Global stability of 180 ∘ -bend pipe flow with mesh adaptivity
2023; American Physical Society; Volume: 8; Issue: 11 Linguagem: Inglês
10.1103/physrevfluids.8.113903
ISSN2469-9918
AutoresDaniele Massaro, Valerio Lupi, Adam Peplinski, Philipp Schlatter,
Tópico(s)Plant Water Relations and Carbon Dynamics
ResumoWe explore the global stability of flow in a U-bend (180${}^{\ensuremath{\circ}}$-bend) and compare the results with those in an elbow (90${}^{\ensuremath{\circ}}$-bend) and toroidal pipes. These findings may have relevance for piping systems as well as bends in blood vessels. We identify a Hopf bifurcation at Re${}_{b}$=2528, which is consistent with the elbow flow but significantly lower than the torus, suggesting different underlying transition mechanisms in developing and periodic geometries. In our numerical approach, we utilize a novel method that employs adaptive meshes individually designed for the base flow, direct and adjoint disturbances, optimized for both efficiency and accuracy.
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