Engineering_Analysis

A curated set of small, focused numerical methods and applied-physics mini-projects—each living in its own folder with a notebook and/or Python script. The emphasis is on clarity of methods (discretizations, transforms, estimators) and reproducible figures.

Folders in this repo include: Fourier_Series_Gibbs_Analysis/, Diffusion_Constant_Evaluation/, Finite_Differences/, Finite_Element_Method/, Interpolation_Methods/, Topography/, X-Ray_Diffraction/.
Each folder contains a Python script (or MATLAB, for XRD) and a README with details.

What’s inside (one-liners)

• Fourier_Series_Gibbs_Analysis/ — Interactive animation of Fourier partial sums on a smoothed sawtooth, with a slider to control discontinuity sharpness and observe the Gibbs phenomenon.
• Diffusion_Constant_Evaluation/ — Estimates the diffusion constant of carbon in 1018 steel from pack-carburization Knoop hardness data using the error-function solution.
• Finite_Differences/ — Two FD solvers: neutron flux in a cylindrical water tank (diffusion equation), and axial displacement of a bar with nonuniform elastic modulus.
• Finite_Element_Method/ — Solves Laplace's equation on a unit disk with linear triangular elements, Delaunay mesh generation, sparse assembly, and Dirichlet BCs.
• Interpolation_Methods/ — Curve fitting library: Gaussian, polynomial, exponential, and power-law fits via linearized least squares, with R² reporting.
• Topography/ — Downloads SRTM elevation data, reprojects to UTM, fetches NAIP aerial imagery, and renders a textured 3D surface plot.
• X-Ray_Diffraction/ — MATLAB analysis of a tungsten XRD pattern: peak finding, Bragg’s-law d-spacing, lattice parameter extraction, and error quantification.

Quickstart

git clone https://github.com/hschn58/Engineering_Analysis.git
cd Engineering_Analysis
python -m venv .venv && source .venv/bin/activate
pip install -r requirements.txt

This covers most subprojects. Topography has additional dependencies — see its README. X-Ray Diffraction requires MATLAB.

Then run any subproject directly:

cd Finite_Element_Method
python FEM_Laplace_Disk.py

License

This project is licensed under the MIT License.