Vortex is the dominant flow structure in hydro-energy machinery, and its swirling features are mainly determined by the rigid rotation part of vorticity.
Chaoyue Wang +3 more
doaj +2 more sources
Non-uniqueness for the Transport Equation with Sobolev Vector Fields. [PDF]
We construct a large class of examples of non-uniqueness for the linear transport equation and the transport-diffusion equation with divergence-free vector fields in Sobolev spaces W1,p\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage ...
Modena S, Székelyhidi L.
europepmc +3 more sources
Analytical solutions of the radiative transport equation for turbid and fluorescent layered media. [PDF]
Accurate and efficient solutions of the three dimensional radiative transport equation were derived in all domains for the case of layered scattering media. Index mismatched boundary conditions based on Fresnel’s equations were implemented.
Liemert A, Reitzle D, Kienle A.
europepmc +2 more sources
Analytical solution of a non-homogeneous boundary-value problem for the transport equation in an earth to air energy exchanger by initial base analysis method [PDF]
In this paper, a one-dimensional time-dependent transport equation with inhomogeneous Dirichlet boundary conditions, often encountered in the study of an Earth to Air Energy Exchanger, is solved by a practical analytical method.
Landry Jean Pierre Gomat +1 more
doaj +2 more sources
Transport Equation for Small Systems and Nonadditive Entropy
The nonadditive entropy introduced by Tsallis in 1988 has been used in different fields and generalizes the Boltzmann entropy, extending the possibilities of the application of the statistical methods developed in the context of Mechanics.
Eugenio Megías +2 more
doaj +1 more source
Transport Equation of Kappa Distributions in the Heliosphere
In this paper, we develop the transport equation of kappa, the fundamental thermodynamic parameter that labels kappa distributions of particle velocities.
G. Livadiotis, D. McComas
semanticscholar +1 more source
Simulation for non-homogeneous transport equation by Nyström method
In this work we solve numerically the one-dimensional transport equation with semi-reflective boundary conditions and non-homogeneous domain. The proposed methodology consists of applying the Nyström method in order to discretize the integral formulation
Luana Lazzari +2 more
doaj +1 more source
Discretization of the 2D Convection–Diffusion Equation Using Discrete Exterior Calculus [PDF]
While the Discrete Exterior Calculus (DEC) discretization of the diffusive term of the Transport Equation is well understood, the DEC discretization of the convective term, as well as its stabilization, is an ongoing area of research.
Marco A. Noguez +3 more
doaj +1 more source
Visual Features and Their Own Optical Flow
Symmetries, invariances and conservation equations have always been an invaluable guide in Science to model natural phenomena through simple yet effective relations.
Alessandro Betti +6 more
doaj +1 more source
Quarkonium in-medium transport equation derived from first principles [PDF]
We use the open quantum system formalism to study the dynamical in-medium evolution of quarkonium. The system of quarkonium is described by potential nonrelativistic QCD while the environment is a weakly coupled quark-gluon plasma in local thermal ...
Xiaojun Yao, Thomas Mehen
semanticscholar +1 more source

