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Equations

Hello !
 
I was wondering if it is possible to know about the equations (hydrodinamycs) that were used in the model (codes) to track the particles. It is because I need to describe the model in my thesis. 
 
Regards,
 
Luisa

Ichthyop version: 
Ichthyop 3.2
Hydrodynamic dataset: 
ROMS

Hi,

What equations do you need? There is not a lot of equations, except the RK4 one.

Nicolas

Hi Nicolas,
Thanks for your answer.
 
 I need the equations that were used in the code to track the particles (e.g Navier Stokes etc).
 
Regards,
 
Luisa

Hi.

Equations can be found in https://www.sciencedirect.com/science/article/pii/S136481520800025X

For advection, Navier Stokes equation is not used, but trajectory equations are used. For one particle:

U(t) = dX(t)/dt

V(t) = dY(t)/dt.

This equation is then integrated either using a Forward Euler numerical scheme (X(t+dt) = X(t) + U(t)*dt) or a Runge Kutta 4 scheme

Nicolas

Thanks Nicolas!