hello,
I hope that you are doing well and that the beginning of March is excellent. First of all, I would like to thank the researchers who responded to my last discussion on terrestrial albedo.
Today's discussion is about a problem I found in the numerical modeling of the convection phenomenon (heat transfer)
the goal is to dimension the prototype to be able to dimension it, so I used the finite difference method to discretize the equations of order 1 (I discretized time by a forward scheme and space by a backward scheme).
Despite this and after I wrote a program on python to be able to extract the results, I found values that are not logical for example the water temperature by heating with a radiation value of the order 500 W/m^2 -10 °C.
someone will give me an idea on what I should do or change ... ? the scheme? .........
thank you in advance
cordially
Firyal LATRACHE
If you are solving an heat equation like dT/dt=Div(k Grad T) you need to use central discretization in space. Using back/forward formulas for the derivatives is suitable for the discretization of the convective term Div (vT) under upwinding.
Filippo Maria Denaro Thank you very much for your answer. I am solving an equation of thermal convection like dT/dt=coefficient *dT/dz
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