An adaptive lattice Green's function method for external flows with two unbounded and one homogeneous directions Article Swipe

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YOU? · · 2024 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2402.13370

We solve the incompressible Navier-Stokes equations using a lattice Green's function (LGF) approach, including immersed boundaries (IB) and adaptive mesh refinement (AMR), for external flows with one homogeneous direction (e.g. infinite cylinders of arbitrary cross-section). We hybridize a Fourier collocation (pseudo-spectral) method for the homogeneous direction with a specially designed, staggered-grid finite-volume scheme on an AMR grid. The Fourier series is also truncated variably according to the refinement level in the other directions. We derive new algorithms to tabulate the LGF of the screened Poisson operator and viscous integrating factor. After adapting other algorithmic details from the fully inhomogeneous case, we validate and demonstrate the new method with transitional and turbulent flows over a circular cylinder at $Re=300$ and $Re=12,000$, respectively.

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Homogeneous Lattice (music) Mathematics Statistical physics Physics Computer science Mathematical optimization Mathematical analysis Acoustics

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2402.13370
PDF: https://arxiv.org/pdf/2402.13370
OA Status: green
Related Works: 10
OpenAlex ID: https://openalex.org/W4392083708

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DOI: https://doi.org/10.48550/arxiv.2402.13370

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Title: An adaptive lattice Green's function method for external flows with two unbounded and one homogeneous directions

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Type: preprint

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Language: en

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Publication year: 2024

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Publication date: 2024-02-20

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Authors: Wei Hou, Tim Colonius

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Landing page: https://arxiv.org/abs/2402.13370

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PDF URL: https://arxiv.org/pdf/2402.13370

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OA URL: https://arxiv.org/pdf/2402.13370

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Concepts: Homogeneous, Lattice (music), Mathematics, Statistical physics, Physics, Computer science, Mathematical optimization, Mathematical analysis, Acoustics

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Cited by: 0

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