sandbox/M1EMN/README
- Simple examples
- Installation
- Simple example to present finite volumes
- Simple examples, model equations
- Navier Stokes
- Master1 Exemples waves
- Master1 Exemples continued (Saint Venant)
- Erosion
- for Master 1, “TP” by Geoffroy
- Multilayer / RNSP
- Porous flows
- Examples of “complex” flows
- Examples of granular flows
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 shallow water and M1EMN waves and M2EMN non Newtonian flows” by Pierre-Yves Lagrée, that is why some examples are in french. See as well Résolution numérique de SV.
see as well http://m2.basilisk.dalembert.upmc.fr/sandbox/PYL/README
Installation
http://basilisk.fr/src/INSTALL
http://basilisk.fr/sandbox/M1EMN/HELP/README
Simple example to present finite volumes
Advection equation, compare simple code in standard C and Basilisk
- 1D advection equation explains the notions of advection, test the flux, coded with Basilisk
- 1D advection equation the same than the previous one but with standard C (std C)
- 1D advection equation compares centered and decentered
Simple examples, model equations
Just a bit more complicated examples, mostly for heat equation
- 1D Heat equation
- 1D Heat equation, implicit with iterations
- Heat equation in 2D, with mixed condition
A temptative with dispersion
- 1D capillary waves
- 1D Boussinesq eq, (standard C)
Model equation for surface growth
- Diffusion equation in 2D, with mixed condition: MOCVD SAG equation
- Diffusion equation in 3D, with mixed condition: MOCVD SAG equation
- 1D KPZ equation for surface growth
- 1D diffusion equation with curvature effects (dx2 and dx4) for surface growth
Navier Stokes
- Couette flow with friction Boundary condition with NS
- Poiseuille axy flow avec la méthode chinoise
- Womersley in a axi
Master1 Exemples waves
Master1 Exemples continued (Saint Venant)
illustration of the “Master 1” course of “Ecoulements en Milieux Naturels, M1EMN”, shallow water examples
- Flood wave
- Rupture de barrage 1D (std C)
- Embouchure de la Gironde (std C)
- Dam Break 1D
- Dam Break 1D with turbulent friction, Dressler
- Dam Break 2D Navier Stokes to compare with SV 1D
- Standing Hydrolic Jump 1D
- Flow over a bump at different Froude 1D
- Vague qui déferle sur une plage 1D
- Vagues qui déferlent sur une plage 1D
- Vague qui déferle sur une plage inclinée 2D
- Ressaut qui se casse en mascaret
- Lave qui sort d’un Volcan 2D
- Collapse d’un tas visqueux with Saint Venant
- Viscous Collapse without Saint Venant
Erosion
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
- 1D twolayers Saint-Venant internal Dam break
- svvk
- svvk_3.c
more layers
- RNSP multilayer Saint-Venant Dam break (std C)
- RNSP multilayer Saint-Venant hydrolic Jump, Higuera (std C)
- RNSP multilayer Saint-Venant hydrolic Jump, Higuera (Baz)
- RNSP multilayer Saint-Venant viscous collapse
- RNSP multilayer Saint-Venant viscous collapse on a slope
- RNSP multilayer Saint-Venant Bingham collapse on a incline
- RNSP multilayer Saint-Venant impulsive plate problem
- RNSP multilayer Saint-Venant sub/super/critical flow over a bump
Porous flows
Here examples of laplacian for porous flows
- Darcy flow near a hole in a semi infinite space: Lamb-Sneddon solution
- Darcy flow in a silo
- Darcy Forchheimer flow in a silo
Examples of “complex” flows
Here flow of concrete with Bingham rheology
- Bingham periodic 2D on a slope
- Bingham axi 2D in a tube
- Bingham concrete 2D slump test
- Bingham 1D collapse on a incline
- herschel Bulkley 1D collapse on a incline
- Bingham RNSP collapse on a incline
Examples of granular flows
Here granular flows with shallow water (Savage Hutter/ Saint Venant)
- Savage Hutter Avalanche of grains 1D
- Savage Hutter Avalanche of grains 2D
- Savage Hutter Avalanche: propagation of the front
Here granular flows with continuum description
- Continuum Avalanche Bagnold 2D solution
- Continuum Avalanche Bagnold 2D solution with segregation
- Continuum granular flow axi in pipe
- Continuum collapse of a column of grains real 2D, no slip at the base
- Continuum collapse of a column of grains real 2D, friction at the base
- Continuum sand glass of grains real 2D
- Continuum sand glass of grains real 2D, with friction
- Continuum sand glass of grains 2D axi
- Continuum sand glass of grains full 3D
