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.
CITATION STYLE
Bernal, F., Heryudono, A. R. H., & Larsson, E. (2017). Numerical Solution of the Viscous Flow Past a Cylinder with a Non-global Yet Spectrally Convergent Meshless Collocation Method. In Lecture Notes in Computational Science and Engineering (Vol. 119, pp. 495–507). Springer Verlag. https://doi.org/10.1007/978-3-319-65870-4_35
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