# VTU B.TECH Aeronautical-Engineering 2nd year SEMESTER – VII Syllabus For Computational fluid dynamics PDF 2022

### Get Complete Lecture Notes for Computational fluid dynamics on Cynohub APP

You will be able to find information about Computational fluid dynamics along with its Course Objectives and Course outcomes and also a list of textbook and reference books in this blog.You will get to learn a lot of new stuff and resolve a lot of questions you may have regarding Computational fluid dynamics after reading this blog. Computational fluid dynamics has 5 units altogether and you will be able to find notes for every unit on the CynoHub app. Computational fluid dynamics can be learnt easily as long as you have a well planned study schedule and practice all the previous question papers, which are also available on the CynoHub app.

All of the Topic and subtopics related to Computational fluid dynamics are mentioned below in detail. If you are having a hard time understanding Computational fluid dynamics or any other Engineering Subject of any semester or year then please watch the video lectures on the official CynoHub app as it has detailed explanations of each and every topic making your engineering experience easy and fun.

### Computational fluid dynamics Unit One

#### Module-1

Introduction: CFD Applications. Need for Parallel Computers in CFD algorithms. Models of flows. Substantial derivative, Divergence of velocity. Continuity, Momentum, and Energy Equations-Derivation in various forms. Integral versus Differential form of equations. Comments on governing equations. Physical boundary conditions. Forms of equations especially suitable for CFD work. Shock capturing, and shock fitting

### Computational fluid dynamics Unit Two

#### Module-2

Mathematical Behaviour of Partial Differential Equations: Classification of partial differential equations. Cramer Rule and Eigen value methods for classification. Hyperbolic, parabolic, and elliptic forms of equations. Impact of classification on physical and computational fluid dynamics. Case studies: steady inviscid supersonic flow, unsteady inviscid flow, steady boundary layer flow, and unsteady thermal conduction, steady subsonic inviscid flow.

### Computational fluid dynamics Unit Three

#### Module-3

Grid Generation and Adaptive Grids: Need for grid generation and Body-fitted coordinate system. Structured Grids-essential features. Structured Grid generation techniques- algebraic and numerical methods. Unstructured Grids-essential features. Unstructured Grid generation techniques- Delaunay-Voronoi diagram, advancing front method. Surface grid generation, multi-block grid generation, and meshless methods. Grid quality and adaptive grids. Structured grids adaptive methods and unstructured grids adaptive methods.

### Computational fluid dynamics Unit Four

#### Module-4

Discretisation & Transformation: Discretisation: Finite differences methods, and difference equations. Explicit and Implicit approaches. Unsteady Problem -Explicit versus Implicit Scheme. Errors and stability analysis. Time marching and space marching. Reflection boundary condition. Relaxation techniques. Alternating direction implicit method.Successive over relaxation/under relaxation. Second order Lax-Wendroff method, mid-point Leap frog method, upwind scheme, numerical viscosity, and artificial viscosity. Transformation: Transformation of governing partial differential equations from physical domain to computational domain. Matrices and Jacobians of transformation. Example of transformation. Generic form of the Governing flow equations in Strong Conservative form in the Transformed Space.

### Computational fluid dynamics Unit Five

#### Module-5

Finite Volume Technique and Some Applications: Spatial discretisation- cell centered and cell vertex techniques (overlapping control volume, duel control volume). Temporal discretisation- Explicit time stepping, and implicit time stepping. Time step calculation. Upwind scheme and high resolution scheme. Flux vector splitting, approximate factorisation. Artificial dissipation and flux limiters. Unsteady flows and heat conduction problems. Upwind biasing.

### Computational fluid dynamics Course Objectives

Know the basic equations of fluid dynamics, boundary layer and discretization. •Understand the source and vortex panel method. •Know about FDM, FVM and FEM.

### Computational fluid dynamics Course Outcomes

At the end of the course the student will be able to:1.CO1 :Differentiate the FDM, FVM and FEM 2.CO2: Perform the flow, structural and thermal analysis. 3.CO3: Utilize the discretization methods according to the application.

### Computational fluid dynamics Text Books

Applied Computational Fluid Dynamics-Gupta S.C
Computational Fluid Dynamics-John D. Anderson

### Computational fluid dynamics Reference Books

Computational Fluid Dynamics-An Introduction- John F. Wendt
Numerical Computation of Internal and External Flows-Charles Hirsch
Computational Fluid Dynamics for Engineers -Klaus A Hoffmann and SteveT. Chiang
Fundamentals of CFD -Tapan K. Sengupta