18AS62: Computational Fluid Dynamics AS Syllabus for BE 6th Sem 2018 Scheme VTU

Computational Fluid Dynamics detailed Syllabus for Aerospace Engineering (AS), 2018 scheme has been taken from the VTUs official website and presented for the VTU students. For Course Code, Subject Names, Teaching Department, Paper Setting Board, Theory Lectures, Tutorial, Practical/Drawing, Duration in Hours, CIE Marks, Total Marks, Credits and other information do visit full semester subjects post given below. The Syllabus PDF files can also be downloaded from the official website of the university.

For all other VTU AS 6th Sem Syllabus for BE 2018 Scheme, do visit VTU AS 6th Sem Syllabus for BE 2018 Scheme Subjects. The detailed Syllabus for computational fluid dynamics is as follows.

Course Objectives:

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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.

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.

Module 3

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.

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.

Course Outcomes:

Question paper pattern:

The question paper will have ten full questions carrying equal marks.
Each full question will be for 20 marks.
There will be two full questions (with a maximum of four sub- questions) from each module.
Each full question will have sub- question covering all the topics under a module.
The students will have to answer five full questions, selecting one full question from each module.

Text Books:

Applied Computational Fluid Dynamics Gupta . S.C Wiley, India 2019
Computational Fluid Dynamics John D. Anderson McGraw Hill 2013

Reference Books:

For detail Syllabus of all other subjects of BE 6th Sem Aerospace Engineering, visit (AS) 6th Sem Syllabus Subjects.

For all (CBSE & Non-CBSC) BE results, visit VTU BE all semester results direct links.

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