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Hydrodynamic Approximation for 2D Optical Turbulence: Statistical Distribution Symmetry
AbstractOptical turbulence is described in terms of multipoint probability density distribution functions (PDF) f n using the Lundgren–Monin–Novikov...
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Symmetry transformations of the vortex field statistics in optical turbulence
AbstractWe use the concept of gauge transformations in the proof of the invariance of the statistics of zero-vorticity lines in the case of the...
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Symmetry of the Lundgren–Monin–Novikov Equation for the Probability Distribution of the Vortex Field
AbstractPolyakov [Nuclear Phys. B, 396, 1993] proposed a program for expanding the group of symmetries of hydrodynamic models to the conformal...
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Congruences of World Lines
Material particles and photons are of paramount importance in constructing and analysing models of gravitational fields in general relativity. Their...
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Existence of gradient CKV and gradient conformally stationary LRS spacetimes
In this work, we study the existence of gradient (proper) CKVs in locally rotationally symmetric spacetimes (LRS), those CKVs in the space spanned by...
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ADM mass in warp drive spacetimes
What happens when a warp bubble has mass? This seemingly innocent question forces one to carefully formalize exactly what one means by a warp bubble,...
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Lagrangian Liutex
A Lagrangian version and an objective Lagrangian version of the Liutex, which has been introduced to identify and visualize vortices, are developed...
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Cross-Component Energy Transfer in Superfluid Helium-4
The reciprocal energy and enstrophy transfers between normal fluid and superfluid components dictate the overall dynamics of superfluid 4 He including...
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The Structure of Turbulent Flows
Coherent structures observed in experiments and DNS simulations are classified with the aid of the Minkowski functionals: volume, surface area, mean...
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Superfluid Drain Vortex
Drain vortices are among the most common vortices observed in everyday life, yet their physics is complex due to the competition of vorticity’s...
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Liutex and Third Generation of Vortex Definition and Identification
Vortices are ubiquitous in the universe, appearing in phenomena such as tornadoes, hurricanes, airplane tip vortices, and more. They serve as the...
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Numerical Solution of Stress Concentration Problems in Elastic-Plastic Bodies Under the Superposition of Finite Deformations
This paper deals with numerical simulations of the elasto-plastic behavior of isotropic materials undergoing large deformations. The attention is...
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Helical Vortex Lines in Axisymmetric Viscous Incompressible Fluid Flows
This paper considers the steady and unsteady swirling axisymmetric flows of a homogeneous viscous incompressible fluid. The possibility of the...
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Statistical Analysis for Liutex Growth in Flow Transition
In computational fluid dynamics, many researchers and textbooks accepted that vorticity is vortex. However, this is a misunderstanding of the tensors...
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Spontaneous self-constraint in active nematic flows
Active processes drive biological dynamics across various scales and include subcellular cytoskeletal remodelling, tissue development in...
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Initial Boundary Value Problems
This chapter first discusses the initial boundary value problems in the advection and diffusion equations. The corresponding schemes to deal with the...
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Introduction to Turbulence in Magnetized Plasmas
Turbulence is a complex manifestation of collective plasma behaviour. An introduction to turbulence with particular emphasis on magnetized plasmas is...
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Integral Invariant of Ideal Gas Flows behind a Detached Bow Shock
AbstractWe consider a steady flow of an ideal perfect gas formed in a supersonic homogeneous incoming flow behind a detached shock wave in front of a...
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Liutex and Third Generation of Vortex Definition and Identification
Liutex is a physical quantity like velocity, vorticity, pressure, temperature, etc., describing local fluid rotation or vortex, which was ignored for...