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Osman209/README.md

Mohamed Osman

Mechanical Engineer | CFD & Numerical Simulation | Independent Researcher in Computational Number Theory

I am a mechanical engineer working in CFD, numerical simulation, and mechanical systems. I also conduct independent research in computational number theory, which is currently a central focus of my work.

My research emphasizes prime-number structure, reproducible numerical experiments, sensitivity analysis, prior-art checking, and the clear documentation of both positive and negative results.

Areas of Interest

  • Computational Fluid Dynamics
  • Prime numbers and multiplicative number theory
  • Numerical simulation and engineering analysis
  • Reproducible computational research
  • Python for scientific computing
  • Mechanical systems and heavy equipment

Current Research

Prime Number Studies

A reproducible, self-directed computational study beginning with the division table and following its structure through prime-power layers, sieve constructions, explicit formulas, spectral models, and numerical controls.

The project emphasizes:

  • runnable verification code;
  • comparison with known mathematical literature;
  • sensitivity and truncation analysis;
  • documentation of corrections and negative results;
  • no claims concerning a proof of the Riemann Hypothesis.

Repository: prime-number-studies

Engineering and CFD

I am developing this profile to include selected CFD and mechanical-engineering studies, with emphasis on:

  • mesh-independence studies;
  • analytical or experimental validation;
  • documented boundary conditions;
  • reproducible preprocessing and postprocessing;
  • clear engineering conclusions rather than contour plots alone.

Tools

Python · ANSYS Fluent · ANSYS Mechanical · SolidWorks · STAR-CCM+ · NumPy · SciPy · SymPy · Matplotlib

Research Identity

Contact

For engineering collaboration, CFD studies, reproducibility discussions, or mathematical correspondence, connect with me through LinkedIn or GitHub.

Popular repositories Loading

  1. prime-number-studies prime-number-studies Public

    Independent re-derivations, measurements and negative results around the division table — with runnable verification code. No RH claims.

    Python 2 1

  2. Osman209 Osman209 Public