论文标题
可变密度介质中声波传播的有效且稳定的有限差模型
Efficient and Stable Finite Difference Modelling of Acoustic Wave Propagation in Variable-density Media
论文作者
论文摘要
在本文中，我们考虑了以发散形式制定的声波方程的新的显式紧凑高阶差异方案的开发和分析，该方案通过具有可变的介质密度和声速的异质介质，广泛用于描述地震波传播。新方案在空间和二阶准确度上是紧凑的，时间是四阶的精度。该方案的紧凑性是通过所谓的合并有限差方法获得的，该方法利用空间衍生物的边界值，这些边界值是通过单方面有限差近似获得的。已经进行了经验稳定性分析，以获得醋栗液体液体（CFL）条件，该条件证实了新方案的条件稳定性。已经进行了四个数值示例，以验证新方案的收敛性和有效性。本文也验证了新方案与完美匹配的层边界条件的逼真的波传播问题的应用。
In this paper, we consider the development and analysis of a new explicit compact high-order finite difference scheme for acoustic wave equation formulated in divergence form, which is widely used to describe seismic wave propagation through a heterogeneous media with variable media density and acoustic velocity. The new scheme is compact and of fourth-order accuracy in space and second-order accuracy in time. The compactness of the scheme is obtained by the so-called combined finite difference method, which utilizes the boundary values of the spatial derivatives and those boundary values are obtained by one-sided finite difference approximation. An empirical stability analysis has been conducted to obtain the Currant-Friedrichs-Lewy (CFL) condition, which confirmed the conditional stability of the new scheme. Four numerical examples have been conducted to validate the convergence and effectiveness of the new scheme. The application of the new scheme to a realistic wave propagation problem with Perfect Matched Layer boundary condition is also validated in this paper as well.
