CFD Libraries in Julia

1 Overview

Julia contains several packages that are helpful for thermofluid simulation.

Package	Main Role	Course Use
`DifferentialEquations.jl`	ODEs and time integration	Coffee, pipe, semi-discrete PDEs
`Gridap.jl`	Finite element method	Heat conduction and advection-diffusion
`WaterLily.jl`	Incompressible immersed-boundary CFD	Flow visualization around bodies
`Oceananigans.jl`	Incompressible/buoyant flow	Natural convection extension
`Trixi.jl`	High-order conservation laws	Compressible CFD extension
`VoronoiFVM.jl`	Finite volume on unstructured grids	Transport and heat transfer
`MethodOfLines.jl`	PDE-to-ODE discretization	Heat and advection-diffusion equations

2 Recommended Use in This Course

For the five projects, the most useful core packages are:

DifferentialEquations.jl
Gridap.jl
Lux.jl
NeuralPDE.jl

WaterLily.jl is recommended as a visual CFD demonstration for flow around objects and the interpretation of convective heat-transfer coefficients.

3 Pedagogical Rule

Do not treat libraries as black boxes.

For every package-based simulation, students should identify:

governing equations,
assumptions,
boundary conditions,
numerical method,
verification strategy.

---
title: "CFD Libraries in Julia"
---

## Overview

Julia contains several packages that are helpful for thermofluid simulation.

| Package | Main Role | Course Use |
|---|---|---|
| `DifferentialEquations.jl` | ODEs and time integration | Coffee, pipe, semi-discrete PDEs |
| `Gridap.jl` | Finite element method | Heat conduction and advection-diffusion |
| `WaterLily.jl` | Incompressible immersed-boundary CFD | Flow visualization around bodies |
| `Oceananigans.jl` | Incompressible/buoyant flow | Natural convection extension |
| `Trixi.jl` | High-order conservation laws | Compressible CFD extension |
| `VoronoiFVM.jl` | Finite volume on unstructured grids | Transport and heat transfer |
| `MethodOfLines.jl` | PDE-to-ODE discretization | Heat and advection-diffusion equations |

## Recommended Use in This Course

For the five projects, the most useful core packages are:

```julia
DifferentialEquations.jl
Gridap.jl
Lux.jl
NeuralPDE.jl
```

`WaterLily.jl` is recommended as a visual CFD demonstration for flow around
objects and the interpretation of convective heat-transfer coefficients.

## Pedagogical Rule

Do not treat libraries as black boxes.

For every package-based simulation, students should identify:

1. governing equations,
2. assumptions,
3. boundary conditions,
4. numerical method,
5. verification strategy.