7 papers
Review of Non-Equilibrium Thermodynamics And Statistical Mechanics of Vortex Gases in Tornado Theory
Pavel Bělík, Douglas P. Dokken, Mikhail M. Shvartsman
This work puts into mathematical, statistical mechanical, and thermodynamical context the initial stages of the genesis of tornado-like vortices with the aim to be consistent with…
Equilibrium Energy and Entropy of Vortex Filaments on a Cubic Lattice: A Localized Transformations Algorithm
Pavel Bělík, Eric Bibelnieks, Robert Laskowski +2
In this work we propose a new algorithm for the computation of statistical equilibrium quantities on a cubic lattice when both an energy and a statistical temperature are involved.…
On the axisymmetric steady incompressible Beltrami flows
Pavel Bělík, Xueqing Su, Douglas P. Dokken +2
In this paper, Beltrami vector fields in several orthogonal coordinate systems are obtained analytically and numerically. Specifically, axisymmetric incompressible inviscid steady…
Possible Implications of Self-Similarity for Tornadogenesis and Maintenance
Pavel Bělík, Brittany Dahl, Douglas Dokken +3
Self-similarity in tornadic and some non-tornadic supercell flows is studied and power laws relating various quantities in such flows are demonstrated. Magnitudes of the exponents…
Applications of vortex gas models to tornadogenesis and maintenance
Pavel Bělík, Douglas P. Dokken, Corey K. Potvin +2
Processes related to the production of vorticity in the forward and rear flank downdrafts and their interaction with the boundary layer are thought to play a role in tornadogenesis…
Possible Implications of a Vortex Gas Model and Self-Similarity for Tornadogenesis and Maintenance
Douglas P. Dokken, Kurt Scholz, Mikhail M. Shvartsman +4
We describe tornadogenesis and maintenance using the 3-dimensional vortex gas model presented in Chorin (1994) and developed further in Flandoli and Gubinelli (2002). We suggest th…
Fractal powers in Serrin's swirling vortex solutions
Pavel Bělík, Douglas P. Dokken, Kurt Scholz +1
We consider a modification of the fluid flow model for a tornado-like swirling vortex developed by J. Serrin, where velocity decreases as the reciprocal of the distance from the vo…