2013/11/30 by Liang Shi, Markus Rampp, Björn Hof +2 · 31 citations
Earth and Planetary Sciences · Engineering · Environmental Science · Mathematics · Physics and Astronomy · #Applied mathematics #Computational science #Computer science #Discretization #Distributed memory #Fluid Dynamics and Turbulent Flows #Fourier analysis #Fourier transform #Mathematical analysis #Mathematics #Meteorological Phenomena and Simulations #Nonlinear system #Parallel computing #Physics #Plant Water Relations and Carbon Dynamics #Pseudo-spectral method #Scalability #Shared memory #astro-ph.IM #physics.comp-ph
paper · pdf · doi:10.1016/j.compfluid.2014.09.021
published in Computers & Fluids 106, 1-11 (Elsevier BV) · 30 pages, 11 figures
arxiv created 2014/07/07 · openalex publication_date 2014/09/19 · arxiv updated 2014/10/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A hybrid-parallel direct-numerical-simulation method with application to turbulent Taylor-Couette flow is presented. The Navier-Stokes equations are discretized in cylindrical coordinates with the spectral Fourier-Galerkin method in the axial and azimuthal directions, and high-order finite differences in the radial direction. Time is advanced by a second-order, semi-implicit projection scheme, which requires the solution of five Helmholtz/Poisson equations, avoids staggered grids and renders very small slip velocities. Nonlinear terms are computed with the pseudospectral method. The code is parallelized using a hybrid MPI-OpenMP strategy, which is simpler to implement, reduces inter-node communications and is more efficient compared to a flat MPI parallelization. A strong scaling study shows that the hybrid code maintains very good scalability up to more than 20000 processor cores and thus allows to perform simulations at higher resolutions than previously feasible, and opens up the possibility to simulate turbulent Taylor-Couette flows at Reynolds numbers up to O(105). This enables to probe hydrodynamic turbulence in Keplerian flows in experimentally relevant regimes.