Welcome to pyoomph’s documentation!

pyoomph is a python multi-physics finite element framework based on oomph-lib and GiNaC.

pyoomph lets you assemble quite arbitrary multi-physics and multi-domain problems directly in python, including custom equations, constraints and moving meshes. By generating symbolically derived C code, the performance of pyoomph is on par with hand-coded finite element implementations, but with a considerably lower workload to set up complicated problems.

You can either browse the tutorial online or download a PDF version.

The source code of pyoomph is hosted on Github and you can find its homepage at pyoomph.github.io.

Tutorial

• Pyoomph Tutorial

Table 1 Some representative tutorial cases

Adaptive timestepping for the Lorenz attractor	Stability analysis and bifurcation tracking of ODEs
Hopf branch switching to periodic orbits	Stability of periodic orbits via Floquet multipliers
Spatial adaptivity for a 2d Poisson equation	Flow around a sphere (Stokes law)
No normal flow through a curved interface	Generation of custom meshes
Wave equation	Rayleigh-Taylor instability
Coalescence of droplets via lubrication theory	Pattern formation and stability analysis
Transient simulation of a free surface	Three-dimensional droplet with varying wettability
Moving meshes and mesh reconstruction	Droplet with Marangoni flow and gravity
Melting of an ice cylinder	Flow around a sphere with insoluble surfactants
Evaporation of a water droplet	Mixture evaporation from a Hele-Shaw cell
Nonlinear elasticity	Fluid-structure interaction
Discontinuous Galerkin methods	Linear response to periodic driving
Bifurcation tracking of a detaching droplet	Azimuthal stability analysis
Cartesian normal mode stability analysis	Coupling multiple simulations with preCICE

Indices and tables

• Index

• Module Index

• Search Page