navier-stokes-nitsche-vms

Code used for developing the simulations in arXiv:2307.03589

https://github.com/nabw/navier-stokes-nitsche-vms

Science Score: 44.0%

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Repository

Code used for developing the simulations in arXiv:2307.03589

Basic Info

Host: GitHub
Owner: nabw
Language: Python
Default Branch: main
Size: 5.45 MB

Statistics

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

Created over 2 years ago · Last pushed almost 2 years ago

Metadata Files

Readme Citation

Repository Description

This repository contains the code utilized to generate the results presented in the paper titled 'Nitsche method for Navier-Stokes equations with slip boundary conditions: convergence analysis and VMS-LES stabilization.'

Models Provided

Two models are included in this repository:

Stationary Navier-Stokes Equation with Slip Boundary Conditions: This model is suitable for low Reynolds numbers. It employs the Nitsche method for solution.
Non-stationary Navier-Stokes Equation with Slip Boundary Conditions: This model includes a non-stationary term and is applicable for high Reynolds numbers. The VMS-LES Nitsche scheme is employed for stabilization.

Tests Conducted

Three tests are conducted in this work:

Test 1: Convergence Test
- Scripts: conv_test_nits.py and convergence_test_unsteady.py
Test 2: Lid Driven Cavity Test
- Scripts: lid_driven_steady_noslip.py, lid_driven_steady_slip.py, lid_driven_unsteady_noslip.py, and lid_driven_unsteady_slip.py
Test 3: Flow Past through a Circular Cylinder
- Scripts: flow_past_cylinder_noslip.py and flow_past_cylinder_slip.py

Dependencies

The code is dependent on FEniCS 2019.1.0 with Python 3. Please ensure that this dependency is satisfied before running the scripts.

Owner

Name: Nico Barnafi
Login: nabw
Kind: user

Repositories: 2
Profile: https://github.com/nabw

Citation (CITATION.cff)

# This CITATION.cff file was generated with cffinit.
# Visit https://bit.ly/cffinit to generate yours today!

cff-version: 1.2.0
title: >-
  Nitsche method for Navier-Stokes equations with slip
  boundary conditions: convergence analysis and VMS-LES
  stabilization
message: >-
  If you use this software, please cite it using the
  metadata from this file.
type: software
authors:
  - given-names: Aparna
    family-names: Bansal
    email: a_bansal@ma.iitr.ac.in
    affiliation: Indian Institute of Technology Roorkee
  - given-names: Nicolás Alejandro
    family-names: Barnafi Wittwer
    email: nbarnafi@cmm.uchile.cl
    affiliation: >-
      Centro de Modelamiento Matemático, Universidad de
      Chile
    orcid: 'https://orcid.org/0000-0001-9818-0342'
repository-code: 'https://github.com/nabw/navier-stokes-nitsche-vms'

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