Numerical Modelling
Assignments of PHY-3075 at UdeM
Showcase of different assignment projects done through my undergraduate study.
Higgs Boson Detection Simplified
Motivation
Identify the Higgs boson from sanitized data provided by CERN using a binary classifier
Description
- Build a lightweight framework to adapt the number of layers and nodes of a neural network
Results
Obtained the highest score
![Convergence based on the training/test dataset](/assets/img/projects/phy3075_numerical_modelling/higgs_score.png)
![Classifier results on the unknown dataset with a score of 82.5% accuracy](/assets/img/projects/phy3075_numerical_modelling/higgs_binaryclassifier.png)
Origin of a Nuclear Accident
Motivation
Identify the origin of a nuclear accident from gas propagation through a simplified setting.
Description
- Implement a simple fluid simulation
- Build an optimization scheme
Results
![A radioactive simulation compare to the one of reference in our textbook.](/assets/img/projects/phy3075_numerical_modelling/radioactive_sim.png)
![Fitting of 3 different sensors based on the best guesses](/assets/img/projects/phy3075_numerical_modelling/radioactive_concentration.png)
![Vizualization of my optimization step through each sub-region](/assets/img/projects/phy3075_numerical_modelling/radioactive_optidivideandconquer.png)
nu-Bootis Orbital Parametrization
Motivation
Improve convergence of a genetic algorithm to find the best parameters of the Kepler formula to fit observed data.
Description
- Implement a custom strategy for a genetic algorithm
Results
![Genetic Algorithm in 2D](/assets/img/projects/phy3075_numerical_modelling/geneticalgo_opti.gif)
![Genetic Algorithm Convergence Study](/assets/img/projects/phy3075_numerical_modelling/geneticalgo_convergence.png)
![Final Solution](/assets/img/projects/phy3075_numerical_modelling/geneticalgo_finalresult.png)
Dark Matters
Motivation
Enhance galaxy simulation by incorporating a dark matter halo to match experimental observation of gravitational potential.
Description
- Implement a small N-Body simulation
- Estimate the gravitational potential of a simulated galaxy
Results
![Dark Matter Contribution to Galaxy Rotation](/assets/img/projects/phy3075_numerical_modelling/dark_matter.gif)