Examples

Last updated

30 September 2026

These examples show RayTraceHeatTransfer.jl at work, from a first grey problem to a million-element benchmark. They are moving here from the package README; until each has its own page, its link leads to its section there.

Participating media in 2D

Example 1 — 2D Grey Participating Medium: the basic workflow, validated against Crosbie and Schrenker.
Example 2 — Spectral Greenhouse Atmosphere: a spectral problem with adaptive spectral bins.
Example 3 — Line Spectrum vs Line-by-Line Reference: a synthetic line spectrum against an independent line-by-line solution.
Example 4 — Anisotropic Scattering vs a Discrete-Ordinates Reference: directional scattering and reflection on angular bins.
Example 5 — Circular Enclosure from Triangular Elements: curved geometry built from triangles.

Surfaces in 3D

Example 6 — 3D Surface Enclosure: analytical view factors in a cube.
Example 7 — Triangulated Icosphere: convergence on a sphere built from triangles.
Example 8 — Mixed Triangular and Quadrilateral Faces: meshes mixing both element shapes.
Example 9 — Non-Convex Enclosure: an L-Shaped Duct: ray tracing where surfaces shadow each other.

Accuracy and scale

Example 10 — Convergence in Rays and Mesh: how the solution converges with more rays and a finer mesh.
Example 11 — Large Scale: a Million Elements: a billion rays and a million elements, against the diffusion approximation.

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title: "Examples"
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These examples show RayTraceHeatTransfer.jl at work, from a first grey problem to a million-element benchmark. They are moving here from the package README; until each has its own page, its link leads to its section there.

## Participating media in 2D

- [Example 1 — 2D Grey Participating Medium](example-01.qmd): the basic workflow, validated against Crosbie and Schrenker.
- [Example 2 — Spectral Greenhouse Atmosphere](example-02.qmd): a spectral problem with adaptive spectral bins.
- [Example 3 — Line Spectrum vs Line-by-Line Reference](example-03.qmd): a synthetic line spectrum against an independent line-by-line solution.
- [Example 4 — Anisotropic Scattering vs a Discrete-Ordinates Reference](https://github.com/NikoBiele/RayTraceHeatTransfer.jl#example-4--anisotropic-scattering-vs-a-discrete-ordinates-reference): directional scattering and reflection on angular bins.
- [Example 5 — Circular Enclosure from Triangular Elements](https://github.com/NikoBiele/RayTraceHeatTransfer.jl#example-5--circular-enclosure-from-triangular-elements): curved geometry built from triangles.

## Surfaces in 3D

- [Example 6 — 3D Surface Enclosure](https://github.com/NikoBiele/RayTraceHeatTransfer.jl#example-6--3d-surface-enclosure): analytical view factors in a cube.
- [Example 7 — Triangulated Icosphere](https://github.com/NikoBiele/RayTraceHeatTransfer.jl#example-7--triangulated-icosphere): convergence on a sphere built from triangles.
- [Example 8 — Mixed Triangular and Quadrilateral Faces](https://github.com/NikoBiele/RayTraceHeatTransfer.jl#example-8--mixed-triangular-and-quadrilateral-faces): meshes mixing both element shapes.
- [Example 9 — Non-Convex Enclosure: an L-Shaped Duct](https://github.com/NikoBiele/RayTraceHeatTransfer.jl#example-9--non-convex-enclosure-an-l-shaped-duct): ray tracing where surfaces shadow each other.

## Accuracy and scale

- [Example 10 — Convergence in Rays and Mesh](https://github.com/NikoBiele/RayTraceHeatTransfer.jl#example-10--convergence-in-rays-and-mesh): how the solution converges with more rays and a finer mesh.
- [Example 11 — Large Scale: a Million Elements](https://github.com/NikoBiele/RayTraceHeatTransfer.jl#example-11--large-scale-a-million-elements): a billion rays and a million elements, against the diffusion approximation.