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    Introduction to Computational Fluid Dynamics(CFD)

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    Class Overview

    This class covers the mathematical and programming skills toward solving real world CFD problems. the reference of the course is `Computational Fluid Dynamics Vol. 1 by Hoffmann`. This course covers all necessary information to help student to have a solid background to solve their assignments and projects at CFD courses at university level.

    Additionally, this course will be project-based and many problems will be solved using programming languages such as python and Matlab. being able to model and code the real-world CFD problems will give student very solid understanding about how commercial CFD soft wares work.

    Engilsh, Persian

    basics of fluid mechanics basics of numerical analysis some basic knowledge about python or Matlab

    Curriculum for this class

    Taylor Series and numeircal derivatives

    The lesson begins with an in-depth exploration of the Taylor Series, a powerful mathematical tool for approximating functions through a series expansion. Participants will learn how to express a function as an infinite sum of its derivatives and evaluate the convergence properties of the series. The participant will work on real-world governing equations such as heat-transfer, wave-equation and descretize them numerically in different orders with help of taylor series.

    Classification of the Partial derivatives Equations

    In this lesson, participants will embark on a comprehensive exploration of the classification of Partial Differential Equations (PDEs) based on their types: Parabolic, Elliptic, and Hyperbolic. By the end of this lesson, participants will have a clear conceptual grasp of the classifications of PDEs, setting the stage for further exploration into numerical methods and advanced topics in Computational Fluid Dynamics.

    Finite Difference Formulation

    This lesson introduces the concept of Finite Difference Formulation, a fundamental technique in numerical analysis. Participants will explore how finite differences are applied to approximate derivatives and solve differential equations

    Stability Analysis

    This lesson focuses on Stability Analysis, a critical aspect in numerical methods, and specifically explores the Von Neumann method. Participants will delve into the principles of stability analysis and learn how the Von Neumann method is applied to assess the stability of numerical schemes in solving partial differential equations.

    Finite Volume Method

    This lesson provides a comprehensive introduction to the Finite Volume Method (FVM), a widely used numerical technique for solving partial differential equations (PDEs). Participants will gain insights into the principles of the FVM, its applications, and its role in simulating fluid flow and heat transfer problems.

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