https://github.com/tonathiu-pina/solver-navier-stokes-and-advection-convection-equations

This is a code that solves the problem of pollutant transport in a river using the Navier-Stokes equations to model the river and the Advection-Convection equations for pollutant transport. It is solved through the use of finite element techniques, using the FEniCS package.
https://github.com/tonathiu-pina/solver-navier-stokes-and-advection-convection-equations

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This is a code that solves the problem of pollutant transport in a river using the Navier-Stokes equations to model the river and the Advection-Convection equations for pollutant transport. It is solved through the use of finite element techniques, using the FEniCS package.

• Host: GitHub
• URL: https://github.com/tonathiu-pina/solver-navier-stokes-and-advection-convection-equations
• Owner: Tonathiu-Pina
• License: gpl-3.0
• Created: 2024-06-26T02:37:47.000Z (11 months ago)
• Default Branch: main
• Last Pushed: 2024-06-29T00:26:57.000Z (11 months ago)
• Last Synced: 2024-06-30T01:58:12.731Z (11 months ago)
• Language: Jupyter Notebook
• Size: 70.3 KB
• Stars: 0
• Watchers: 0
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# Solver-Navier-Stokes-and-advection-convection-equations-Polution-trasport-in-rivers

This is a code that solves the problem of pollutant transport in a river using the Navier-Stokes equations to model the river and the Advection-Convection equations for pollutant transport.  It is solved through the use of finite element techniques, using the FEniCS package.

The problem that solve is the transport of pollution in a part of Santiago River, near of Juanacatlán, Jal, Mex.

Code was thinking to work wiht a mesh generated with a .txt file that generate a .msh file and converte to a .xml file 

If you work with a .geo file, it's necesary adapt the code or chance to .txt

there are some fiscal parameters that can break the solver, in particular diffusivity coefficient (D). If D << 1 could generated numerical noise.

To solve Navier-Stokes (N-S) equations, it's used chorin metod, and an explicit discretization on time. 

To solve Advection-Convection (A-C) equations it's used an explicit discretization on time.

This code obtain the soloution for:

  scalar velocity field

  vectorial velocity field

  scalar pressure field

  scalar pollutions field

Each m time step, a PDF is saved with the solution of these four fields and is stored in their respective folders. When the simulation time is over, all the PDFs are converted into a GIF and the folders are downloaded