Published December 15, 2024 | Published
Journal Article

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

  • 1. ROR icon California Institute of Technology

Abstract

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 [1], we validate and demonstrate the new method with transitional and turbulent flows over a circular cylinder at Re=300 and Re=12,000, respectively.

Copyright and License

© 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

Acknowledgement

This work was supported in part by The Boeing Company (CT-BA-GTA-1). We gratefully acknowledge computational allocations on the Stampede2, Stampede3, and Bridges-2 supercomputers awarded by the XSEDE program with allocation number CTS120005 and the ACCESS program with allocation number PHY230039. We would also like to acknowledge the help from Ke Yu and Benedikt Dorschner during the development of this algorithm.

Contributions

Wei Hou: Writing – original draft, Visualization, Validation, Software, Methodology, Investigation, Formal analysis, Data curation, Conceptualization. Tim Colonius: Writing – review & editing, Supervision, Software, Resources, Project administration, Methodology, Funding acquisition, Conceptualization.

Data Availability

Data will be made available on request.

Additional details

Created:
October 9, 2024
Modified:
October 9, 2024