An efficient linearly-implicit velocity-correction scheme for quasi-3D incompressible flows
File(s)
Accepted version
Author(s)
Wustenberg, Henrik
Sherwin, Spencer J
Peiro, Joaquim
Moxey, David
Type
Conference Paper
Abstract
The spectral/hp element method provides an efficient approach for implicit Large-Eddy Simulations (iLES) of incompressible flows. However, the simulation of highly-resolved incompressible flow on industrial geometries is often limited by computational resources. This is particularly severe in advection-dominated flows where high Reynolds numbers cause strong stability restrictions on the maximum-allowable time step size and, thus, significantly increase the time-to-solution. This issue renders algorithms like velocity-correction Schemes inefficient due to their explicit treatment of the advection terms. In an effort to reduce computational costs for industrial geometries, we investigate a velocity-correction scheme with linearly-implicit treatment of the advection terms based on the work of [6, 19]. We consider an extension of this work to determine the possible efficiency gain in quasi-3D simulations where one resolves the three-dimensional nature of the flow whilst reducing computational cost through the assumption of a homogeneous/spectral dimension. This algorithm gains efficiency by treating only the mean-mode of each velocity component implicitly while treating higher-frequency modes explicitly. Thus, the algorithm stabilises the computation by making the bulk of the energy implicit. Initial results show that the scheme is capable of a strong improvement in stability. The present paper present our progress along with numerical tests.
Date Issued
2025-11-01
Date Acceptance
2024-05-28
Citation
Lecture Notes in Computational Science and Engineering, 2025, 142, pp.419-435
ISBN
978-3-031-76987-0
ISSN
1439-7358
Publisher
Springer Verlag
Start Page
419
End Page
435
Journal / Book Title
Lecture Notes in Computational Science and Engineering
Volume
142
Copyright Statement
© 2025 The Author(s), under exclusive license to Springer Nature Switzerland AG. This is the author’s accepted manuscript made available under a CC-BY licence in accordance with Imperial’s Research Publications Open Access policy (www.imperial.ac.uk/oa-policy)
License URL
Source
ICOSAHOM 2023
Publication Status
Published
Start Date
2023-08-14
Finish Date
2023-08-18
Coverage Spatial
Seoul, Korea
Date Publish Online
2025-11-01