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Update Hydrodynamics authored by Wijsman, Jeroen's avatar Wijsman, Jeroen
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Hydrodynamics.md
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# Water transport
The DEMO model has a very simple formulation for the hydrodynamics (exchange between the bordering compartments and the North Sea). It is assumed that the compartments are homogeneously mixed. For two neighboring compartments ($`i`$ and $`j`$), water is exchanged between both compartments with a constant rate of $`Ex_{i,j}`$ (m<sup>3</sup> d<sup>\-1</sup>). The rate is bidirectional, so the water transport rate from compartment $`i`$ to compartment $`j`$ is the same as the water transport rate from compartment $`j`$ to $`i`$. As a result, there is no net transport of water between the compartments and the volume remains constant.
The DEMO model has a very simple formulation for the hydrodynamics (exchange between the bordering compartments and the North Sea). It is assumed that the compartments are homogeneously mixed. For two neighboring compartments ($`i`$ and $`j`$), water is exchanged between both compartments with a constant rate of $`Ex_{i,j}`$ (m<sup>3</sup> d<sup>\-1</sup>). The rate is bidirectional, so the water transport rate from compartment $`i`$ to compartment $`j`$ is the same as the water transport rate from compartment $`j`$ to $`i`$. As a result, there is no net transport of water between the compartments and the volume remains constant.
```mermaid
flowchart LR;
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## 0D model
For the 0D model only 1 parameter (exchange rate between the North Sea and the Oosterschelde) had to be fitted. In the figure below, the fitted model is compared with the artificial data. The fitted model is used to calculate the average residence time ($`RT`$`, d) and turnover time (`$`TT`$, d) of the water within the compartment.
For the 0D model only 1 parameter (exchange rate between the North Sea and the Oosterschelde) had to be fitted. In the figure below, the fitted model is compared with the artificial data. The fitted model is used to calculate the average residence time ($`RT`$, d) and turnover time ($`TT`$, d) of the water within the compartment.
![Tracer_0D](uploads/411c1435151b2cb814366c6c89dd4d1d/Tracer_0D.png)
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