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Advice on the numerical solution of the 1D Navier-Stokes equations |
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May 4, 2016, 15:30 |
Advice on the numerical solution of the 1D Navier-Stokes equations
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Daniel Potter
Join Date: May 2016
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Hi all, the last few days I have been reading up on numerical methods, I was hoping to write a MATLAB code to solve the 1D Navier-Stokes equations for a uniform rectangular channel of depth and width :
(momentum) and: (continuity). where is the cross-sectionally averaged flow velocity and is the water surface elevation. The only forcing I am interested in is that of the tide. I would appreciate any pointers on how two go about solving these equations, from what I have read so far I am thinking of using the finite difference method, on a staggered grid, but with the coupling and the non-linear terms I am finding it tough going. If anyone would be able to point me in the right direction for any code or worked examples for analogous cases I would be very grateful, or even a good book with worked examples and code (MATLAB/FORTRAN/python) for CFD in general would be helpful. Thanks in advance and I hope this is the correct forum for this post. |
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