Simple examples

This page is a compilation of examples first for the illustration of the “Master 1” and “Master 2” courses of “Ecoulements en Milieux Naturels, M1EMN and M2EMN” by Pierre-Yves Lagrée, that is why some examples are in french.

Simple example to present finite volumes

Advection equation, compare simple code in satndard C and Basilisk

Simple examples, model equations

Just a bit more complicated examples, mostly for heat equation

A temptative with dispersion

Model equation for surface growth

Master1 Exemples waves

Master1 Exemples continued (Saint Venant)

illustration of the “Master 1” course of “Ecoulements en Milieux Naturels, M1EMN”, shallow water examples


for Master 1, “TP” by Geoffroy

  • Cours/TP 1 : Introduction à Basilisk
  • TP 2 : Un Tsunami dans la mer méditérannée (topographie à télecharger : topo.kdt )
  • Cours/TP 3 : Solveurs de Riemann et Cas test
  • Cours/TP 4 : Les coefficients de frictions et leurs implémentations
  • Mini - projet : L’inondation de Karamea (à faire !)

Multilayer / RNSP

Some examples of multilayer and RNS/P solutions

two layers

more layers

porous flows

Here examples of laplacian for porous flows

Examples of “complex” flows

Here flow of concrete with Bingham rheology

Examples of granular flows

Here granular flows with shallow water (Savage Hutter/ Saint Venant)

Here granular flows with continuum description