# flow_sims

**Repository Path**: xlk159357/flow_sims

## Basic Information

- **Project Name**: flow_sims
- **Description**: No description available
- **Primary Language**: Python
- **License**: Not specified
- **Default Branch**: master
- **Homepage**: None
- **GVP Project**: No

## Statistics

- **Stars**: 0
- **Forks**: 0
- **Created**: 2021-10-10
- **Last Updated**: 2021-10-10

## Categories & Tags

**Categories**: Uncategorized

**Tags**: None

## README

# flow_sims

Problem: 2D Lid-Driven Cavity Flow

Solution Methods:
1. FDM - Finite Difference Method [1].
3. FEM - Galerkin finite element method [2]. 
2. FVM - SIMPLE algorithm with finite volume discretization [3,4,5]

Figures:
* Each folder contains solvers for pressure and velocity fields along with corresponding graphing functions
* performance_analysis.ipynb: Template code for velocity profile and runtime graphs.

References:

[1]. L.A. Barba, and G.F. Forsyth, CFD
Python: the 12 steps to Navier-Stokes equations. Journal of Open Source Education, 1(9), 21,
https://doi.org/10.21105/jose.00021 (2018).

[2].  E.G. Tsega and V.K. Katiyar. Finite Element
Solution of the Two-dimensional Incompressible NavierStokes Equations Using MATLAB, Applications and Applied Mathematics 13 (1) (2018).

[3].  M.J. Sarfi, 2D Lid Driven Cavity Flow using SIMPLE algorithm, MathWorks, (2018).

[4].  T. Sorensen and F. Hastrup-Nielson. A
Lid-Driven Cavity Flow, Technical University of Denmark, https://github.com/franzhastrup/MATLAB-Lid-Driven-Cavity-Flow/, (2015).

[5].  H. K. Versteeg and W. Malalasekera, An Introduction to Computational Fluid Dynamics: The Finite Volume Method, Longman Scientific and Technical, (1995).