Development and Performance Evaluation of Parallel Algorithms for Synthetic Seismograms

这个项目将开发并行算法来描述波传播中的问题。将考虑基于二维波动方程的一系列模型。这些是：i)波动的最简单表示，如由声波方程II)由空间位移的均匀公式描述的波传播所描述的，以及iii)相应的空间位移的非均匀公式。几何复杂的地下模型可以用后一种公式来研究。在每种情况下，都将实施基于有限差分近似的并行算法。对物理域的人工边界可以用阻尼边界层或数值吸收边界来代替。这些算法的准确性和效率将与它们的串行对应算法进行比较。此外，对于这些模型中的每一个，都将实施伪谱方法，该方法可能会有更高的精度。并将其精度和效率与有限差分解进行了比较。

This project will develop parallel algorithms for the description of problems in wave propagation. A series of models based on the two-dimensional wave equation will be considered. These are: i) the simplest representation of wave motion, as described by the acoustic wave equation ii) wave propagation described by the homogeneous formulation of the spatial displacements, and iii) the corresponding heterogeneous formulation for spatial displacement. Geometrically complex subsurface models can be investigated by the latter formulation. In each case parallel algorithms based on finite difference approximations will be implemented. The artificial boundaries to the physical domain can be replaced by a damping boundary layer or numerically absorbing boundaries. The accuracy and efficiency of the algorithms will be compared with their serial counterparts. Additionally, the pseudospectral method, which may be supposed to have greater accuracy, will be implemented for each of these models. Its accuracy and efficiency will be compared with the finite difference solutions.