Computational Analysis and Simulation (ME 415)

2021 Spring
Faculty of Engineering and Natural Sciences
Mechatronics(ME)
3
6.00 / 6.00 ECTS (for students admitted in the 2013-14 Academic Year or following years)
Serhat Yeşilyurt syesilyurt@sabanciuniv.edu,
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English
Undergraduate
MATH202 MATH201
Formal lecture,Interactive lecture,Recitation
Interactive,Communicative,Project based learning,Simulation
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CONTENT

Focus of the course is on the state-of-the-art computational modeling techniques used in disciplines such as structural mechanics, fluid mechanics, heat transfer and electromagnetics. Emphasis is on the numerical solution methods of partial differential equations and their use in computational analysis and simulations for engineering design. There will be a number of case studies and examples to enhance the lectures with examples. Topics covered are: basic numerical methods for root-finding, solution of linear system of equations and ordinary-differential equations, finite-difference solution of parabolic, elliptic and hyperbolic partial- differential equations and finite-element solution of elliptic PDEs such as Poisson equation in 1D.

LEARNING OUTCOME

Demonstrate understanding and implementation of numerical solution algorithms applied to root finding problems.
Demonstrate understanding and implementation of numerical solution algorithms applied to solving linear systems of equations.
Demonstrate understanding of methods for finding eigenvalues and eigenvectors of matrices.
Demonstrate understanding and implementation of numerical solutions to of initial value problems.
Possess ability to model and analyze engineering problems governed by partial differential equations such as conduction, diffusion, beam and plate bending.
Select appropriate efficient and stable numerical solution method for the engineering problem at hand.
Demonstrate understanding and implementation of finite-difference methods for solution of boundary value problems and partial-differential equations.
Apply numerical methods to obtain approximate solutions to mathematical problems.
Demonstrate understanding of the role of error in numerical solutions
Demonstrate understanding of numerical methods for integration and differentiation

ASSESSMENT METHODS and CRITERIA

  Percentage (%)
Midterm 50
Participation 0
Individual Project 25
Homework 25

RECOMENDED or REQUIRED READINGS

Readings

Numerical Methods Using MATLAB, 4th ed, J.H. Mathews, K.D. Fink, Pearson, 2004.
Applied Numerical Methods for Engineers Using MATLAB and C, Schilling and Harris, Brooks & Cole, 2001
Finite Difference Methods for Ordinary and Partial Differential Equations, R.J. LeVeque, SIAM, 2007.
COMSOL modeling library, Comsol Inc (available online)