A new high-order method for the accurate simulation of incompressible wall-bounded flows

Lenaers P, Schlatter P, Brethouwer G, Johansson AV (2015)

Publication Type: Conference contribution

Publication year: 2015

Publisher: Springer Netherland

Book Volume: 20

Pages Range: 133-138

Conference Proceedings Title: ERCOFTAC Series

Event location: Dresden, DEU

ISBN: 9783319144474

DOI: 10.1007/978-3-319-14448-1_18

Abstract

A new high-order method for the accurate simulation of incompressible wall-bounded flows is presented. In stream- and spanwise direction the discretisation is performed by standard Fourier series, while in wall-normal direction the method combines high-order collocated compact finite differences with the influence matrix method to calculate the pressure boundary conditions that render the velocity field divergence-free. The main advantage over Chebyshev collocation is that in wall normal direction, the grid can be chosen freely and thus excessive clustering near the wall is avoided. Both explicit and implicit discretisations of the viscous terms are described, with the implicit method being more complex, but also having a wider range of applications. The method is validated by simulating fully turbulent channel flow at friction Reynolds number Reτ=395, and comparing our data with existing numerical results. The results show excellent agreement proving that the method simulates all physical processes correctly.

Authors with CRIS profile

Philipp Schlatter

Involved external institutions

Royal Institute of Technology / Kungliga Tekniska Högskolan (KTH) SE Sweden (SE)

How to cite

APA:

Lenaers, P., Schlatter, P., Brethouwer, G., & Johansson, A.V. (2015). A new high-order method for the accurate simulation of incompressible wall-bounded flows. In Vincenzo Armenio, Jochen Frohlich, Hans Kuerten, Bernard J. Geurts (Eds.), ERCOFTAC Series (pp. 133-138). Dresden, DEU: Springer Netherland.

MLA:

Lenaers, Peter, et al. "A new high-order method for the accurate simulation of incompressible wall-bounded flows." Proceedings of the 9th International Conference on Direct and Large-Eddy Simulation, 2013, Dresden, DEU Ed. Vincenzo Armenio, Jochen Frohlich, Hans Kuerten, Bernard J. Geurts, Springer Netherland, 2015. 133-138.

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