Introduction to CFD

University of Qom

Department of Mechanical Engineering

Course Details

The material treated in Introduction to CFD, is at the introductory level. Students having successfully passed introduction to CFD should:

· Explain about characteristics of differential equations

· Explain about generation of suitable grid to solve governing equations

· Be familiar by stability and convergence behavior of governing fluid flow PDE's

· Apply the numerical approaches to solve some model partial differential equations

· Explain the appropriate techniques to solve governing equations of incompressible flows

Syllabus:

1. Basic Explanations of Computational Fluid Dynamics

What is Computational Fluid Dynamics?

Advantages of Computational Fluid Dynamics

Application of Computational Fluid Dynamics

CFD Solution Procedure

Numerical Solution-CFD Solver

Result Report and Visualization

2. Classification of PDE's and their Physical and Mathematical Characteristics

Introduction

Physical Classification

Mathematical Classification

Classification of Quasi-Linear Partial Differential Equations

General Behavior of the Different Class of PDE's

3. Discretization Methods

Introduction

Finite Differences

Difference Representation of PDE's

Methods for Obtaining Finite-Difference Equations

Introduction to Use of Irregular Meshes

Stability Considerations

4. Grid Generation

Introduction

Algebraic Methods

Differential Equations Methods

Unstructured Grid Schemes

5. Implementation of Initial and Boundary Conditions

Introduction

Initial Conditions for Steady and Unsteady Flows

Solid Wall Boundary Condition for Viscous and Inviscid Flows

Far Field in External and Inflow/Outflow in Internal Flows

Periodic Boundary Condition

Boundary Between Blocks

6. Some Model Equations and Their Solution Techniques

Wave Equation

Heat Equation

Laplace's Equation

Inviscid and Viscous Burgers Equation

6. Stability, Consistency and Convergence of Numerical Methods

Introductory Remarks

Von-Neumann Stability Analysis

Error Analysis

Multidimensional Problems

Artificial Viscosity

 

Course Outline in Pdf

To contact me:

Phone: 25-3210-3532

Fax: 555-555-5555

E-mail: mk.moayyedi@qom.ac.ir

References:

· Tannehill, J.C., Anderson, D.A., and Pletcher, R. H., “Computational Fluid Mechanics and Heat Transfer”, Taylor & Francis Ltd., 1997.

· Hoffmann, K., and Ghiang, S. T., “Computational Fluid Dynamics”, Engineering Education System, 2000.

· Anderson, J. D., “Computational Fluid Dynamics; the Basic with Applications”, McGraw-Hill Inc., 1995.

· Chung, T. J., “Computational Fluid Dynamics”, Cambridge University Press, 2002.

· Tu, J., Heng Yeoh, G., and Liu, C., “Computational Fluid Dynamics: A Practical Approach”, Elsevier Inc., 2008

Grading

· Projects: 60%

· Final Examination: 40%

· Extra Individual Project or Studying: 10%  + 100%