Traction profiles of the Turek benchmark and their relation to bifurcations for Navier Stokes fluids

Abstract: We present a consistent numerical study on the stability of the Navier-Stokes fluid in the confined flow around a cylinder. We performed the study within the Turek benchmark for Reynolds numbers up to 1000. The key outcome is that changes in the nature of flow regimes are driven by the upstream dynamics of the cylinder obstacle rather than by the downstream effect in the vortex wake. It turns out that the most sensitive indicator is the pointwise traction profile on the cylinder boundary. Another observation is in the case of laminar vortex shedding, where the multiple steady solutions differ from the global-in-time attractor, which appears to be unique and robust across a large range of Reynolds numbers. As an auxiliary contribution, we also discuss a weak (variational) formulation for traction computation, which offers practical advantages.

Computer scienceMathematics

Audience: researchers in the topic

Modelling of materials - theory, model reduction and efficient numerical methods (UNCE MathMAC)