RT Conference Proceedings
T1 Numerical solution of the viscous flow past a cylinder with a non-global yet spectrally convergent meshless collocation method
A1 Bernal Martínez, Francisco Manuel
A1 Heryudono, Alfa R.H.
A1 Larsson, Elisabeth
AB The flow of a viscous fluid past a cylinder is a classical problem in fluid-structure interaction and a benchmark for numerical methods in computational fluid dynamics. We solve it with the recently introduced radial basis function-based partition of unity method (RBF-PUM), which is a spectrally convergent collocation meshless scheme well suited to this kind of problem. The resulting discrete system of nonlinear equations is tackled with a trust-region algorithm, whose performance is much enhanced by the analytic Jacobian which is provided alongside. Preliminary results up to Re = 60 with just 1292 nodes are shown.
PB Springer
SN 978-3-319-65869-8 (print)
SN 978-3-319-65870-4 (online)
YR 2017
FD 2017-08-22
LK https://hdl.handle.net/10016/32086
UL https://hdl.handle.net/10016/32086
LA eng
NO Proceeding of: 11th International Conference on Spectral and High-Order Methods (ICOSAHOM'16), June 27-July 1, 2016, Rio de Janeiro, Brazil.
NO F. Bernal acknowledges support from FCT grant SFRH/BPD/79986/2011 and INESC-ID. A. Heryudono is partially supported by NSF Grant DMS 1552238
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RD 17 jul. 2024