# Discretization of transient stokes equation using finite element method

 Register Blogs Members List Search Today's Posts Mark Forums Read December 25, 2021, 15:05 Discretization of transient stokes equation using finite element method #1 New Member   Join Date: Dec 2021 Posts: 1 Rep Power: 0 Hello, Before everything I need to apologize for not writing the equation in a suitable format, with a quick search I came to know that I have to use Latex but unfortunately I have no experience with Latex. I am trying to solve the transient stokes equation using finite element method. I discretized the equation using triangular element and ended up with below equation. Stokes equation: ∂u/∂t=ϑ∆u-∂P/ρ velocity x-direction: (LNN+dt*nu*DNDN)*(u_x at time step n+1)=LNN*(u_x at time step n)+dt/rho(transpose of NDNx)*(Pressure at time step n+1) velocity y-direction: (LNN+dt*nu*DNDN)*(u_y at time step n+1)=LNN*(u_y at time step n)+dt/rho(transpose of NDNy)*(Pressure at time step n+1)+g*LNN pressure equation: DNDN*(pressure at time step n+1)=-(rho/dt)*(transpose of NDNx* (u_x at time step n+1)+transpose NDNy*(u_y at time step n+1)) + (Transpose NDNx* gradient P in x direction)+(transpose NDNy*gradient P in y direction)) I used the dt=0.001, nu= 1e-3, density=1000 and gravity=10. The problem is I get very large value for pressure and I'm notsure whether the discretized equations are correct ot not. The initial value for ux=2, uy=0, pressure=0. Imagine the domain is between -1

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