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The "STEADY_NAVIER_STOKES" script solves the 2D steady Navier-Stokes equations.
The space discretization is performed by means of the standard Galerkin approach.
Bilinear quadrangular elements are used for the pressure and biquadratic quadrangular elements are used for the velocity.
This pressure and velocity interpolation satisfies the so-called LBB condition, which ensures the solvability of the algebraic system.
The FEM parameters such as the number of finite elements and the number of Gauss integration points can be easily chosen.
The functions and the examples are developed according with Chapter 6 "Viscous incompressible flows" of the book "Finite Element Methods for flow problems" of Jean Donea and Antonio Huerta.
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Cite As
Andrea La Spina (2026). 2D Steady Navier-Stokes (https://www.mathworks.com/matlabcentral/fileexchange/60868-2d-steady-navier-stokes), MATLAB Central File Exchange. Retrieved .
General Information
- Version 2.1 (96.5 KB)
MATLAB Release Compatibility
- Compatible with any release
Platform Compatibility
- Windows
- macOS
- Linux
