Home >> Forums >> Equations

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!

Hello, my question is related to the previous topic. I wonder if it is possible to know the equations that integrate the wind in the tracking of the particle. Thanks this information is very useful for my research project. because Like the previous question i need to describe the model in my thesis. Thanks
 
regards