An Object-Oriented Library for Heat Transfer Modelling and Simulation in Open Cell Foams

by   Tobias M. Scheuermann, et al.

Metallic open cell foams have multiple applications in industry, e. g. as catalyst supports in chemical processes. Their regular or heterogeneous microscopic structure determines the macroscopic thermodynamic and chemical properties. We present an object-oriented python library that generates state space models for simulation and control from the microscopic foam data, which can be imported from the image processing tool iMorph. The foam topology and the 3D geometric data are the basis for discrete modeling of the balance laws using the cell method. While the material structure imposes a primal chain complex to define discrete thermodynamic driving forces, the internal energy balance is evaluated on a second chain complex, which is constructed by topological duality. The heat exchange between the solid and the fluid phase is described based on the available surface data. We illustrate in detail the construction of the dual chain complexes, and we show how the structured discrete model directly maps to the software objects of the python code. As a test case, we present simulation results for a foam with a Kelvin cell structure, and compare them to a surrogate finite element model with homogeneous parameters.


page 1

page 2

page 3

page 4


A surface finite element method for computational modelling of cell blebbing

Cell blebs are protrusions of the cell membrane and can be instrumental ...

A level-set based space-time finite element approach to the modelling of solidification and melting processes

We present a strategy for the numerical solution of convection-coupled p...

Variational and thermodynamically consistent finite element discretization for heat conducting viscous fluids

Respecting the laws of thermodynamics is crucial for ensuring that numer...

PNet: A Python Library for Petri Net Modeling and Simulation

Petri Net is a formalism to describe changes between 2 or more states ac...

Energy stable finite element scheme for simulating flow dynamics of droplets on non-homogeneous surfaces

An energy stable finite element scheme within arbitrary Lagrangian Euler...

Simulation model of spacetime with the Minkowski metric

In this paper, we propose a simulation model of spacetime as a discrete ...

n-VDD: Location Privacy Protection Based on Voronoi-Delaunay Duality

To date, location privacy protection is a critical issue in Location-Bas...

Please sign up or login with your details

Forgot password? Click here to reset