Advanced Computational Fluid Dynamics I

ME2107

Course Outline

1. Basic Explanations of Fluid Mechanics, Heat Transfer and CFD 

· Fluid Kinematics and Dynamics

· Thermodynamics and Heat Transfer of Fluids

· Compressible and Incompressible Flows

· Mathematics of Governing Equations, Classification of PDEs

· Model Equations for Fluid Dynamics

· Advantages of Computational Fluid Dynamics

· Application of Computational Fluid Dynamics

· CFD Solution Procedure

2. Numerical Methods for PDE’s

· Introduction

· Finite Differences, Finite Volume, Finite Elements and Spectral Methods

· Difference Representation of PDE's

· Methods for Obtaining Finite-Difference Equations

· Methods of Irregular Meshes

· Stability Considerations

3. Grid Generation

· Introduction

· Geometry Modeling and Surface Grids

· Algebraic Mesh Generation

· Structured Meshes from Partial Differential Equations

· Automatic Generation of Unstructured Meshes

· Multi-Block Mesh Generation

· Domain Nodalization in Unstructured Grids

· Unstructured Grids by Advancing Front Method

· Unstructured Grids by Delaunay Triangulation

· Mesh Adaptation on Unstructured Grids

4. Implementation of Boundary and Initial Conditions   

· Introduction

· Initial Conditions for Steady and Unsteady Flows

· Solid Wall Boundary Condition for Flows and Heat Transfer

· Far Field in External and Inflow/Outflow in Internal Flows

· Wall's Temperature, Definite Heat Flux and Adiabatic Wall

· Axisymmetric Boundary Condition

· Boundary Between Blocks

5. Numerical Modeling for Steady and Unsteady Incompressible Flows

· Introduction

· Overview of Various Formulations of the Governing Equations

· Solution Approaches: Pressure Poisson, Projection, Artificial Compressibility Centered Schemes

· TVD and Riemann Solvers for Incompressible Flows

· Second and High-order Methods

6.  Numerical Modeling for Steady and Unsteady Compressible Flows

· Mathematical Properties of Hyperbolic Systems

· Conservation Laws

· Non-linearities and Shock Formation

· Artificial Viscosity

· Introduction to the Riemann Problem

· Lax-Wendroff Scheme

· McCormack's Scheme

· Method of Lines and Jameson's scheme

· Introduction to Godunov's Method

· Flux vector splitting Methods

· High-order and TVD Methods 

7. Classical Turbulence Modeling

· Introduction to Reynolds Averaged Navier Stokes Modeling

· Mixing Length Approaches

· One Equation Models

· Two Equations Models

· Reynolds Stress Transport Schemes

· Low-Re Modeling

· Transition Modeling Extensions

 

 

Course Outline in PDF

· 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.

· Wilcox, D. C., 1998, “Turbulence Modeling for CFD,” DCW Industries Inc.

References

· Project No.1

· Project No.2

· Project No.3

· Project No.4

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Projects

Phone: +98-25-3210-3599

Fax: +98-21-000000

E-mail: mk.moayyedi [at] qom.ac.ir