曲面边界界面网格细化的多域点阵玻尔兹曼方法

IF 7.2 2区物理与天体物理 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computer Physics Communications Pub Date : 2025-04-19 DOI:10.1016/j.cpc.2025.109637

MohammadAli Daeian , Punya Cheema , W. Spencer Smith , Zahra Keshavarz-Motamed

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引用次数: 0

摘要

多域网格细化是晶格玻尔兹曼方法（Lattice Boltzmann Methods， LBM）中一种著名的网格细化方法。然而，目前三维情况下的方法仅限于域间界面只能是具有直边界的曲面的问题，没有专门针对复杂曲面边界上的域界面情况的三维多域LBM方法。像这样复杂的几何形状在心血管系统的血流中经常被观察到。提出了一种基于LBM的曲面边界网格细化方法。该方法基于插值二阶壁面边界条件，结合一种新的基于图像的虚节点方法进行界面近壁面处理。结果表明，该方法具有二阶精度。该方法进一步应用于三个不同的病例：稳定的理想化狭窄血流、颈动脉分叉处的脉动血流和颅内动脉瘤的脉动血流。结果与每种情况下的单分辨率模拟进行了比较。对于这些案例中使用的分辨率，多域和精细单分辨率模拟之间的差异的相对L2范数为：狭窄中心的速度量级为0.005，分叉处的质量流量分裂为0.002，动脉瘤穹壁收缩峰值的壁面剪切应力为0.008。对于这些例子，与单分辨率模拟相比，该方法在分岔模拟中加速高达65%，在动脉瘤模拟中加速高达39%。

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A multi-domain lattice Boltzmann method for mesh refinement with curved boundary interfaces

Multi-domain grid refinement is a well-known method for mesh refinement in Lattice Boltzmann Methods (LBM). However, the method in three-dimensional cases is currently limited to problems in which the interface between domains can only be surfaces with straight boundaries, and no 3D multi-domain LBM method is specifically tailored for cases with domain interface on a complex curved boundary. Complex geometries like this are frequently observed in blood flow in cardiovascular systems. In this paper, an LBM multi-domain method was developed for grid refinement with curved boundary interfaces. The proposed method is based on using an interpolative second-order wall boundary condition in conjunction with a new image-based ghost node method for near-wall treatment at the interface. The method was verified to show second-order accuracy in space at the domain interface in a circular Poiseuille flow. The methodology was further employed in three different cases: steady idealized stenosis flow, pulsatile flow in the carotid bifurcation, and pulsatile flow in an intracranial aneurysm. The results were compared to single-resolution simulations for each case. For the resolutions used in these cases, the relative L² norm of the difference between the multi-domain and fine single-resolution simulation had the following values: 0.005 for velocity magnitude at the stenosis center, 0.002 for mass flowrate splitting in the bifurcation, and 0.008 for wall shear stress in peak systole in the aneurysm dome. For these examples, the method demonstrated up to 65 % speedup for the bifurcation simulation and 39 % speedup for the aneurysm simulation compared to single-resolution simulations.

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来源期刊

Computer Physics Communications 物理-计算机：跨学科应用

CiteScore

12.10

自引率

3.20%

发文量

287

审稿时长

5.3 months

期刊介绍： The focus of CPC is on contemporary computational methods and techniques and their implementation, the effectiveness of which will normally be evidenced by the author(s) within the context of a substantive problem in physics. Within this setting CPC publishes two types of paper. Computer Programs in Physics (CPiP) These papers describe significant computer programs to be archived in the CPC Program Library which is held in the Mendeley Data repository. The submitted software must be covered by an approved open source licence. Papers and associated computer programs that address a problem of contemporary interest in physics that cannot be solved by current software are particularly encouraged. Computational Physics Papers (CP) These are research papers in, but are not limited to, the following themes across computational physics and related disciplines. mathematical and numerical methods and algorithms; computational models including those associated with the design, control and analysis of experiments; and algebraic computation. Each will normally include software implementation and performance details. The software implementation should, ideally, be available via GitHub, Zenodo or an institutional repository.In addition, research papers on the impact of advanced computer architecture and special purpose computers on computing in the physical sciences and software topics related to, and of importance in, the physical sciences may be considered.