Hi everyone, thanks for reading! I reduced the 2D Navier Stokes with energy to a problem that looks like this: u_x + v_y = 0 p_x = \frac{1}{Re} u_{yy} p_y = -Ri \ T \mathbf{u} \cdot \nabla T = \frac{1}{Pr} T_{yy} where Re, Ri, Pr are constants and \mathbf{u} = (u, w) and p, T are velo…

Derivative term in only one direction

bleyerj July 12, 2021, 2:51pm 4

Hi,
u.dx(0) is \partial u /\partial x and u.dx(1) is \partial u / \partial y.

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Action of the time derivative

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