Sathyabama Institute of Science and Technology B.E. - Automobile Engineering SMEA3003 Computational Fluid Dynamics Syllabus

[Arvind Kumar]

Sathyabama Institute of Science and Technology B.E. - Automobile Engineering SMEA3003 Computational Fluid Dynamics Syllabus

SATHYABAMA INSTITUTE OF SCIENCE AND TECHNOLOGY SCHOOL OF MECHANICAL ENGINEERING

SMEA3003 COMPUTATIONAL FLUID DYNAMICS
L T P Credits Total Marks
3 0 0 3 100

UNIT 1 INTRODUCTION 9 Hrs.
Historical Background-One dimensional Computations -Finite Difference Methods-Finite Element Methods - Finite Volume
Methods, Neumann Boundary Conditions,Dirichlet Boundary Conditions -Governing Equations-Classification of Partial
Differential Equations- Introduction to Navier-Stokes System of Equations, Comparison of numerical, analytical and
experimental.

UNIT 2 FINITE DIFFERENCE METHODS AND SOLUTIONS 9 Hrs.
Simple Methods -General Methods -Higher Order Derivatives- Multidimensional Finite Difference Formulas - Mixed
Derivatives –Non uniform Mesh- Higher Order Accuracy Schemes- Accuracy of Finite Difference Solutions-Elliptic
Equations- Parabolic Equations- Hyperbolic Equations- Burgers’ Equation- Coordinate Transformation for Arbitrary
Geometries.

UNIT 3 INCOMPRESSIBLE VISCOUS FLOWS AND COMPRESSIBLE FLOWS 10 Hrs.
Artificial Compressibility Method - Pressure Correction Methods -Semi-Implicit Method for Pressure-Linked Equations -
Pressure Implicit with Splitting of Operators -Marker-and-Cell Method -Vortex Methods -Potential Equation-Euler Equations-
Central Schemes with Combined Space and Independent Space-Explicit Schemes-Implicit Schemes-PISO Scheme for
Compressible Flows-Finite Difference Volume Equations.

UNIT 4 STRUCTURED AND UNSTRUCTURED GRID GENERATION 9 Hrs.
Algebraic Methods- PDE Mapping Methods- Unidirectional Interpolation- Multidirectional Interpolation-Domain Vertex
Method- Transfinite Interpolation Methods - PDE Mapping Methods- Control Functions-Hyperbolic Grid Generator-
Multiblock Structured Grid Generation- Delaunay-Voronoi Methods- Advancing Front Methods- Three-Dimensional
Applications- DVM in 3D- AFM in 3-D.

UNIT 5 COMPUTING TECHNIQUES AND APPLICATION 9 Hrs.
Domain Decomposition Methods- Multigrid Methods- Parallel Processing- Turbulence Models- Zero-Equation Models- One-
Equation Models -Two-Equation Models -Second Order Closure Models (Reynolds Stress Models) - Algebraic Reynolds
Stress Models -Compressibility Effects- Direct Numerical Simulation- RANS- LES.
Max.45 Hrs.

COURSE OUTCOMES
On completion of the course, student will be able to
CO1 - Understand the different methods used for heat transfer problems and the numerical errors associated with the
first order and second order.
CO2 - Derive discretisation equation using finite difference methods for heat transfer application.
CO3 - Derive compressible and incompressible equation for fluid flow problems
CO4 - Generate the grid required in the computational domain for solving the Navier-stroke equation
CO5 - Describe the various computing models and application
CO6 - Apply the knowledge gained in various heat transfer and fluid flow problems.

TEXT / REFERENCE BOOKS
1. Chung T.J, “Computational fluid dynamics”, Cambridge University press, 2nd edition, 2010.
2. Suhas V Patankar,“Numerical Heat Transfer and Fluid Flow”, Taylor and Francis, 2nd edition, 2017.
3. M. Ramakrishna, “Elements of Computational Fluid Dynamics”, Golden Jubilee Publication, 2011.
4. Anderson.J.D. “Computational Fluid Dynamics: An Introduction”, 3rd Edition, 2009.
5. Versteeg, H.K, and Malalasekera, W., “An Introduction to Computational Fluid Dynamics: The Finite Volume Method”,
Longman, 2nd edition, 2007.
6. Muralidhar, K., and Sundararajan, T., “Computational Fluid Flow and Heat Transfer”, Narosa Publishing House, New
Delhi, 2nd Edition 2014.

END SEMESTER EXAMINATION QUESTION PAPER PATTERN
Max. Marks: 100 Exam Duration: 3 Hrs.
PART A: 10 Questions of 2 marks each - No choice 20 Marks
PART B: 2 Questions from each unit of internal choice; each carrying 16 marks 80 Marks