Gallery

Acoustics

Acoustic pressure distribution	Acoustic pressure distribution in 3D	A script demonstrating the solution of the scalar Helmholtz equation for a situation inspired by the physical problem of WiFi propagation in an apartment
Vibro-acoustic problem 3D acoustic domain with 2D perforated deforming interface

Dg

Transient advection equation in 1D solved using discontinous galerkin method

Diffusion

Laplace equation (eg: temperature distribution) on a cube geometry with different boundary condition values on the cube sides	Each of the two equations describes a flow in one compartment of a porous medium	Laplace equation in 1D with a variable coefficient
Two Laplace equations with multiple linear combination constraints	A Laplace equation that models the flow of “dry water” around an obstacle shaped like a Citroen CX	Laplace equation with Dirichlet boundary conditions solved in a single patch NURBS domain using the isogeometric analysis (IGA) approach, using commands for interactive use
Example of solving Laplace’s equation on a block domain refined with level 1 hanging nodes	Laplace equation with shifted periodic BCs	Example explaining how to change Dirichlet boundary conditions depending on time
Laplace equation using the long syntax of keywords	Laplace equation with a field-dependent material parameter	Poisson equation with source term
Poisson equation solved in a single patch NURBS domain using the isogeometric analysis (IGA) approach	The Poisson equation with Neumann boundary conditions on a part of the boundary	Nonlinear Poisson’s equation example demonstrating the nonlinear diffusion and nonlinear volume force terms
Parallel assembling and solving of a Poisson’s equation, using commands for interactive use	Poisson equation	Transient Laplace equation with a localized power source and periodic boundary conditions
Laplace equation using the short syntax of keywords	Laplace equation with Dirichlet boundary conditions given by a sine function and constants	The transient advection-diffusion equation with a given divergence-free advection velocity
Transient heat equation with time-dependent source term, three different material domains and Newton type boundary condition loss term	Transient Laplace equation with non-constant initial conditions given by a function	Transient Laplace equation
Transient Laplace equation (heat equation) with non-constant initial conditions given by a function, using commands for interactive use

Homogenization

Compute homogenized elastic coefficients for a given heterogeneous linear elastic microstructure	Homogenized nonlinear hyperelastic material with evolving microstructure deformation in each macroscopic quadrature point	Homogenization of the Darcy flow in a thin porous layer
Compute homogenized elastic coefficients for a given microstructure

Large Deformation

Nearly incompressible hyperelastic material model with active fibres	Inflation of a Mooney-Rivlin hyperelastic balloon	Compare various elastic materials w
Incompressible generalized Yeoh hyperelastic material model	Nearly incompressible Mooney-Rivlin hyperelastic material model	Incompressible Mooney-Rivlin hyperelastic material model
Nearly incompressible Mooney-Rivlin hyperelastic material model	Compressible Mooney-Rivlin hyperelastic material model	Porous nearly incompressible hyperelastic material with fluid perfusion

Linear Elasticity

Dispersion analysis of a heterogeneous finite scale periodic cell	Elastic contact planes simulating an indentation test	Elastic contact sphere simulating an indentation test
Linear elasticity with linear combination constraints and periodic boundary conditions	The linear elastodynamics solution of an iron plate impact problem	The linear elastodynamics solution of an iron plate impact problem with identification of material parameters from simulated measurement data
Diametrically point loaded 2-D disk	Diametrically point loaded 2-D disk with postprocessing	Diametrically point loaded 2-D disk with nodal stress calculation
Diametrically point loaded 2-D disk with postprocessing and probes	Diametrically point loaded 2-D disk with postprocessing and probes	Diametrically point loaded 2-D disk, using commands for interactive use
Linear elasticity with given displacements	Time-dependent linear elasticity with a simple damping	Linear elasticity solved in a single patch NURBS domain using the isogeometric analysis (IGA) approach
Linear elasticity example using the imperative API	This example shows how to use the post_process_hook to probe the output data	Linear elasticity with pressure traction load on a surface and constrained to one-dimensional motion
Nearly incompressible linear elasticity in mixed displacement-pressure formulation with comments	Linear viscoelasticity with pressure traction load on a surface and constrained to one-dimensional motion	Example demonstrating how a linear elastic term can be used to solve an elasticity problem with a material nonlinearity
A linear elastic beam loaded with a continuous force	Modal analysis of a linear elastic block in 2D or 3D	Modal analysis of a wheel set
Linear elasticity with multi node linear combination constraints	The linear elasticity of two discs connected using multi-point constraints	Linear elasticity with nodal linear combination constraints
Linear elasticity with a given prestress in one subdomain and a (pre)strain fibre reinforcement in the other	The linear elastodynamics of an elastic body loaded by a given base motion	Bending of a long thin cantilever beam, declarative problem description
Bending of a long thin cantilever beam, imperative problem description	An example demonstrating the usage of the truss elements in 2D	An example demonstrating the usage of the truss structural elements in 3D
Contact of two elastic bodies with a penalty function for enforcing the contact constraints	A linear elastic beam loaded with a continuous force

Miscellaneous

Live plot demonstration

Plot the convergence of eigenvalues (or corresponding frequencies) of an eigenvalue problem to an analytical solution, when applying the uniform mesh refinement

Multi Physics

Biot problem - deformable porous medium	Biot problem - deformable porous medium with the no-penetration boundary condition on a boundary region	Biot problem - deformable porous medium with the no-penetration boundary condition on a boundary region enforced using Lagrange multipliers
Parallel assembling and solving of a Biot problem (deformable porous medium), using commands for interactive use	Biot problem - deformable porous medium with a no-penetration boundary condition imposed in the weak sense on a boundary region, using the short syntax of keywords	Piezo-elasticity problem - linear elastic material with piezoelectric effects
Piezo-elasticity problem - homogenization of a piezoelectric linear elastic matrix with embedded metalic electrodes, see [1] for details	The linear elastodynamics of a piezoelectric body loaded by a given base motion	First solve the stationary electric conduction problem
Thermo-elasticity with a given temperature distribution	Thermo-elasticity with a computed temperature demonstrating equation sequence solver

Navier Stokes

Navier-Stokes equations for incompressible fluid flow	Navier-Stokes equations for incompressible fluid flow in 2D	Navier-Stokes equations for incompressible fluid flow in 2D solved in a single patch NURBS domain using the isogeometric analysis (IGA) approach
Stabilized Navier-Stokes problem with grad-div, SUPG and PSPG stabilization solved by a custom Oseen solver	Stokes equations for incompressible fluid flow	Incompressible Stokes flow with Navier (slip) boundary conditions, flow driven by a moving wall and a small diffusion for stabilization

Phononic

Acoustic band gaps in a strongly heterogeneous elastic body, detected using homogenization techniques

Acoustic band gaps in a strongly heterogeneous elastic body with a rigid inclusion, detected using homogenization techniques

Quantum

Boron atom with 1 electron	Hydrogen atom	Quantum oscillator
Quantum potential well