34 citations · 63 across the 20 of their papers we have counts for
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Leray self-similarity equations in fluid dynamics
F. Lam
In the present note, we show that, as a priori bounds, the vorticity dynamics derived from Leray's backward self-similarity hypothesis admits only trivial solution in viscous as we…
Remarks on singular solutions of the Euler equations
F. Lam
We examine the blow-up claims of the incompressible Euler equations for several specific flow-fields, (1) the columnar eddies in the vicinity of stagnation; (2) a quasi-three-dimen…
The Navier-Stokes equations in periodic domains
F. Lam
In the present technical note, we establish that the setting of the primitive variables of the unsteady incompressible fluid dynamics is ill-formulated in spatially periodic domain…
Viscous flow regimes in unit square: Part 4. Vorticity dynamics from monopoles to multipoles
F. Lam
The initial-boundary value problem of the vorticity equation has been solved numerically by an iterative method. A variety of initial vorticity distributions is specified. All of t…
Viscous flow regimes in unit square: Part 3. Phenomena of leapfrogging and approaching among multiple vortex pairs
F. Lam
In the present note, we solved numerically the viscous vorticity equation of the initial-boundary value problem describing the classic Helmholtz phenomena of vortex interaction. In…
Viscous flow regimes in a square. Part 1. Lid-driven cavity
F. Lam
In the present paper, we examine the viscous flow evolution in a square cavity. Coupled with the stream function, the initial-boundary value problem of the vorticity is numerically…
Viscous flow regimes in a square. Part 2. Impact and rebound process of vortex dipole-wall interaction
F. Lam
In this technical note, we demonstrate the robustness of our numerical scheme of vorticity iteration in dealing with the dipole-wall interaction at small viscosity, with emphasis o…