Solving Ordinary Differential Equations using lsode- Simple Pendulum

Objective: To write a program that solves the ODE which represents the equation of motion of a simple pendulum with damping. Simulate the motion between 0-20 sec Theory: In Engineering, ODE is used to describe the transient behavior of a system. A simple example is a pendulum. The way the pendulum moves…

MATLAB

GAURAV KHARWADE
updated on 21 Oct 2019

Read more Projects by GAURAV KHARWADE (44)

Week 9 - Senstivity Analysis Assignment

Objective:

Objective: To write the code which will take entire reactions of GRI mechanism 3.0 and take out the most sensitive top 10 reactions. The main parameters are as follows: Write code to list out the top 10 most sensitive reactions from a list of all reactions from the GRI mechanism. The sensitivity parameters should be with…

04 Jan 2021 05:51 PM IST

Auto ignition analysis of combustible mixture methane under different conditions using Cantera and Python

Objective:

Objective: To study auto-ignition using Cantera. Following are the tasks to perform using Cantera: Plot the variation of Auto Ignition time of Methane with a constant temperature of 1250K and pressure varying from 1 to 5 atm. Plot the variation of Auto Ignition time…

06 Dec 2020 04:55 AM IST

Week 6 - Multivariate Newton Rhapson Solver

Objective:

Objective: To solve a given set of Ordinary Differential equations using the Multi-Variate Newton Raphson Method. Given: The set of ODE's are given below: $\frac{{d y}_{1}}{d t} = - 0.04 \cdot y_{1} + 10^{4} \cdot y 2 \cdot y 3$ $dy_1/dt= - 0.04*y_1+10^4*y2*y3$ $\frac{{d y}_{2}}{d t} = 0.04 \cdot y_{1} - 10^{4} \cdot y_{2} \cdot y_{3} - 3 \cdot 10^{7} \cdot y_{2}^{2}$ $dy_2/dt=0.04*y_1-10^4*y_2*y_3-3*10^7*y_2^2$ $\frac{{d y}_{3}}{d t} = 3 \cdot 10^{7} \cdot y_{2}^{2}$ $dy_3/dt=3*10^7*y_2^2$ The jacobian should be estimated numerically and not analytically.…