A generating-absorbing boundary condition for dispersive waves,International Journal for Numerical Methods in Fluids

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A generating-absorbing boundary condition for dispersive waves
International Journal for Numerical Methods in Fluids ( IF 1.7 ) Pub Date : 2021-03-29 , DOI: 10.1002/fld.4982
Mart Borsboom ₁ , Niels G. Jacobsen ₁

Affiliation

The detailed modeling of free-surface waves and their interaction with bottom-mounted or floating structures requires large computational resources, which is why efficient boundary conditions with low spurious reflection are desirable. The present work presents a review of existing generating-absorbing boundary conditions (GABCs) for dispersive waves and their reflection characteristics. Hereafter, an adaptation of the classical Sommerfeld condition is proposed by using a depth-varying coefficient to improve absorption efficiency over a range of wave numbers. An analytical model is proposed to analyse the reflection characteristics for both propagating and evanescent modes, and a considerable improvement in comparison to the Sommerfeld condition is documented over a broad frequency range (reflection coefficients below 5% for nondimensional wave numbers in the range [0, 10]). The new boundary condition is implemented in OpenFoam

®

(waves2Foam) and the functioning for regular, irregular, solitary, and phase-focused waves is presented.

中文翻译：

色散波的产生-吸收边界条件

自由表面波及其与底部安装或浮动结构的相互作用的详细建模需要大量计算资源，这就是为什么需要具有低杂散反射的有效边界条件的原因。目前的工作回顾了现有的色散波的产生吸收边界条件 (GABC) 及其反射特性。此后，建议通过使用深度变化系数来改进经典 Sommerfeld 条件，以提高一系列波数上的吸收效率。提出了一个分析模型来分析传播和渐逝模式的反射特性，与 Sommerfeld 条件相比，在较宽的频率范围内有相当大的改进（对于 [0, 10] 范围内的无量纲波数，反射系数低于 5%）。新的边界条件在 OpenFoam 中实现