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首页> 外文期刊>Ocean Engineering >A dynamic adaptation method based on unstructured mesh for solving sloshing problems
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A dynamic adaptation method based on unstructured mesh for solving sloshing problems

机译：基于非结构化网格的动态自适应方法解决晃荡问题

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摘要

A dynamic mesh-adaptation algorithm based on an unstructured mesh was used to solve sloshing problems by a finite element method. The free surface evolution of sloshing with a low filling ratio is so violent that a local mesh coarsening/refinement (LCR) technique can be effectively used to resolve the flow field near the interface of two immiscible fluids. Since an implicit discretization method was employed to solve the incompressible Navier-Stokes equations, an assembled global matrix was generated using a dynamic compressed sparse row (CSR) method. The proposed algorithm was validated by comparing the simulation results with those of a non adaptive method with respect to wall impact pressures and mass conservation. Numerical results showed that relative mass error strongly depends on mesh resolution near the interface. Results of adaptive simulations were found to be comparable with those of non-adaptive simulations only if a similar mesh resolution was used near the interface. Moreover, adaptive simulations were about two times faster than the non-adaptive ones. The effect of the adaptive zone and smoothing zone on the impact pressure was also examined for the proposed algorithm.
机译：采用基于非结构化网格的动态网格自适应算法，通过有限元方法求解晃荡问题。低填充率的晃荡自由表面非常剧烈，以至于局部网格粗化/细化（LCR）技术可以有效地用于解决两种不混溶流体界面附近的流场。由于采用隐式离散化方法求解不可压缩的Navier-Stokes方程，因此使用动态压缩的稀疏行（CSR）方法生成了一个已组装的全局矩阵。通过将仿真结果与非自适应方法的仿真结果进行比较，从而验证了所提出的算法在壁碰撞压力和质量守恒方面的有效性。数值结果表明，相对质量误差很大程度上取决于界面附近的网格分辨率。仅在界面附近使用相似的网格分辨率时，才发现自适应仿真的结果与非自适应仿真的结果相当。此外，自适应仿真的速度比非自适应仿真快大约两倍。对于所提出的算法，还研究了自适应区域和平滑区域对冲击压力的影响。

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