基于非均匀矩形网格径向基函数近似的改进型格子波尔兹曼方法

IF 1.7 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS International Journal for Numerical Methods in Fluids Pub Date : 2024-06-24 DOI:10.1002/fld.5318
X. Hu, J. M. Bergadà, D. Li, W. M. Sang, B. An
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引用次数: 0

摘要

我们提出了一种基于径向基函数近似(RBF-LBM)的非均匀矩形网格的新型格子波尔兹曼方法。非均匀矩形网格是局部网格细化的良好选择,特别是对于壁边界和流动量变化密集的流动区域。这样可以减少网格单元总数,从而降低计算成本,提高计算效率。但非均匀矩形网格的网格结构已不再适用于基于著名的 BGK 碰撞流演化的经典晶格玻尔兹曼方法(CLBM)。因此,本研究受到插值补充 LBM(ISLBM)方法的启发。本手稿对 ISLBM 算法进行了改进,通过径向基函数近似代替拉格朗日插值方案,将其发展为一种新型 LBM 方法。新方法在稳态和非稳态周期解中都得到了验证。讨论了径向基函数近似与拉格朗日插值之间的比较。结果发现,新方法在计算精度和效率方面都有很好的表现。证明了非均匀矩形网格允许网格细化,同时获得精确的流动预测。
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A modified lattice Boltzmann approach based on radial basis function approximation for the non-uniform rectangular mesh

We have presented a novel lattice Boltzmann approach for the non-uniform rectangular mesh based on the radial basis function approximation (RBF-LBM). The non-uniform rectangular mesh is a good option for local grid refinement, especially for the wall boundaries and flow areas with intensive change of flow quantities. Which allows, the total number of grid cells to be reduced and so the computational cost, therefore improving the computational efficiency. But the grid structure of the non-uniform rectangular mesh is no longer applicable to the classic lattice Boltzmann method (CLBM), which is based on the famous BGK collision-streaming evolution. This is why the present study is inspired by the idea of the interpolation-supplemented LBM (ISLBM) methodology. The ISLBM algorithm is improved in the present manuscript and developed into a novel LBM approach through the radial basis function approximation instead of the Lagrangian interpolation scheme. The new approach is validated for both steady states and unsteady periodic solutions. The comparison between the radial basis function approximation and the Lagrangian interpolation is discussed. It is found that the novel approach has a good performance on computational accuracy and efficiency. Proving that the non-uniform rectangular mesh allows grid refinement while obtaining precise flow predictions.

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来源期刊
International Journal for Numerical Methods in Fluids
International Journal for Numerical Methods in Fluids 物理-计算机:跨学科应用
CiteScore
3.70
自引率
5.60%
发文量
111
审稿时长
8 months
期刊介绍: The International Journal for Numerical Methods in Fluids publishes refereed papers describing significant developments in computational methods that are applicable to scientific and engineering problems in fluid mechanics, fluid dynamics, micro and bio fluidics, and fluid-structure interaction. Numerical methods for solving ancillary equations, such as transport and advection and diffusion, are also relevant. The Editors encourage contributions in the areas of multi-physics, multi-disciplinary and multi-scale problems involving fluid subsystems, verification and validation, uncertainty quantification, and model reduction. Numerical examples that illustrate the described methods or their accuracy are in general expected. Discussions of papers already in print are also considered. However, papers dealing strictly with applications of existing methods or dealing with areas of research that are not deemed to be cutting edge by the Editors will not be considered for review. The journal publishes full-length papers, which should normally be less than 25 journal pages in length. Two-part papers are discouraged unless considered necessary by the Editors.
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Issue Information Cover Image Issue Information Semi‐implicit Lagrangian Voronoi approximation for the incompressible Navier–Stokes equations A new non‐equilibrium modification of the k−ω$$ k-\omega $$ turbulence model for supersonic turbulent flows with transverse jet
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