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Analytical prediction of reflection coefficients for wave absorbing layers in flow simulations of regular free-surface waves

机译：规则自由表面波流动模拟中吸波层反射系数的分析预测

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摘要

Undesired wave reflections, which occur at domain boundaries in flow simulations with free-surface waves, can be minimized by applying source terms in the vicinity of the boundary to damp the waves. Examples of such approaches are absorbing layers, damping zones, forcing zones, relaxation zones and sponge layers. A problem with these approaches is that the effectivity of the wave damping depends on the parameters in the source term functions, which are case-dependent and must be adjusted to the wave. The present paper presents a theory which analytically predicts the reflection coefficients and which can be used to optimally select the source term parameters before running the simulation. The theory is given in a general form so that it is applicable to many existing implementations. It is validated against results from finite-volume-based flow simulations of regular free surface waves and found to be of satisfactory accuracy for practical purposes.
机译：通过在边界附近应用源项以衰减波，可以最小化在使用自由表面波进行流动模拟时在域边界处发生的不希望有的波反射。这种方法的例子是吸收层，阻尼区，强迫区，松弛区和海绵层。这些方法的问题在于，波衰减的有效性取决于源项函数中的参数，这些参数取决于大小写，必须针对波进行调整。本文提出了一种理论，该理论可以分析性地预测反射系数，并且可以用于在运行模拟之前最佳地选择源项参数。该理论以一般形式给出，因此适用于许多现有的实现。它已针对常规自由表面波基于有限体积的流模拟结果进行了验证，并被发现具有实用的令人满意的精度。

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