This Repository Contains Physics LIB, a physics library that simulates various physics calculations as parallelelized and seriallized implementations to obtain optimal performance and results.
Features
1- Damped spring motion
- Damped Spring Motion is a simple harmonic motion that simulates the motion of a mass attached to a spring and oscillates in a y-axis direction with given parameters that the user specifies like mass and stiffness of spring.
- This simulation is implemented in both parallel and serial implementations.
2- Elastic Pendulum
- Elastic pendulum/pendulum spring / swinging spring system is a system where it simulates the motion of 2D-spring in both directions y-axis and x-axis = given parameters that the user specifies like mass and stiffness of spring.
- Due to the chaotic motion of this system and its dependencies its algorithm is implemented in serial algorithm only.
3- 1D Heat Equation
- Heat Equation is an equation where it simulates the change of heat in the body isolated from the outer world and isn't affected by any other heat or cooling source.
- In this simulation, we simulate heat propagation in a 1D body as wire and the change in its temperature over time using Fourier transform.
- This simulation is implemented as a serial and parallel program.
4- 2D Heat Equation
- Heat Equation is an equation where it simulates the change of heat in the body isolated from the outer world and isn't affected by any other heat or cooling source.
- In this simulation, we simulate heat propagation in a 2D body as cpu as square or rectangle and the change in its temperature over time using Fourier transform.
- This simulation is implemented as a serial and parallel program.
Technologies and Tools Used
- Programming Language: C
- Parallel Computing: MPI, OpenMP
- Build: Make
Dynamic Library
Installation
make
sudo make install
make clean
To include in the environment path:
sudo ldconfig
echo $LD_LIBRARY_PATH
If couldn't find the library location listed then create a new environment variable:
export LD_LIBRARY_PATH=/usr/local/lib:$LD_LIBRARY_PATHD
Now it has been added to environment variables to be sure:
Make sure it has been listed.
Compilation and Run
mpicc -o myprogram main.c -lphysics -fopenmp
mpiexec -n 4 ./myprogram
Static Library
Installation
cd ./make
make
make clean
Compilation and Run
mpicc ../examples/main.c -o main -L../make -l:libphysics.a -fopenmp -lm -lc
mpiexec -n 4 ./main
Heat Equation 1D
The following graph represents the execution time of the Heat Equation 1D algorithm via different implementations (MPI, OpenMP, Serial) and the change of it when changing the Precision _(number of iterations)_.
Heat Equation 2D
The following graph represents the execution time of the Heat Equation 2D algorithm via different implementations (MPI, OpenMP, Serial) and the change of it when changing the Precision _(number of iterations)_.
Damped Oscillation
The following graph represents the execution time of the Damped Oscillation Simulation algorithm via different implementations (MPI, OpenMP, Serial) and the change of it when changing the Time Limit _(number of iterations)_, and discusses the execution time of the simulation when false sharing occurred.
Contributing
We welcome contributions from the community to improve our project. Please read our Contributing Guidelines to understand how you can contribute and make the process smoother for everyone involved.
Code of Conduct
We have a Code of Conduct in place to promote a positive and inclusive community. We expect all contributors to adhere to the code when participating in discussions or contributing to the project.
License
This project is licensed under the MIT License.
Links
