I simulate the flow of water in a rectangular channel heated from below with the boussinesq approximation. When I apply a heat flux greater than 1000 (w/m2) the simulation diverges.
the dimensions of the channel are 2.4 m length, 20 cm width, 2 cm height. Can you help me ?
finally thank you.
Benbeghila Aymen When a computer tries to conduct a computation with a value that is too large or too tiny to be represented as a conventional floating point number, a "floating point exception" occurs.
The heat flow of 1000 W/m2 is most likely causing certain numbers in your simulation to become too big, resulting in the exception.
One solution would be to reduce the heat flow to a lesser number that your simulation can manage. You might also try running the simulation with a lower time step or using a more robust numerical approach to solve the equations.
It is also likely that the channel dimensions are producing some numerical instability, given the channel's height and breadth are modest in comparison to its length. You might want to experiment with changing the height and breadth of the channel to see if it improves simulation stability.
It is also critical to determine if the Boussinesq approximation is applicable in your scenario, as it is only applicable for tiny temperature swings.
Please let me know if you have any more questions or if there is anything else I can do to assist you.
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