Introduction

Index Notation

Base Fortran90 Code

Solver

Driven Cavity Results

Periodic Boundary Conditions

Periodic Boundary Condition Results

Periodic Boundary Condition Code

Pressure Boundary Conditions

Pressure Boundary Condition Code

Symmetry Boundary Conditions

Symmetry Boundary Condition Code

Symmetry Boundary Condition Results

Modifications to Base Code

Driven Cavity Results

Blended 1st Order Upwind and Second Order Central Interpolation

Added Unsteady Terms

Addition of Terms to Base Code

Shedding From a Square Cylinder in a Channel

Background Information

Implementation into Base Code

Channel Flow Results Using Mesh Clustering

Discretization of Energy Equation

Driven Cavity Results with Heat Transfer

Addition to Base Code

Buoyancy Using the Boussinesq Approximation

Boussinesq Approximation Results

Adding Boussinesq Approximation to the Code

Pressure Driven Flow

Buoyancy Driven Flow via Heat Source

Parallel Jets

RedBlack Iteration Scheme for LoopLevel Parallelization

RedBlack Poisson Solver with OpenMP Implementation

Collocated Variable Numerical Formulation

Running the Collocated Mesh Code for Driven Cavity

Driven Cavity Results Using ParaView

Collocated Variable Fortran Code Description

Preliminary Material

ReynoldsAveraging Process

Boussinesq Approximation

TwoEquation kepsilon Model

Viscous Sublayer and LogLaw Layer

Wall Function Approach

Implementation into CFD Code

Running the Code

Applicability of kepsilon model

Channel Flow Results

Commercial CFD Solvers

Fortran Code For Turbulent Channel Flow