A second-order volumetric boundary treatment for the lattice Boltzmann method
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914031128805376 |
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| author | Hoefnagel, Kaj Casalino, Damiano Hulshoff, Steven de Prenter, Frits |
| author_facet | Hoefnagel, Kaj Casalino, Damiano Hulshoff, Steven de Prenter, Frits |
| contents | A new volumetric-type boundary treatment is introduced for the lattice Boltzmann method. Populations are projected onto a discontinuous piecewise linear basis and streamed using an exact geometrical mapping. The method is implemented in 2D for convex, stationary geometries. Stability is verified through a novel analysis tool based on the eigenvalues of the streaming operation. A convergence rate of $\geq2$ is achieved, indicating improved accuracy over precursor methods. For flow around a 2D airfoil, the method yields better lift and drag predictions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_05035 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A second-order volumetric boundary treatment for the lattice Boltzmann method Hoefnagel, Kaj Casalino, Damiano Hulshoff, Steven de Prenter, Frits Computational Physics Fluid Dynamics A new volumetric-type boundary treatment is introduced for the lattice Boltzmann method. Populations are projected onto a discontinuous piecewise linear basis and streamed using an exact geometrical mapping. The method is implemented in 2D for convex, stationary geometries. Stability is verified through a novel analysis tool based on the eigenvalues of the streaming operation. A convergence rate of $\geq2$ is achieved, indicating improved accuracy over precursor methods. For flow around a 2D airfoil, the method yields better lift and drag predictions. |
| title | A second-order volumetric boundary treatment for the lattice Boltzmann method |
| topic | Computational Physics Fluid Dynamics |
| url | https://arxiv.org/abs/2509.05035 |