Projects

Projects that I have done so far and enjoyed:

2024

Distributed memory parallelization of Lax-Wendroff Flux Reconstruction
- Performed parallelisation of the code for Lax-Wendroff Flux Reconstruction method for solving hyperbolic conservation laws for 1D and 2D cases using Message Passing Interface (MPI).
- Improved execution time of code by 13 times on a multicore architecture with efficiency of 82% on cartesian and curvilinear meshes
- The project report can be accessed here.

MPI-based Finite Difference Method for Parallel Numerical Simulation of Linear ODEs in C++
- Applied master-worker parallel algorithm in solving linear boundary value problems with Dirichlet, Neumann, and mixed boundary conditions.
- Code for parallel implementation of ordinary differential equation solver can be accessed here.
Serial Numerical Simulation of Linear ODEs using Finite Difference Method in C++
- Studied Finite difference method, derivative approximations for boundary value problems with Dirichlet, Neumann and mixed boundary conditions.
- Code for serial implementation of ordinary differential equation solver can be accessed here.
Reading Project on Advance C++ and Message Passing Interface (MPI)
- Studied point-to-point and collective communication as well as blocking and non-blocking communication routines in MPI.
- Reading includes the book "Guide to Scientific Computing in C++" by Dr. Joe Pitt-Francis and Prof. Jonathan Whiteley and some online mpi-tutorial websites.
- A parallel and serial implementation of Gauss Elimination using MPI can be found here and few other related codes can be found here.

This repository here, contains code for Message Passing Interface (MPI) in Julia.
- From simple implementations of MPI routines to code for Linear-advection equation in serial and parallel (MPI) are there.
- Codes for parallelization using Remote Memory Access (RMA), which is included in MPI 3.0, are also there for Linear Advection equation (1D and 2D).