Computational fluid dynamics | Numerical differential equations

Diffuse element method

In numerical analysis the diffuse element method (DEM) or simply diffuse approximation is a meshfree method. The diffuse element method was developed by B. Nayroles, G. Touzot and Pierre Villon at the Universite de Technologie de Compiegne, in 1992.It is in concept rather similar to the much older smoothed particle hydrodynamics. In the paper they describe a "diffuse approximation method", a method for function approximation from a given set of points.In fact the method boils down to the well-known moving least squares for the particular case of a global approximation (using all available data points). Using this function approximation method, partial differential equations and thus fluid dynamic problems can be solved. For this, they coined the term diffuse element method (DEM).Advantages over finite element methods are that DEM doesn't rely on a grid, and is more precise in the evaluation of the derivatives of the reconstructed functions. (Wikipedia).

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C07 Homogeneous linear differential equations with constant coefficients

An explanation of the method that will be used to solve for higher-order, linear, homogeneous ODE's with constant coefficients. Using the auxiliary equation and its roots.

From playlist Differential Equations

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Chemical Reactions (11 of 11) Stoichiometry: Grams to Liters of a Gas

Shows how to use stoichiometry to convert from grams of a substance to liters of a substance. A chemical reaction is a process that leads to the chemical change of one set of chemical substances to another. Chemical reactions encompass changes that only involve the positions of electrons

From playlist Chemical Reactions and Stoichiometry

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Diffusion Of Gases | Properties of Matter | Chemistry | FuseSchool

Diffusion Of Gases | Properties of Matter | Chemistry | FuseSchool Learn the basics about Diffusion of gases. How are gases diffused? What methods are used to diffuse gases? Find out more in this video! SUBSCRIBE to the FuseSchool YouTube channel for many more educational videos. Our t

From playlist CHEMISTRY

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C02 Reduction of order

The first method for solving second order linear ODE's uses reduction in order. In this method the second derivative is reduced to a first derivative in the dependent variable, which can usually be solved by separation of variables, or by introduction an integrating factor.

From playlist Differential Equations

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Diffusion equation (separation of variables) | Lecture 53 | Differential Equations for Engineers

Solution of the diffusion equation (heat equation) by the method of separation of variables. Here, the first step is to separate the variables. Join me on Coursera: https://www.coursera.org/learn/differential-equations-engineers Lecture notes at http://www.math.ust.hk/~machas/different

From playlist Differential Equations for Engineers

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Chemical Reactions (6 of 11) Quick Review 5 Types of Chemical Reactions

Gives a quickened easy overview of the five types of chemical reactions. A chemical reaction is a process that leads to the chemical change of one set of chemical substances to another. Chemical reactions encompass changes that only involve the positions of electrons in the forming and b

From playlist Chemical Reactions and Stoichiometry

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Diffusion equation | Lecture 52 | Differential Equations for Engineers

Derivation of the diffusion equation (same equation as the heat equation). Join me on Coursera: https://www.coursera.org/learn/differential-equations-engineers Lecture notes at http://www.math.ust.hk/~machas/differential-equations-for-engineers.pdf Subscribe to my channel: http://www.yo

From playlist Differential Equations for Engineers

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Numerical Homogenization by Localized Orthogonal Decomposition (Lecture 3) by Daniel Peterseim

DISCUSSION MEETING Multi-Scale Analysis: Thematic Lectures and Meeting (MATHLEC-2021, ONLINE) ORGANIZERS: Patrizia Donato (University of Rouen Normandie, France), Antonio Gaudiello (Università degli Studi di Napoli Federico II, Italy), Editha Jose (University of the Philippines Los Baño

From playlist Multi-scale Analysis: Thematic Lectures And Meeting (MATHLEC-2021) (ONLINE)

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Explicit Methods for Solving the Diffusion Equation | Lecture 69 | Numerical Methods for Engineers

Derivation of the forward-time centered-space (FTCS) method for solving the one-dimensional diffusion equation. 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

From playlist Numerical Methods for Engineers

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FEM@LLNL | Space-Time Hybridizable Discontinuous Galerkin with MFEM

Sponsored by the MFEM project, the FEM@LLNL Seminar Series focuses on finite element research and applications talks of interest to the MFEM community. On March 29, 2022, Tamas Horvath of Oakland University presented "Space-Time Hybridizable Discontinuous Galerkin with MFEM." Unsteady par

From playlist FEM@LLNL Seminar Series

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FEM@LLNL | An Efficient and Effective FEM Solver for Diffusion Equation with Strong Anisotropy

Sponsored by the MFEM project, the FEM@LLNL Seminar Series focuses on finite element research and applications talks of interest to the MFEM community. On December 13, 2022, Lin Mu of the University of Georgia presented "An Efficient and Effective FEM Solver for Diffusion Equation with St

From playlist FEM@LLNL Seminar Series

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Chemistry of Gases (35 of 40) Diffusion of Gases: Basics

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the basics of the diffusion of gases.

From playlist CHEMISTRY 10 THE CHEMISTRY OF GASES

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Wolfram Language for Materials Sciences Applications

We will discuss how the Wolfram Language can be used for modeling and analysis in the field of materials science. Examples will be included from the following topics: i The Molecule function in the Wolfram Language ii LatticeData and related functions iii Calculating percentage area of gra

From playlist Wolfram Technology Conference 2021

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Numerical Homogenization by Localized Orthogonal Decomposition (Lecture 1) by Daniel Peterseim

DISCUSSION MEETING Multi-Scale Analysis: Thematic Lectures and Meeting (MATHLEC-2021, ONLINE) ORGANIZERS: Patrizia Donato (University of Rouen Normandie, France), Antonio Gaudiello (Università degli Studi di Napoli Federico II, Italy), Editha Jose (University of the Philippines Los Baño

From playlist Multi-scale Analysis: Thematic Lectures And Meeting (MATHLEC-2021) (ONLINE)

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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"

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Modeling Multi-Physics with PDEs

In this talk, Oliver Ruebenkoenig describes how to build multi physics models in the Wolfram Language to simulate multiple interacting physical phenomena. It introduces a new partial differential equation (PDE) modeling language that makes it easy to set up both PDEs and boundary condition

From playlist Wolfram Technology Conference 2020

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The Vector Heat Method - SIGGRAPH 2019

The Vector Heat Method. Nicholas Sharp, Yousuf Soliman, and Keenan Crane. ACM Trans. on Graph. (2019) Paper: http://www.cs.cmu.edu/~kmcrane/Projects/VectorHeatMethod/paper.pdf Code: https://github.com/nmwsharp/vector-heat-demo This paper describes a method for efficiently computing paral

From playlist Research

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Andy Wathen: Preconditioning for Parallel-in-time

This talk consists of two parts, one elementary and one related to the solution of complicated systems of evolutionary partial differential equations. In the first part we show how preconditioning for all-at-once descriptions of linear time-dependent differential equations can defeat the e

From playlist Jean-Morlet Chair - Gander/Hubert

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C17 Non homogeneous higher order linear ODEs with constant coefficients

Explanation of the methods involved in solving a non-homogeneous, linear, ODE, with constant coefficients.

From playlist Differential Equations

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Tzanio Kolev - Meso and Macroscale Modeling 1 - IPAM at UCLA

Recorded 15 March 2023. Tzanio Kolev of Lawrence Livermore National Laboratory presents "Meso and Macroscale Modeling 1" at IPAM's New Mathematics for the Exascale: Applications to Materials Science Tutorials. Learn more online at: http://www.ipam.ucla.edu/programs/workshops/new-mathematic

From playlist 2023 New Mathematics for the Exascale: Applications to Materials Science Tutorials

Related pages

Computational fluid dynamics | Function approximation | Numerical analysis | Finite element method | Meshfree methods | Partial differential equation | Moving least squares