Turbulence thread: the convection–viscosity competition inside the Navier–Stokes equations
jo_brandstetter · x · 2026-10-26
Continuing his turbulence thread, Johannes Brandstetter explains the competition inside the Navier–Stokes equations: the flow carries and deforms its own motion while viscosity fights to smooth out velocity differences.
He highlights the convection term (u·∇)u, which describes how the flow acts on itself—noting that even without complicated forcing, this term alone can make the flow extremely intricate. Foundational exposition of why turbulence emerges.
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