Benchmark for scale-resolving simulation with curved walls: the Taylor Couette flow

Abstract Flow between rotating concentric cylinders, or the Taylor Couette flow, has been studied extensively because of its rich physics, ranging from axisymmetric steady laminar to fully developed turbulent flow. In present study, we advocate use this problem as a benchmark case for scale-resolving simulation, such large eddy simulation (LES) and direct numerical (DNS). The is attractive simple geometry, boundary conditions, complex physics involving wall-shear induced centrifugal instability. Unlike well-known channel curved wall boundary, it unnecessary add source term governing equations sustain A p-refinement study Re = 4000 performed first establish DNS data, including time history enstrophy, which can be used an accuracy resolution indicator evaluate methods, orders magnitude faster than using mean flow quantities Reynolds stresses solution quality. Finally, hp-refinement relative efficiency high-order schemes various accuracy.