The viscous vortex domains (VVD) method is a mesh-free method of computational fluid dynamics for directly numerically solving 2D Navier-Stokes equations in Lagrange coordinates.It doesn't implement any turbulence model and free of arbitrary parameters.The main idea of this method is to present vorticity field with discrete regions (domains), which travel with diffusive velocity relatively to fluid and conserve their circulation. The same approach was used in Diffusion Velocity method of Ogami and Akamatsu, but VVD uses other discrete formulas (Wikipedia).
Symplectic Structures and Dynamics on Vortex Membranes - Boris Khesin
Boris Khesin University of Toronto; Member, School of Mathematics, Institute for Advanced Study January 25, 2012 We present a Hamiltonian framework for higher-dimensional vortex filaments (or membranes) and vortex sheets as singular 2-forms with support of codimensions 2 and 1, respectivel
From playlist Mathematics
Helmholtz Principle and Vortex Motion with @DrTrefor
Oxford Mathematician Dr Tom Crawford teaches @DrTrefor about Helmholtz' Principle and how it can be applied to calculate the motion of a vortex in 2D potential flow. Watch part 2 of the collaboration where @Dr. Trefor Bazett teaches me a little algebraic topology, specifically the funda
From playlist Interviews
Geometry of vortices on Riemann surfaces (Lecture 1) by Oscar García-Prada
PROGRAM: VORTEX MODULI ORGANIZERS: Nuno Romão (University of Augsburg, Germany) and Sushmita Venugopalan (IMSc, India) DATE & TIME: 06 February 2023 to 17 February 2023 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru For a long time, the vortex equations and their associated self-dual fie
From playlist Vortex Moduli - 2023
Geometry of vortices on Riemann surfaces (Lecture 2) by Oscar García-Prada
PROGRAM: VORTEX MODULI ORGANIZERS: Nuno Romão (University of Augsburg, Germany) and Sushmita Venugopalan (IMSc, India) DATE & TIME: 06 February 2023 to 17 February 2023 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru For a long time, the vortex equations and their associated self-dual fie
From playlist Vortex Moduli - 2023
Get access to extended and bonus videos on Nebula - https://nebula.tv/videos/the-efficient-engineer-understanding-viscosity-extended-version. In this video we take a look at viscosity, a key property in fluid mechanics that describes how easily a fluid will flow. But there's more too it t
From playlist Fluid Mechanics
Geometry of vortices on Riemann surfaces (Lecture 3) by Oscar García-Prada
PROGRAM: VORTEX MODULI ORGANIZERS: Nuno Romão (University of Augsburg, Germany) and Sushmita Venugopalan (IMSc, India) DATE & TIME: 06 February 2023 to 17 February 2023 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru For a long time, the vortex equations and their associated self-dual fie
From playlist Vortex Moduli - 2023
A tale of two dynamos: turbulent large-scale and small-scale dynamos by Pallavi Bhat
Abstract: Coherent magnetic fields are ubiquitous in the universe as in the Sun, stars, galaxies and galaxy clusters. The theory of turbulent dynamos is the leading paradigm to understand the origin of these magnetic fields. A particularly generic process in turbulent astrophysical system
From playlist ICTS Colloquia
Geometry of Vortices on Riemann Surfaces (Lecture 4) by Oscar García-Prada
PROGRAM: VORTEX MODULI ORGANIZERS: Nuno Romão (University of Augsburg, Germany) and Sushmita Venugopalan (IMSc, India) DATE & TIME: 06 February 2023 to 17 February 2023 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru For a long time, the vortex equations and their associated self-dual fie
From playlist Vortex Moduli - 2023
Non-uniqueness of Leray solutions of the forced Navier-Stokes equations - Dallas Albritton
Seminar in Analysis and Geometry Topic: Non-uniqueness of Leray solutions of the forced Navier-Stokes equations Speaker: Dallas Albritton Affiliation: Member, School of Mathematics Date: January 18, 2022
From playlist Mathematics
Thermalization in Hydrodynamical Systems by M.E. Brachet
Program Turbulence: Problems at the Interface of Mathematics and Physics (ONLINE) ORGANIZERS: Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (Indian Institute of Science, Bengaluru) DATE: 07 December 202
From playlist Turbulence: Problems at The Interface of Mathematics and Physics (Online)
Fluids, walls and vanishing viscosity – Helena Nussenzveig Lopes – ICM2018
Partial Differential Equations Invited Lecture 10.6 Fluids, walls and vanishing viscosity Helena Nussenzveig Lopes Abstract: The vanishing viscosity problem consists of understanding the limit, or limits, of solutions of the Navier–Stokes equations, with viscosity ν, as ν tends to zero.
From playlist Partial Differential Equations
Rupert Klein: Internal wave dynamics in the atmosphere, take-home messages - Lecture 3
Earth’s atmosphere hosts a rich spectrum of phenomena that involve interactions of a variety of processes across many length and time scales. A systematic approach to analyzing these scale dependent processes is a core task of theoretical meteorology and a prerequi- site to constructing re
From playlist Mathematical Physics
Valeria Banica: Dynamics of almost parallel vortex filaments
Abstract: We consider the 1-D Schrödinger system with point vortex-type interactions that was derived by R. Klein, A. Majda and K. Damodaran and by V. Zakharov to modelize the dynamics of N nearly parallel vortex filaments in a 3-D incompressible fluid. We first prove a global in time res
From playlist Mathematical Physics
Physical insights from a numerical simulation of the dissipative Euler flow by Takeshi Matsumoto
PROGRAM TURBULENCE: PROBLEMS AT THE INTERFACE OF MATHEMATICS AND PHYSICS ORGANIZERS Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (IISc, India) DATE & TIME 16 January 2023 to 27 January 2023 VENUE Ramanuj
From playlist Turbulence: Problems at the Interface of Mathematics and Physics 2023
[BOURBAKI 2019]Estimations pseudo-spectrales et stabilité des tourbillons plans - Gallay -16/10/2019
Gallay () / 16.11.2019 Estimations pseudo-spectrales et stabilité des tourbillons plans Lorsqu'on étudie la stabilité des écoulements parallèles ou tourbillonnaires en mécanique des fluides, on observe que les effets de transport renforcent considérablement la dissipation visqueuse. C
From playlist BOURBAKI - 2019
Vanishing Viscosity and Conserved Quantities for 2D Incompressible Flow by Helena Nussenzweig Lopes
Program Turbulence: Problems at the Interface of Mathematics and Physics (ONLINE) ORGANIZERS: Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (Indian Institute of Science, Bengaluru) DATE: 07 December 202
From playlist Turbulence: Problems at The Interface of Mathematics and Physics (Online)
Mod-01 Lec-15 Cascade analysis; Loss and Blade performance estimation
Jet Aircraft Propulsion by Prof. Bhaskar Roy and Prof. A. M. Pradeep, Department of Aerospace Engineering, IIT Bombay. For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist IIT Bombay: Aerospace - Jet Aircraft Propulsion (CosmoLearning Aerospace Engineering)
Convex Integration and Synthetic Turbulence - László Székelyhidi
Clay Research Conference Topic: Convex Integration and Synthetic Turbulence Speaker: László Székelyhidi Affiliation: Distinguished Visiting Professor, School of Mathematics Date: September 30, 2021 In the past decade convex integration has been established as a powerful and versatile
From playlist Mathematics
DDPS | Data-driven methods for fluid simulations in computer graphics
Fluid phenomena are ubiquitous to our world experience: winds swooshing through trembling leaves, turbulent water streams running down a river, and cellular patterns generated from wrinkled flames are some few examples. These complex phenomena capture our attention and awe due to the beaut
From playlist Data-driven Physical Simulations (DDPS) Seminar Series
Statistical Mechanics of Vortices by Nick Manton
PROGRAM: VORTEX MODULI ORGANIZERS: Nuno Romão (University of Augsburg, Germany) and Sushmita Venugopalan (IMSc, India) DATE & TIME: 06 February 2023 to 17 February 2023 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru For a long time, the vortex equations and their associated self-dual fie
From playlist Vortex Moduli - 2023