算网格和比有限差异和有限元素法更大的时间步骤来达到同样的精确度。本研究的目的是将这个数字波解答器与使用绿方函数用于计算同质媒体声波传播的波式分析解决方案相比较。这一比较是在频率域进行的。使用 k- Wave 解答器,在修改将质量源纳入相关波方方程式的连续线性方程式( 质量保护) 之后,可以取得与绿方函数的匹配。