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Immersed Boundary Methods: Historical Perspective and Future Outlook
Annual Review of Fluid Mechanics ( IF 27.7 ) Pub Date : 2022-09-24 , DOI: 10.1146/annurev-fluid-120720-022129
Roberto Verzicco 1, 2, 3
Affiliation  

Immersed boundary methods (IBMs) are versatile and efficient computational techniques to solve flow problems in complex geometric configurations that retain the simplicity and efficiency of Cartesian structured meshes. Although these methods became known in the 1970s and gained credibility only in the new millennium, they had already been conceived and implemented at the beginning of the 1960s, even if the early computers of those times did not allow researchers to exploit their potential. Nowadays IBMs are established numerical schemes employed for the solution of many complex problems in which fluid mechanics may account for only part of the multiphysics dynamics. Despite the indisputable advantages, these methods also have drawbacks, and each problem should be carefully analyzed before deciding which particular IBM implementation is most suitable and whether additional modeling is necessary. High–Reynolds number flows constitute one of the main limitations of IBMs owing to the resolution of thin wall shear layers, which cannot benefit from anisotropic grid refinement at the boundaries. To alleviate this weakness, researchers have developed IBM-compliant wall models and local grid refinement strategies, although in these cases possible pitfalls must also be considered.

中文翻译:

浸入式边界方法:历史视角与未来展望

浸入边界方法 (IBM) 是一种通用且高效的计算技术,用于解决复杂几何配置中的流动问题,同时保留笛卡尔结构化网格的简单性和高效性。尽管这些方法在 20 世纪 70 年代为人所知,并在新千年才获得可信度,但它们在 20 世纪 60 年代初就已经被构思和实施,即使当时的早期计算机不允许研究人员发挥其潜力。如今,IBM 已建立数值方案,用于解决许多复杂问题,其中流体力学可能仅解释多物理场动力学的一部分。尽管有无可争议的优点,这些方法也有缺点,在决定哪种特定的 IBM 实现最合适以及是否需要额外的建模之前,应该仔细分析每个问题。由于薄壁剪切层的分辨率,高雷诺数流构成 IBM 的主要限制之一,而薄壁剪切层无法从边界处的各向异性网格细化中受益。为了缓解这一弱点,研究人员开发了符合 IBM 标准的墙模型和局部网格细化策略,尽管在这些情况下也必须考虑可能的陷阱。
更新日期:2022-09-24
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