## Course Detail

 Course Name Computational Methods for Engineers Course Code 19AEE334 Program B. Tech. in Aerospace Engineering Year Taught 2019

### Syllabus

##### Unit 1

Introduction to Numerical Techniques: Numerical Methods – Round off and truncation errors – Approximations – Order of Convergence – Numerical interpolation. Application of concepts: Modelling friction in flows within constrained geometries – Generation of aerofoil geometries – Computation of a projectile trajectory

##### Unit 2

Solution techniques of a linear system of equations: Gauss elimination – Gauss-Jordan method– LU Decomposition – Iterative methods for linear systems. Solution of non-linear equations: Optimisation & NewtonRaphson methods. Application of concepts: Response of multi degree of freedom systems – Panel Method for Aerofoils – Optimisation of a parachute production cost.

##### Unit 3

Computational methods for ODEs: Eigen values – Single step methods – multi-step methods. Stability, consistency, accuracy and efficacy of these methods. Application of concepts: Dynamics of the linear simple pendulum – Dynamics of the non-linear simple pendulum – Modelling heat dissipation in turbine blades – Modelling the flow over flat plate geometry.

### Objectives and Outcomes

Course Objectives

• The objective of the course is to introduce students to the numerical techniques commonly used in solving engineering problems

Course Outcomes

• CO1: Given an engineering problem, understand the mathematical model required to describe the problem.
• CO2: Comprehend the physics represented by the mathematical model to select an appropriate method/algorithm.
• CO3: Apply the numerical solution method via a well-designed computer program.
• CO4: Analyse the numerical solutions that were obtained in regards to their accuracy and suitability for applications.

CO – PO Mapping

 PO/PSO/ CO PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12 PSO1 PSO2 PSO3 CO1 3 3 2 3 1 CO2 3 2 3 3 1 CO3 1 2 2 3 3 2 2 CO4 1 1 2 2 3 3 3 3 3 2

### Textbook / References

Textbook(s)

• S. C. Chapra, and R. P. Canale. Numerical methods for engineers. Boston: McGraw-Hill Higher Education, 2010.

Reference(s)

• S. P. Venkateshan, and P. Swaminathan. Computational methods in engineering. Elsevier, 2013.
• R. H. Landau, M. J. Paez and C. C. Bordeianu, Computational Physics -Problem Solving with Computers, WileyVCH, 2001.

Evaluation Pattern

 Assessment Internal External Periodical 1 (P1) 15 – Periodical 2 (P2) 15 – *Continuous Assessment (CA) 20 – End Semester – 50 *CA – Can be Quizzes, Assignment, Projects, and Reports.

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