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

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Detalles Bibliográficos
Publicado en:	arXiv.org (Feb 20, 2024), p. n/a
Autor principal:	Hou, Wei
Otros Autores:	Colonius, Tim
Publicado:	Cornell University Library, arXiv.org
Materias:	Grid refinement (mathematics) Circular cylinders Algorithms Finite volume method Green's functions Fourier series Collocation methods
Acceso en línea:	Citation/Abstract Full text outside of ProQuest
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Descripción
Resumen:	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.
ISSN:	2331-8422
Fuente:	Engineering Database