Multiscale turbulence is a class of turbulent flows in which the chaotic motion of the fluid is forced at different length and/or time scales. This is usually achieved by immersing in a moving fluid a body with a multiscale, often fractal-like, arrangement of length scales. This arrangement of scales can be either passive or active As turbulent flows contain eddies with a wide range of scales, exciting the turbulence at particular scales (or range of scales) allows one to fine-tune the properties of that flow. Multiscale turbulent flows have been successfully applied in different fields., such as: * Reducing acoustic noise from wings by modifying the geometry of spoilers; * Enhancing heat transfer from impinging jets passing through grids; * Reducing the vortex shedding intensity of flows past normal plates without changing the shedding frequency; * Enhancing mixing by energy-efficient stirring; * Improving flow metering and flow conditioning in pipes; * Improving combustion. Multiscale turbulence has also played an important role into probing the internal structure of turbulence. This sort of turbulence allowed researchers to unveil a novel dissipation law in which the parameter in is not constant, as required by the Richardson-Kolmogorov energy cascade. This new law can be expressed as , with , where and are Reynolds numbers based, respectively, on initial/global conditions (such as free-stream velocity and the object's length scale) and local conditions (such as the rms velocity and integral length scale). This new dissipation law characterises non-equilibrium turbulence apparently universally in various flows (not just multiscale turbulence) and results from non-equilibrium unsteady energy cascade. This imbalance implies that new mean flow scalings exist for free shear turbulent flows, as already observed in axisymmetric wakes (Wikipedia).
The "tangent plane" of the graph of a function is, well, a two-dimensional plane that is tangent to this graph. Here you can see what that looks like.
From playlist Multivariable calculus
Multivariable Calculus | Transformations of the plane.
Working towards a formula for change of variables in multiple integrals, we introduce the notion of a one to one transformation of the plane. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus | Multiple Integrals
SmoothLife with three scales, i.e. outer radii differing by factors of 3, similar to McCabe's multiscale Turing patterns. The rules on all three scales are the same, although they could also be different. Download from sourceforge available http://sourceforge.net/projects/smoothlife/ .
From playlist SmoothLife
Multivariable Calculus | Three equations for a line.
We present three equations that represent the same line in three dimensions: the vector equation, the parametric equations, and the symmetric equation. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Lines and Planes in Three Dimensions
Learning Multiscale Physics with Deep Neural Networks - Mallat - Workshop 2 - CEB T3 2018
Stephane Mallat (College de France/ENS) / 26.10.2018 Learning Multiscale Physics with Deep Neural Networks ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twitte
From playlist 2018 - T3 - Analytics, Inference, and Computation in Cosmology
14_9 The Volume between Two Functions
Calculating the volume of a shape using the double integral. In this example problem a part of the volume is below the XY plane.
From playlist Advanced Calculus / Multivariable Calculus
Turbulence: Arrow of time & equilibrium-nonequilibrium behaviour by Mahendra Verma
PROGRAM THERMALIZATION, MANY BODY LOCALIZATION AND HYDRODYNAMICS ORGANIZERS: Dmitry Abanin, Abhishek Dhar, François Huveneers, Takahiro Sagawa, Keiji Saito, Herbert Spohn and Hal Tasaki DATE : 11 November 2019 to 29 November 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore How do is
From playlist Thermalization, Many Body Localization And Hydrodynamics 2019
Multiscale flows in an highly viscous fluids by Shankar Ghosh
Stochastic Thermodynamics, Active Matter and Driven Systems DATE: 07 August 2017 to 11 August 2017 VENUE: Ramanujan Lecture Hall, ICTS Bangalore. Stochastic Thermodynamics and Active Systems are areas in statistical physics which have recently attracted a lot of attention and many intere
From playlist Stochastic Thermodynamics, Active Matter and Driven Systems - 2017
Worldwide Calculus: Multi-Component Functions of a Single Variable
Lecture on 'Multi-Component Functions of a Single Variable' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
From playlist Worldwide Multivariable Calculus
A Multi-Scale Approach to Global Ocean Climate Modeling
Multi-Scale approach to Global Ocean Climate Modeling
From playlist SIAM Conference on Geosciences 2015
Weinan E: "Machine learning based multi-scale modeling"
Machine Learning for Physics and the Physics of Learning 2019 Workshop II: Interpretable Learning in Physical Sciences "Machine learning based multi-scale modeling" Weinan E - Princeton University, Mathematics Abstract: We will discuss a general methodology for developing reliable and in
From playlist Machine Learning for Physics and the Physics of Learning 2019
Axel Målqvist: Localization of multiscale problems
The lecture was held within the framework of the Hausdorff Trimester Program Multiscale Problems: Workshop on Numerical Inverse and Stochastic Homogenization. (13.02.2017) We will present the Local Orthogonal Decomposition technique for solving partial differential equations with multisca
From playlist HIM Lectures: Trimester Program "Multiscale Problems"
Computational prediction technologies for turbulent flows by Charles Meneveau
Turbulence from Angstroms to light years DATE:20 January 2018 to 25 January 2018 VENUE:Ramanujan Lecture Hall, ICTS, Bangalore The study of turbulent fluid flow has always been of immense scientific appeal to engineers, physicists and mathematicians because it plays an important role acr
From playlist Turbulence from Angstroms to light years
Worldwide Calculus: Euclidean Space
Lecture on 'Euclidean Space' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
From playlist Multivariable Spaces and Functions
Building Drone Rotors - PART 1
We present a multi-part series covering the construction and testing of large multi-rotor propellers.
From playlist Drones
Multivariable Calculus: Cross Product
In this video we explore how to compute the cross product of two vectors using determinants.
From playlist Multivariable Calculus
Identifying Dominant Balance Physics from Data - Jared Callaham
This video illustrates a new algorithm to identify local dominant physical balance relations from multiscale spatiotemporal data. Title: Learning dominant physical processes with data-driven balance models Paper: https://arxiv.org/abs/2001.10019 Authors: Jared L. Callaham, J. Nathan Kut
From playlist Research Abstracts from Brunton Lab
DDPS | Machine Learning and Multi-scale Modeling
Description: Multi-scale modeling is an ambitious program that aims at unifying the different physical models at different scales for the practical purpose of developing accurate models and simulation protocols for properties of interest. Although the concept of multi-scale modeling is ver
From playlist Data-driven Physical Simulations (DDPS) Seminar Series
Professor Stéphane Mallat: "High-Dimensional Learning and Deep Neural Networks"
The Turing Lectures: Mathematics - Professor Stéphane Mallat: High-Dimensional Learning and Deep Neural Networks Click the below timestamps to navigate the video. 00:00:07 Welcome by Professor Andrew Blake, Director, The Alan Turing Institute 00:01:36 Introduction by Professo
From playlist Turing Lectures
11_2_1 The Geomtery of a Multivariable Function
Understanding the real-life 3D meaning of a multivariable function.
From playlist Advanced Calculus / Multivariable Calculus