Applied Ocean Physics and Engineering Department, Woods Hole Oceanographic Institution, Woods Hole, Massachusetts 02543, USA.
J Acoust Soc Am. 2012 Nov;132(5):EL364-70. doi: 10.1121/1.4754421.
An alternating direction implicit (ADI) three-dimensional fluid parabolic equation solution method with enhanced accuracy is presented. The method uses a square-root Helmholtz operator splitting algorithm that retains cross-multiplied operator terms that have been previously neglected. With these higher-order cross terms, the valid angular range of the parabolic equation solution is improved. The method is tested for accuracy against an image solution in an idealized wedge problem. Computational efficiency improvements resulting from the ADI discretization are also discussed.
提出了一种具有增强准确性的交替方向隐式（ADI）三维流体抛物线方程求解方法。该方法使用平方根亥姆霍兹算子分裂算法，保留了以前被忽略的交叉乘法算子项。通过这些高阶交叉项，改进了抛物线方程解的有效角范围。该方法通过在理想化楔形问题中的图像解来测试精度。还讨论了 ADI 离散化带来的计算效率提高。
