How do i write the code for navierstokes equation in matlab/comsol?
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Precise Simulation on 10 May 2018
The incompressible Navier-Stokes equations is also available as a built-in pre-defined Navier-Stokes physics mode in the FEATool FEM Matlab toolbox. In this case the equations are in 2D defined as
rho_ns*u' - miu_ns*(2*ux_x + uy_y + vx_y) + rho_ns*(u*ux_t + v*uy_t) + p_x = Fx_ns
rho_ns*v' - miu_ns*(vx_x + uy_x + 2*vy_y) + rho_ns*(u*vx_t + v*vy_t) + p_y = Fy_ns
ux_t + vy_t = 0
the Navier-Stokes equations in axisymmetry (2D cylindrical coordinates) and 3D are defined similarly.
Ameer Hamza on 10 May 2018
You may find these FEX submission useful: