Numerical analysis | Functional analysis | Computational fluid dynamics
Fluid motion is governed by the Navier–Stokes equations, a set of coupled and nonlinearpartial differential equations derived from the basic laws of conservation of mass, momentumand energy. The unknowns are usually the flow velocity, the pressure and density and temperature. The analytical solution of this equation is impossible hence scientists resort to laboratory experiments in such situations. The answers delivered are, however, usually qualitatively different since dynamical and geometric similitude are difficult to enforce simultaneously between the lab experiment and the prototype. Furthermore, the design and construction of these experiments can be difficult (and costly), particularly for stratified rotating flows. Computational fluid dynamics (CFD) is an additional tool in the arsenal of scientists. In its early days CFD was often controversial, as it involved additional approximation to the governing equations and raised additional (legitimate) issues. Nowadays CFD is an established discipline alongside theoretical and experimental methods. This position is in large part due to the exponential growth of computer power which has allowed us to tackle ever larger and more complex problems. (Wikipedia).
B01 An introduction to numerical methods
Most differential equations cannot be solved by the analytical techniques that we have learned up until now. I these cases, we can approximate a solution by a set of points, by using a variety of numerical methods. The first of these is Euler's method.
From playlist A Second Course in Differential Equations
Differential Equations | Exact Equations and Integrating Factors Example 2
We give an example of converting a non-exact differential equation into an exact equation. We use this to solve the differential equation.
From playlist Numerical Methods for Differential Equations
Physics - Fluid Dynamics (4 of 25) Viscosity & Fluid Flow: Viscosity (Dynamic vs Kinematic)
Visit http://ilectureonline.com for more math and science lectures! In this video I will discuss the difference between dynamic and kinematics viscosity. Next video in this series can be seen at: https://youtu.be/V9aHmAWqsoA
From playlist PHYSICS 34 FLUID DYNAMICS
Systems of Nonlinear Equations (Example) | Lecture 34 | Numerical Methods for Engineers
Finds the fixed points of the Lorenz equations using Newton's method for a system of nonlinear equations. Join me on Coursera: https://www.coursera.org/learn/numerical-methods-engineers Lecture notes at http://www.math.ust.hk/~machas/numerical-methods-for-engineers.pdf Subscribe to my c
From playlist Numerical Methods for Engineers
Numerically Calculating Partial Derivatives
In this video we discuss how to calculate partial derivatives of a function using numerical techniques. In other words, these partials are calculated without needing an analytical representation of the function. This is useful in situations where the function in question is either too co
From playlist Vector Differential Calculus
Physics 33 - Fluid Statics (1 of 10) Pressure in a Fluid
Visit http://ilectureonline.com for more math and science lectures! In this video I will show you how to calculate the pressure of an object in a fluid.
From playlist MOST POPULAR VIDEOS
Systems of Nonlinear Equations | Lecture 33 | Numerical Methods for Engineers
Newton's method for a system of nonlinear equations. Join me on Coursera: https://www.coursera.org/learn/numerical-methods-engineers Lecture notes at http://www.math.ust.hk/~machas/numerical-methods-for-engineers.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_conf
From playlist Numerical Methods for Engineers
Introductionadvanced hydraulics course structure
Advanced Hydraulics by Dr. Suresh A Kartha,Department of Civil Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist IIT Guwahati: Advanced Hydraulics | CosmoLearning.org Civil Engineering
How To Determine The VOLUME Flow Rate In Fluid Mechanics!! #Mechanical #Engineering #Fluids #Physics #NicholasGKK #Shorts
From playlist Mechanical Engineering
Peter Schröder - CS+Visualization - Alumni College 2016
"Schrödinger's Smoke" Peter Schröder, the Shaler Arthur Hanisch Professor of Computer Science and Applied and Computational Mathematics, conducts research in computer graphics, more specifically in geometric and physical modeling as used from computer animation to engineering simulations.
From playlist Talks and Seminars
(8.1) A General Approach to Nonlinear Differential Questions
This video briefly describes the approach to gaining information about the solution to nonlinear differential equations. https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
DDPS | The mathematical heart: a computational model for the simulation of the heart function
Mathematical models based on first principles can describe the interaction between electrical, mechanical and fluid-dynamical processes occurring in the heart, as well as the coupling with the external circulation. This is a classical multi-physics problem featuring multi-scale solutions i
From playlist Data-driven Physical Simulations (DDPS) Seminar Series
Instabilities in fluid mechanics and convex integration - Francisco Mengual
Short Talks by Postdoctoral Members Topic: Instabilities in fluid mechanics and convex integration Speaker: Francisco Mengual Affiliation: Member, School of Mathematics Date: September 28, 2021
From playlist Mathematics
Petros Koumoutsakos - Alloys: Artificial Intelligence and Scientific Computing for Fluid Mechanics
Recorded 11 January 2023. Petros Koumoutsakos of Harvard University presents "Alloys: Artificial Intelligence and Scientific Computing for Fluid Mechanics" at IPAM's Explainable AI for the Sciences: Towards Novel Insights Workshop. Abstract: Over the last last thirty years we have experien
From playlist 2023 Explainable AI for the Sciences: Towards Novel Insights
PIC Math - Creating More Realistic Animation for Movies - Segment II
Prof. Joseph Teran of the Department of Mathematics at UCLA gives an overview of the numerical linear algebra and iterative method techniques that are used to simulate physical phenomena such as water, fire, smoke, and elastic deformations in the movie and gaming industries.
From playlist PIC Math 2015 - Industrial Math Case Studies
Alfio Quarteroni, Taking Mathematics to Heart - 30 ottobre 2019
https://www.sns.it/it/evento/taking-mathematics-to-heart Taking Mathematics to Heart Alfio Quarteroni (Politecnico di Milano, Italia, Ecole Polytechnique Fédérale de Lausanne (EPFL), Switzerland (professor emeritus)) Abstract In this presentation I will highlight the interplay between da
From playlist Colloqui della Classe di Scienze
Understanding Laminar and Turbulent Flow
Be one of the first 200 people to sign up to Brilliant using this link and get 20% off your annual subscription! https://brilliant.org/efficientengineer/ There are two main types of fluid flow - laminar flow, in which the fluid flows smoothly in layers, and turbulent flow, which is charac
From playlist Fluid Mechanics
Nearly time-periodic water waves - Jon Wilkening
Jon Wilkening University of California, Berkeley February 25, 2014 We compute new families of time-periodic and quasi-periodic solutions of the free-surface Euler equations involving extreme standing waves and collisions of traveling waves of various types. A Floquet analysis shows that ma
From playlist Mathematics
The Incorrect Assumption Made by Fluid Dynamics, and Why It Still Works - Fluids by Parth G
Here's how scientists study how fluids flow! A fluid is any substance that deforms continually under shear stress. More simply, it is anything that can flow. Therefore, the term "fluid" usually refers to liquids and gases. Fluid dynamics is an area of physics that deals with the flow of
From playlist Fluid Mechanics by Parth G
Wolfram Physics Project: Solving the Einstein Equations & Other PDEs Tuesday, Mar. 9, 2021
This is a Wolfram Physics Project working session on solving the Einstein equations and other PDE's in the Wolfram Model. Begins at 1:18 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check ou
From playlist Wolfram Physics Project Livestream Archive