Publication: Numerical solution of the viscous flow past a cylinder with a non-global yet spectrally convergent meshless collocation method
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2017-08-22
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Springer
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Abstract
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.
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Proceeding of: 11th International Conference on Spectral and High-Order Methods (ICOSAHOM'16), June 27-July 1, 2016, Rio de Janeiro, Brazil.
Keywords
Numerical analysis, Computational fluid dynamics, Spectral methods
Bibliographic citation
Bittencourt M., Dumont N., Hesthaven J. (eds.) (2017). Spectral and high order methods for partial differential equations ICOSAHOM 2016: selected papers from the ICOSAHOM conference, June 27-July 1, 2016, Rio de Janeiro, Brazil. (Lecture Notes in Computational Science and Engineering, 119). Springer. Pp. 495-507.