I have a question in terms of efficiency.
I'm interested in the heat flow through a flowing medium. I don't assume that a temperature change will influence any properties of the flow problem. This means I want to solve
${\displaystyle {\frac {\partial c}{\partial t}}=\nabla \cdot (D\nabla c)-\nabla \cdot ({\vec {v}}c)}$
where $\vec {v}$ is the solution of a Navier-Stokes equation in this area.
This is part of an optimization problem, so I'll have to solve this quite a couple of times. Since I don't assume that the flow problem changes in any way, I don't have to solve it again after the first time (I just care about the heat transport here).
Is it possible to save the solution of $\vec {v}$ in a file and load it later again when solving the problem for the next time?
