We present recent developments of the remeshed vortex particle-mesh method for simulating incompressible ﬂuid ﬂow. The presented method relies on a parallel higher-order FFT based solver for the Poisson equation. Arbitrary high order is achieved through regularization of singular Green’s function solutions to the Poisson equation and recently we have derived novel high order solutions for a mixture of open and periodic domains. With this approach the simulated variables may formally be viewed as the approximate solution to the ﬁltered Navier Stokes equations, hence we use the method for Large Eddy Simulation by including a dynamic subﬁlter-scale model based on test-ﬁlters compatible with the aforementioned regularization functions. Further the subﬁlter-scale model uses Lagrangian averaging, which is a natural candidate in light of the Lagrangian nature of vortex particle methods. A multiresolution variation of the method is applied to simulate the benchmark problem of the ﬂow past a square cylinder at Re = 22000 and the obtained results are compared to results from the literature.
|Number of pages||1|
|Publication status||Published - 2017|
|Event||70th Annual Meeting of the American Physical Society Division of Fluid Dynamics (DFD17) - Denver, United States|
Duration: 19 Nov 2017 → 21 Nov 2017
|Conference||70th Annual Meeting of the American Physical Society Division of Fluid Dynamics (DFD17)|
|Period||19/11/2017 → 21/11/2017|