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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.

Details

1009240
Subject
Grid refinement (mathematics);
Circular cylinders;
Algorithms;
Finite volume method;
Green's functions;
Fourier series;
Collocation methods
Identifier / keyword
Fluid Dynamics; Computational Physics
URL
http://arxiv.org/abs/2402.13370
Title
An adaptive lattice Green's function method for external flows with two unbounded and one homogeneous directions
Author
Hou, Wei; Colonius, Tim
Publication title
arXiv.org; Ithaca
Publication year
2024
Publication date
Feb 20, 2024
Section
Physics (Other)
Publisher
Cornell University Library, arXiv.org
Source
arXiv.org
Place of publication
Ithaca
Country of publication
United States
University/institution
Cornell University Library arXiv.org
Publication subject
Biology, Statistics, Physics, Mathematics, Engineering--Electrical Engineering, Computers--Computer Engineering, Business And Economics--Banking And Finance
e-ISSN
2331-8422
Source type
Working Paper
Language of publication
English
Document type
Working Paper
Publication history
 
 
Online publication date
2024-02-22
Milestone dates
2024-02-20 (Submission v1)
Publication history
 
 
   First posting date
22 Feb 2024
ProQuest document ID
2930081030
Document URL
https://www.proquest.com/working-papers/adaptive-lattice-greens-function-method-external/docview/2930081030/se-2?accountid=208611
Full text outside of ProQuest
http://arxiv.org/abs/2402.13370
Copyright
© 2024. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Last updated
2024-02-23
Database
ProQuest One Academic