Breaking Ice with Air cushion Vehicle - Find minimum pressure with Newton-Raphson method

What will you do in this project?

In this project you will be,

Learning how to employ iterative solvers to obtain the solution of polynomial equations
Understanding how these solvers work and the different parameters involved
Finding out the most suitable relaxation factor

Benefits of this Project

Newton Raphson method is an iterative solver that is used to find the roots of a given equation. In this project, we will be employing this method to solve for the minimum pressure required to break a sheet of ice and find the relationship between pressure and ice thickness. Additionally, we will also be studying how the relaxation factor affects the solution and how we can choose a relaxation factor.

The project is an advanced level project

This project is great for undergraduate students (3rd & 4th year), M.Tech or MS students
If you are a working professional, this project will be helpful to learn the basics of Python to solve complicated problems

Pre-requisites

Must be comfortable with basics of coding and python syntax
Must have a good understanding of mathematical concepts and numerical solvers

Learning outcome

Using python to create functions
Understand solution methodologies for polynomial equations and the best methods to use these methods
Employ basic modules available in python

MechanicalAutomotive. Materials Engineering

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