High performance computations of steady-state bifurcations in 3D incompressible fluid flows by Asymptotic Numerical Method
The Asymptotic Numerical Method is a very efficient continuation technique. Judicious usage of power series analysis increases computational efficiency. An HPC implementation of the resulting algorithm is presented in this paper. Its numerical efficiency enables to investigate problems out of reach until now. Span-wise symmetry breaking bifurcations in a symmetric sudden expansion channel.
asymptotic numerical method power series analysis 3d steady-state bifurcations path-following or continuation methods