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A FEniCS-based cardiovascular physics solver

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  • Ambit - A FEniCS-based cardiovascular physics solver

3D nonlinear solid and fluid mechanics finite element Python code using FEniCS and PETSc libraries, supporting

  • Solid mechanics
    • Finite strain elastodynamics, implementing a range of hyperelastic isotropic and anisotropic as well as viscous constitutive laws
    • Active stress for modeling of cardiac contraction mechanics
    • Quasi-static, generalized-alpha, or one-step theta time integration
    • Nearly incompressible as well as fully incompressible formulations (latter using pressure dofs)
    • Prestressing using MULF method in displacement formulation
    • Volumetric growth & remodeling
  • Fluid dynamics
    • Incompressible Navier-Stokes/Stokes equations, either in nonconservative or conservative formulation
    • Navier-Stokes/Stokes flow in an Arbitrary Lagrangian Eulerian (ALE) reference frame
    • One-step theta, or generalized-alpha time integration
    • SUPG/PSPG stabilization for equal-order approximations of velocity and pressure
  • Lumped (0D) models
    • Systemic and pulmonary circulation flow models
    • 2-element as well as 4-element Windkessel models
    • Signalling network model
  • Coupling of different physics:
    • Monolithic coupling of ALE and fluid, 3D solid/fluid/ALE-fluid with lumped 0D flow models
    • Multiscale-in-time analysis of growth & remodeling (staggered solution of 3D-0D coupled solid-flow0d and G&R solid problem)
  • Fluid-reduced-solid interaction (FrSI)
    • Boundary subspace-projected physics-reduced solid model (incl. hyperelastic, viscous, and active parts) in an ALE fluid reference frame
  • POD-based model order reduction (MOR)
    • Projection-based model order reduction applicable to main fluid or solid field (also in a coupled problem), by either projecting the full problem or a boundary to a lower dimensional subspace spanned by POD modes

Still experimental / to-do:

  • Fluid-solid interaction (FSI) (started)
  • Finite strain plasticity
  • Electrophysiology/scalar transport
  • ... whatever might be wanted in some future ...

Installation

In order to use Ambit, you need to install FEniCSx (latest Ambit-compatible dolfinx development version dates to 19 Aug 2023)

Ambit can then be installed using pip, either the current release

python3 -m pip install ambit-fe

or latest development version:

python3 -m pip install git+https://github.com/marchirschvogel/ambit.git

Alternatively, you can pull a pre-built Docker image with FEniCSx and Ambit installed:

docker pull ghcr.io/marchirschvogel/ambit:latest

If a Docker image for development is desired, the following image contains all dependencies needed to install and run Ambit (including the dolfinx mixed branch):

docker pull ghcr.io/marchirschvogel/ambit:devenv

Usage

Have a look at example input files in ambit/tests and the file ambit_template.py in the main folder as example of all available input options

Best, check if all testcases run and pass, by navigating to ambit/tests and executing

./runtests.py
  • Build your input file and run it with the command
mpiexec -n <NUMBER_OF_CORES> python3 your_file.py

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