concentricWave

Code for concentrc wave focussing

Ensure proper installation of Basilisk, Julia and Python in your PC

Download the code repository by following command in your terminal

• git clone https://github.com/Lohittitas/concentricWave

Running CFD simulation in Basilisk

• Ensure Basilisk installation from http://basilisk.fr/
• cd concentricWave
• sh run.sh will run this simulation on 4 cores of CPU. One may change number of cores. This should also generate the necessary dump files.

Necessary dependencies in Julia for solving ODEs (equation 2.6) in paper.

• Invoke julia through terminal
• Enter package mode through ] key
• add DifferentialEquations Plots FastGaussQuadrature Trapz Bessels HDF5 QuadGK Pluto This command is a one-time use and should take some time.
• Pluto.run() Opens Pluto-notebook to run odeSolver.jl file
• Open odeSolver.jl and run the code to solve ODEs. This file requires coefficient matrices which are saved in the hd5_newdir folder provided.

Necessary dependencies in Python for inverse Laplace transform

• Install mpmath and scipy module(check their documentation)

• Run saveData.py to generate the results from theory by solving equation 3.2 in paper by numerical inverse Laplace transform and to save the interface data.

• Find coefficient matrices here

• https://drive.google.com/drive/folders/1ZqWXmdf8EZYsPg1NWWgOGqrg2N0lCaF5?usp=drive_link