论文标题
使用抛物线方程方法处理倾斜流体固定接口的方法
Approaches for handling sloping fluid-solid interfaces with the parabolic equation method
论文作者
论文摘要
测试了几种用弹性抛物线方程处理倾斜流体 - 固定界面的方法。针对流体固体情况进行修改的单碎片方法对于某些问题来说是准确的，但是当界面上的对比度足够大并且有Scholte波时，会分解。当Scholte波沿着倾斜的界面传播时，保存能量的近似条件会破裂，但对于涉及渐进斜率，广泛的沉积物参数和冰盖的大量问题，否则表现良好。一种基于将流体层的部分视为具有低剪切速度的固体的方法，可准确处理Scholte波和广泛的沉积物参数，但是这种方法需要进一步发展。可变的旋转抛物线方程对于涉及频繁或连续变化的问题无效，但是对于大多数具有恒定斜率区域的测试用例，它提供了很高的精度。还测试了基于坐标映射和使用固体材料膜的方法，并在楼梯台阶的上升上进行了低剪切速度，并发现了近似于倾斜界面的近似值，并发现在某些情况下可以产生准确的结果。
Several methods for handling sloping fluid-solid interfaces with the elastic parabolic equation are tested. A single-scattering approach that is modified for the fluid-solid case is accurate for some problems but breaks down when the contrast across the interface is sufficiently large and when there is a Scholte wave. An approximate condition for conserving energy breaks down when a Scholte wave propagates along a sloping interface but otherwise performs well for a large class of problems involving gradual slopes, a wide range of sediment parameters, and ice cover. An approach based on treating part of the fluid layer as a solid with low shear speed handles Scholte waves and a wide range of sediment parameters accurately, but this approach needs further development. The variable rotated parabolic equation is not effective for problems involving frequent or continuous changes in slope, but it provides a high level of accuracy for most of the test cases, which have regions of constant slope. Approaches based on a coordinate mapping and on using a film of solid material with low shear speed on the rises of the stair steps that approximate a sloping interface are also tested and found to produce accurate results for some cases.
