Computational Fluid Dynamics 2
Last updated 3/2022
MP4 | Video: h264, 720x1280 | Audio: AAC, 44.1 KHz
Language: English | Size: 1.02 GB | Duration: 2h 18m

Further Develop Your Own Working CFD Code: unsteady flows, energy equation, collocated variables, turbulence & more.

[b]What you'll learn[/b]

Implementation of additional types of boundary conditions

Implementation of second-order interpolation for convection terms

Coding for unsteady flows

Mesh clustering

Energy equation

Collocated variable approach

Two-equation turbulence modelling

[b]Requirements[/b]

Students should have completed my first course, An Introduction to Computational Fluid Dynamics, or have an equivalent understanding of the topic.

[b]Description[/b]

This course is a follow-up to my Introduction to Computational Fluid Dynamics course. In this course we extend the capabilities of the two-dimensional, incompressible Navier-Stokes solver developed in the first course to include enhancements such as unsteady flow capabilities, second-order and blended interpolations for the convection terms, pressure, symmetry, and periodic boundary conditions, mesh clustering, the energy equation, and perhaps other topics as deemed appropriate.All codes are written in Fortran90 and are available for download, as are the course notes. Upon successful completion of the course students should be able to develop their own codes or modify the available codes to solve problems of varying complexity. To get the maximum benefit from this course, I recommend that students complete the first course, or have an equivalent background.Recently added the description of a finite-difference-based Poisson solver using red/black iteration scheme with OpenMP for parallelization.Recently added a collocated grid approach to the finite volume formulation of the incompressible Navier-Stokes equations. In the collocated variable approach, the velocity control volumes are not staggered, but are coincident with the scalar control volumes. Although we limit our approach to structured Cartesian meshes, most commercial CFD solvers utilize a collocated variable approach using Cartesian velocity components on unstructured grids.A new section on two-equation k-epsilon turbulence modelling using wall functions has been added.The course is such that one can generally pick and choose which sections/lectures to watch.

Overview

Section 1: Introduction

Lecture 1 Introduction

Lecture 2 Index Notation

Lecture 3 Solver

Lecture 4 Base Fortran90 Code

Lecture 5 Driven Cavity Results

Section 2: Different Boundary Conditions

Lecture 6 Periodic Boundary Conditions

Lecture 7 Periodic Boundary Condition Code

Lecture 8 Periodic Boundary Condition Results

Lecture 9 Pressure Boundary Conditions

Lecture 10 Pressure Boundary Condition Code

Lecture 11 Pressure Boundary Condition Results

Lecture 12 Symmetry Boundary Conditions

Lecture 13 Symmetry Boundary Condition Code

Lecture 14 Symmetry Boundary Condition Results

Section 3: Higher Order Interpolation of Convection Terms

Lecture 15 Blended 1st Order Upwind and Second Order Central Interpolation

Lecture 16 Modifications to Base Code

Lecture 17 Driven Cavity Results

Section 4: Unsteady Flows

Lecture 18 Added Unsteady Terms

Lecture 19 Addition of Terms to Base Code

Lecture 20 Shedding From a Square Cylinder in a Channel

Section 5: Mesh Clustering

Lecture 21 Background Information

Lecture 22 Implementation into Base Code

Lecture 23 Channel Flow Results Using Mesh Clustering

Section 6: Energy Equation

Lecture 24 Discretization of Energy Equation

Lecture 25 Addition to Base Code

Lecture 26 Driven Cavity Results with Heat Transfer

Lecture 27 Buoyancy Using the Boussinesq Approximation

Lecture 28 Adding Boussinesq Approximation to the Code

Lecture 29 Boussinesq Approximation Results

Section 7: Additional Results

Lecture 30 Pressure Driven Flow

Lecture 31 Buoyancy Driven Flow via Heat Source

Lecture 32 Parallel Jets

Section 8: Miscellaneous Topics

Lecture 33 Red-Black Iteration Scheme for Loop-Level Parallelization

Lecture 34 Red-Black Poisson Solver with OpenMP Implementation

Section 9: Collocated Variable Approach to Finite Volume Method (on a Cartesian Mesh)

Lecture 35 Collocated Variable Numerical Formulation

Lecture 36 Collocated Variable Fortran Code Description

Lecture 37 Running the Collocated Mesh Code for Driven Cavity

Lecture 38 Driven Cavity Results Using ParaView

Section 10: K-Epsilon Turbulence Modelling

Lecture 39 Preliminary Material

Lecture 40 Reynolds-Averaging Process

Lecture 41 Boussinesq Approximation

Lecture 42 Two-Equation k-epsilon Model

Lecture 43 Viscous Sublayer and Log-Law Layer

Lecture 44 Wall Function Approach

Lecture 45 Implementation into CFD Code

Lecture 46 Fortran Code For Turbulent Channel Flow

Lecture 47 Running the Code

Lecture 48 Channel Flow Results

Lecture 49 Applicability of k-epsilon model

Lecture 50 Commercial CFD Solvers

University upper-division and beginning graduate-level engineering and mathematics students