Pressure of an incompressible Euler flow with a circular obstacle
This is a first attempt at representing the pressure of a solution of the incompressible Euler equations, representing a fluid flowing around a circular obstacle. As pointed out in a comment to a previous video on the Euler equations, one can express the Laplacian of the pressure in terms
From playlist Fluid dynamics (Euler and similar equations)
Derivation of Euler-Lagrange Equations | Classical Mechanics
The Euler-Lagrange equations describe how a physical system will evolve over time if you know about the Lagrange function. We assume that out of all the different paths a particle can take, it will be the one, where small deviations from the path won’t change the action too much. This is u
From playlist Particle Physics
Understanding the Euler Lagrange Equation
To understand classical mechanics it is important to grasp the concept of minimum action. This is well described with the basics of calculus of variations. In this lecture I explain how to derive the Euler Lagrange equation, which we will use later to solve problems in mechanics related
From playlist Multivariable Calculus
C36 Example problem solving a Cauchy Euler equation
An example problem of a homogeneous, Cauchy-Euler equation, with constant coefficients.
From playlist Differential Equations
In a shear flow, several layers of fluid move at different speeds, causing vortices (or eddies) to form where the layers touch each other. This simulation starts with horizontal layers, whose velocity has a small dependence on the x-coordinate. Colors depend on the vorticity of the velocit
From playlist Fluid dynamics (Euler and similar equations)
Lecture 11 | Introduction to Robotics
Lecture by Professor Oussama Khatib for Introduction to Robotics (CS223A) in the Stanford Computer Science Department. Professor Khatib shows a short video on The Robotic Reconnaissance Team, then begins lecturing on Dynamics. CS223A is an introduction to robotics which covers topics su
From playlist Lecture Collection | Introduction to Robotics
Differential Equations | Euler's Method
We derive Euler's method for approximating solutions to first order differential equations.
From playlist Mathematics named after Leonhard Euler
Solves the Euler differential equation. Join me on Coursera: Matrix Algebra for Engineers: https://www.coursera.org/learn/matrix-algebra-engineers Differential Equations for Engineers: https://www.coursera.org/learn/differential-equations-engineers Vector Calculus for Engineers: htt
From playlist Differential Equations
Francisco Crespo: Celestial mechanics and the full n-body problem
Assistant Professor Francisco Crespo from the University of Bío Bío's Department of Mathematics carries out research on continuous dynamical systems, with an emphasis on Hamiltonian dynamics and its intersection with geometric mechanics. Francisco visited SMRI in the second half of 2022 t
From playlist SMRI Interviews
Euler equations and Bernoulli equation
Lectures for Transport Phenomena course at Olin College. This video describes Euler's equations, Bernoulli's equation, and pressure changes across streamlines.
From playlist Lectures for Transport Phenomena course
Modelling Simulation and Control of a Quadcopter - MATLAB and Simulink Video
Free MATLAB Trial: https://goo.gl/yXuXnS Request a Quote: https://goo.gl/wNKDSg Contact Us: https://goo.gl/RjJAkE This session reviews how engineering and science students use software simulation tools to develop a deeper understanding of complex multidomain applications. A quadcopter UAV
From playlist MATLAB and Simulink Conference Talks
Holger Dullin: The Lagrange top and the confluent Heun equation
Abstract: The Lagrange Top (heavy symmetric rigid body with a fixed point) with an additional quadratic potential is described in global coordinates using a 7-dimensional Poisson structure. The set of critical values of the energy-momentum map has a rational parametrisation that is derived
From playlist Integrable Systems 9th Workshop
1. History of Dynamics; Motion in Moving Reference Frames
MIT 2.003SC Engineering Dynamics, Fall 2011 View the complete course: http://ocw.mit.edu/2-003SCF11 Instructor: J. Kim Vandiver License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 2.003SC Engineering Dynamics, Fall 2011
Linear Algebra 21g: Euler Angles and a Short Tribute to Leonhard Euler
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 3 Linear Algebra: Linear Transformations
The Flat Earth Equations of Motion
In this video we derive equations of motion (EoMs) for a rigid body that can rotate and translate in an inertial frame. These are referred to as the Flat Earth Equations of Motion as they can be used to describe an object that is moving on Earth if Earth is flat and not rotating. This fo
From playlist Flight Mechanics
09 Getting ready to simulate the world with XPBD
For the tutorial notes and the source html code and all other tutorials see https://matthias-research.github.io/pages/tenMinutePhysics/index.html In this tutorial I introduce general extended position based dynamics or XPBD, a simple and unbreakable method to simulate almost everything.
From playlist Position Based Dynamics
The Navigation Equations: Computing Position North, East, and Down
In this video we show how to compute the inertial velocity of a rigid body in the vehicle-carried North, East, Down (NED) frame. This is achieved by rotating the velocity expressed in the body frame through the Euler rotation sequence using the direction cosine matrix (DCM). This allows
From playlist Flight Mechanics
How to derive Euler's formula using differential equations! Free ebook http://bookboon.com/en/introduction-to-complex-numbers-ebook A somewhat new proof for the famous formula of Euler. Here is the famous formula named after the mathematician Euler. It relates the exponential with cosin
From playlist Intro to Complex Numbers
Lie Group Integrators for Animation and Control of Vehicles - Talk (2/4)
This video is a conference presentation of the paper "Lie Group Integrators for Animation and Control of Vehicles" given by Keenan Crane in August 2009 -- see http://keenan.is/nonholonomic for more information Lie Group Integrators for Animation and Control of Vehicles Marin Kobilarov, Ke
From playlist Lie Group Integrators Talk
A compressible Euler flow in a funnel
A while ago, I tried to simulate an Euler flow through a funnel, using the incompressible Euler equations. However, the simulation failed due to issues with the boundary conditions, which were probably due to the stream function-vorticity formulation of the equations. The simulation ended
From playlist Fluid dynamics (Euler and similar equations)