Computational Analysis and Simulation (ME 515)

2021 Spring
Faculty of Engineering and Natural Sciences
Serhat Ye┼čilyurt,
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Doctoral, Master
Formal lecture,Recitation,Group tutorial
Interactive,Communicative,Project based learning,Simulation
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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.


On successful completion of the course, students will be able to:
Improve intuition and understanding of basic numerical methods such as root finding, numerical differentiation and integration and discretization error and its control in numerical solution of engineering problems.
Gain insight into the application of finite-difference method to solve partial-differential equations numerically.
Improve understanding of eigenvalue problems.
Solve root finding, integration and differentiation problems numerically.
Possess ability to model and analyze engineering problems governed by partial differential equations such as conduction, diffusion, beam and plate bending.
Select appropriate efficient numerical solution method for the engineering problem at hand
Improve their skills using computer tools such as MATLAB to solve fluid flow problems through a 2-week computational project.