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The Underworld Geodynamics Platform
Instruction Manual
Introduction to Underworld 3
Meshes and model objects
Particle Swarms
Underworld Variables
Theory
Underworld Theory Manual
Mathematical Background
The Lagrangian-Particle FEM
PETSc pointwise functions and PDE solvers
Linear Algebra
Non Linear Methods
Notebooks
Index of Sample notebooks
Solving the Poisson Equation
Poisson Equation with flux recovery
Poisson Equation (generic)
Steady state diffusion in a hollow sphere
Nonlinear diffusion of a hot pipe
Linear diffusion of a hot pipe
Poisson Equation (simple)
Porous flow examples
Darcy flow (1d) using xy coordinates to define permeability distribution
Darcy flow (1d) using swarm variable to define permeability
Underworld Groundwater Flow Benchmark 1
Stokes Flow
Multiple materials - Drips and Blobs
Non-linear Stokes benchmark
Multiple materials - Linear stokes sinker
Stokes Benchmark SolCx
Cylindrical Stokes
Stokes flow in a Spherical Domain
Rayleigh Taylor - swarm materials
Rayleigh-Taylor (Level-set based) in the sphere
Periodic Mesh Example (WIP)
Convection modelling examples
Field (SemiLagrange) Advection solver test
Swarm Advection solver test - shear flow driven by a pre-defined, rigid body rotation in a disc
Constant viscosity convection, Cartesian domain (benchmark)
Temperature-dependent viscosity convection, Cartesian Domain(benchmark)
Temperature-dependent viscosity convection, Cylindrical domain (benchmark)
Non-linear viscosity convection, Cartesian domain (benchmark)
Non-linear viscosity convection, Cartesian domain (benchmark)
Constant viscosity convection, Cartesian domain (benchmark)
Thermochemical convection
Stokes in a disc with adv_diff to solve T and back-in-time sampling with particles
Convection in a disc with internal heating and rigid or free boundaries
Visco-elastic-plastic models
Spiegelman et al, notch-deformation benchmark
Flow and Shear banding around a circular inclusion in pure shear
Shear bands around a circular inclusion in a simple shear flow
Validate constitutive models
Navier Stokes Equation
Navier Stokes test: boundary driven ring with step change in boundary conditions
Cylindrical Stokes with Coriolis term (out of plane)
Cylindrical Stokes with Coriolis term (out of plane)
Miscellaneous Tips and Tricks
Cylindrical 2D Diffusion
Using the PETSc mesh integration routines
Projection-based function evaluation
Examples with General Mesh variable manipulation
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Underworld Variables
Contents
Mesh Variables
Underworld Variables
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Mesh Variables
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Contents
Mesh Variables
