ericksen_leslie_decoupled

FEniCS implementation of a decoupled numerical FEM scheme for the Ericksen-Leslie Equations equipped with Dirichlet Energy

https://github.com/max-reiter-math/ericksen_leslie_decoupled

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Repository

FEniCS implementation of a decoupled numerical FEM scheme for the Ericksen-Leslie Equations equipped with Dirichlet Energy

Basic Info

Host: GitHub
Owner: Max-Reiter-math
Language: Python
Default Branch: master
Size: 47.9 KB

Statistics

Stars: 1
Watchers: 1
Forks: 1
Open Issues: 0
Releases: 3

Created almost 4 years ago · Last pushed over 3 years ago

Metadata Files

Readme Citation

ericksenlesliedecoupled

FEniCS implementation of a decoupled numerical FEM scheme for the Ericksen-Leslie Equations equipped with Dirichlet Energy:

In this package we consider two types of ericksen-leslie models. One is a rather simplified one (submodel = "simple") while the second one is of rather general nature (submodel = "general"). Both are equipped with the Dirichlet energy.

We offer a numerical schemes which decouples almost all (only velocity and pressure are coupled) quantities and rely on a fixpoint iteration. The goal of this project is to make the implementation of an academically used algorithm transparent and accessible. Mathematical background about the algorithm and its application will later be explained in an according paper.

Installation
Usage
File structure
Citation

Installation

Clone the repository sh git clone https://github.com/Max-Reiter-math/ericksen_leslie_decoupled.git

Dependencies

FEniCS

Matplotlib

numpy

Usage

sim.py allows the execution of a single simulation via command line inputs. For details about the necessary and optional arguments, simply type python sim.py -h example usage: python sim.py -m decoupled_fp_solver -e annihilation_2 -s "simple" -d 3 -dt 0.01

File structure:

bash │ CITATION.cff │ example_config.json │ lib.py │ README.md │ run_experiment.py │ sim.py │ __init__.py │ ├───accessories │ │ communicate.py │ │ logger.py │ │ my_plots.py │ │ postprocess.py │ │ __init__.py │ ├───experiments │ │ annihilation_2.py │ │ smooth_2d.py │ │ velocity_driven_flow_2.py │ │ __init__.py │ ├───model_library │ │ decoupled_fp_solver.py │ │ __init__.py │ │ │ ├───basic_models │ │ │ assist_funcs.py │ │ │ basemodel.py │ │ │ basemodel_fp.py │ │ │ basemodel_linear_decoupled.py │ │ │ basemodel_linear_fp_decoupled.py │ │ │ __init__.py

Citation

For citation we refer to the CITATION.cff file in this directory.

Owner

Login: Max-Reiter-math
Kind: user

Repositories: 3
Profile: https://github.com/Max-Reiter-math

Citation (CITATION.cff)

cff-version: 1.2.0
title: >-
  FEniCS implementation of a decoupled numerical
  Finite Element scheme for the Ericksen-Leslie
  Equations
message: >-
  If you use this software, please cite it using the
  metadata from this file.
type: software
authors:
  - given-names: Maximilian Elias Vincenzo
    family-names: Reiter
    email: math@maximilianreiter.de
    orcid: 'https://orcid.org/0000-0001-9137-7978'
    affiliation: Technische Universität Berlin
abstract: >-
  FEniCS implementation of a decoupled numerical
  Finite Element scheme for the Ericksen-Leslie
  Equations equipped with the Dirichlet Energy.
keywords:
  - finite element method
  - Ericksen-Leslie
  - FEniCs
date-released: '2022-10-31'
doi:

ecosyste.ms

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