Advanced Numerical Algorithms - Project 3

Lid-Driven Cavity Flow: Finite Volume and Spectral Methods

Authors: Philip Korsager Nickel, Aske Schrøder Nielsen

This documentation provides computational experiments, API reference, and implementation details for solving the lid-driven cavity problem using finite volume and spectral methods.

For the full codebase, please visit the GitHub repository.

Contents

Example Scripts

Gallery of computational experiments and visualizations for lid-driven cavity flow.

API Reference

Complete API reference for finite volume, spectral methods, and utility modules.

HPC Guide

Guide for running parameter sweeps on the DTU HPC cluster.

Installation

The package requires Python 3.12 and uses uv for dependency management.

Run the setup script from the project root:

bash setup.sh

This will create a virtual environment and install all dependencies including PETSc and petsc4py.