Robust Control Volume Finite Element Methods for Numerical Wave Tanks using Extreme Adaptive Anisotropic Meshes,International Journal for Numerical Methods in Fluids

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Robust Control Volume Finite Element Methods for Numerical Wave Tanks using Extreme Adaptive Anisotropic Meshes
International Journal for Numerical Methods in Fluids ( IF 1.7 ) Pub Date : 2020-05-27 , DOI: 10.1002/fld.4845
Lluis Via‐Estrem ₁ , Pablo Salinas ₁ , Zhihua Xie ₂ , Jiansheng Xiang ₁ , John‐Paul Latham ₁ , Steven Douglas ₃ , Ioan Nistor ₁ , Christopher Pain ₁

Affiliation

Multiphase inertia‐dominated ow simulations, and free surface ow models in particular, continue to this day to present many challenges in terms of accuracy and computational cost to industry and research communities. Numerical Wave Tanks (NWT) and their use for studying wave‐structure interactions are a good example. FEM with anisotropic meshes combined with dynamic mesh algorithms have already shown the potential to significantly reduce the number of elements and simulation time with no accuracy loss. However, mesh anisotropy can lead to mesh quality‐related instabilities. This paper presents a very robust FEM approach based on a CV discretisation of the pressure field for inertia dominated ows, which can overcome the typically encountered mesh quality limitations associated with extremely anisotropic elements. Highly compressive methods for the water‐air interface are used here. The combination of these methods is validated with multiphase free surface ow benchmark cases, showing very good agreement with experiments even for extremely anisotropic meshes, reducing by up to two orders of magnitude the required number of elements to obtain accurate solutions.

中文翻译：

使用极端自适应各向异性网格的数值波浪水池的鲁棒控制体积有限元方法

多相惯性主导的流动模拟，特别是自由表面流动模型，直到今天仍在向工业和研究团体提出精度和计算成本方面的许多挑战。数值波浪水池 (NWT) 及其在研究波浪结构相互作用中的应用就是一个很好的例子。具有各向异性网格与动态网格算法相结合的 FEM 已经显示出显着减少元素数量和模拟时间而不损失精度的潜力。然而，网格各向异性会导致与网格质量相关的不稳定性。本文提出了一种基于惯性主导流压力场 CV 离散化的非常稳健的 FEM 方法，该方法可以克服与极端各向异性元素相关的通常遇到的网格质量限制。这里使用了水-空气界面的高压缩方法。这些方法的组合在多相自由表面流基准案例中得到了验证，即使对于极其各向异性的网格也显示出与实验非常吻合，将获得准确解所需的元素数量减少了两个数量级。

更新日期：2020-05-27

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