Weakly nonlinear theories in electrohydrodynamics

Thread starter hunt_mat
Start date Jun 25, 2010
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Nonlinear Theories

AI Thread Summary

The discussion focuses on a derived equation for electrified fluid flow in a channel, resembling a Benjamin-Ono equation, with a numerical solution that aligns with expected results. However, when the nonlinear term is set to zero in the numerical code, the results do not match the analytical solution, showing a significant discrepancy. The author seeks insights into potential errors in the numerical implementation or the analytical approach. Suggestions and experiences related to similar issues in numerical and analytical comparisons are requested. The inquiry highlights challenges in reconciling numerical simulations with theoretical predictions in electrohydrodynamics.

Jun 25, 2010

hunt_mat

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I have been working on the problem of electrified fluid flow down a channel with a moving pressure distribution. I have derived an equation which describes the free surface of said fluid flow which is a Benjamin-Ono like equation. I have a numerical solution for this equation and it gives the sort of pictures that I expect.

I can ignore the nonlinear part of the equation and I can an equation which I can solve analytically via Fourier transforms. Here is what is winding me up: When I set the nonlinear term to zero in my numerical code and compare it to my analytical solution, they should match but they don't, it's almost a factor of 10 out.

Has anyone come across this sort of thing happening before? Is it something I've done wrong?

Any suggestions are always welcome.

Mat

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