An adaptive lattice Green's function method for external flows with two unbounded and one homogeneous directions
Tallennettuna:
| Julkaisussa: | arXiv.org (Feb 20, 2024), p. n/a |
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Cornell University Library, arXiv.org
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| Linkit: | Citation/Abstract Full text outside of ProQuest |
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| 001 | 2930081030 | ||
| 003 | UK-CbPIL | ||
| 022 | |a 2331-8422 | ||
| 035 | |a 2930081030 | ||
| 045 | 0 | |b d20240220 | |
| 100 | 1 | |a Hou, Wei | |
| 245 | 1 | |a An adaptive lattice Green's function method for external flows with two unbounded and one homogeneous directions | |
| 260 | |b Cornell University Library, arXiv.org |c Feb 20, 2024 | ||
| 513 | |a Working Paper | ||
| 520 | 3 | |a 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. | |
| 653 | |a Grid refinement (mathematics) | ||
| 653 | |a Circular cylinders | ||
| 653 | |a Algorithms | ||
| 653 | |a Finite volume method | ||
| 653 | |a Green's functions | ||
| 653 | |a Fourier series | ||
| 653 | |a Collocation methods | ||
| 700 | 1 | |a Colonius, Tim | |
| 773 | 0 | |t arXiv.org |g (Feb 20, 2024), p. n/a | |
| 786 | 0 | |d ProQuest |t Engineering Database | |
| 856 | 4 | 1 | |3 Citation/Abstract |u https://www.proquest.com/docview/2930081030/abstract/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |
| 856 | 4 | 0 | |3 Full text outside of ProQuest |u http://arxiv.org/abs/2402.13370 |