Writing
Research Notes
Technical notes on numerical methods, CFD solver derivations, and simulation case studies — written to build depth and share understanding with the community.
The SIMPLE Algorithm on a Staggered Grid
A detailed walkthrough of the SIMPLE (Semi-Implicit Method for Pressure-Linked Equations) algorithm — the pressure-velocity coupling scheme at the heart of most steady incompressible flow solvers, including OpenFOAM's simpleFoam.
Projection Method for Incompressible Navier–Stokes: Step by Step
A clear derivation of Chorin's fractional step (projection) method for incompressible flow — showing how to split the momentum and pressure equations and enforce the divergence-free constraint.
From PDE to FEniCS: Solving Heat Conduction with Finite Elements
A step-by-step walkthrough of how the 2-D steady-state heat equation is transformed from its strong form into a finite element discretisation and solved in FEniCS — the core of my M.E. thesis.