thanks for the video. you explained the way you solve the next h each time step, but what about u and v velocites? is there some kind of transport step or advection? thansk!
Hi, nice video. I didn't get a huge part of it however ^^. May i ask you to give me some of the sources that were recquired to study that subject please ? In deed, I am trying to demonstrate the equations of waves on the surface of liquid miror telescopes, but i don't find anything that might help me. (i am not english, so it is surely the reason why i don't find that much things). I know that the Saint Venant model must be used. I just wrote Saint Venant in the RUclips Researchs and I found your video, so I guess there must be a link (even if I didn't understand wheter you talk about Saint Venant or not ^^). However the equations of the video at 1:00 don't really look like the ones I am trying to have. But maybe your sources or whatever you used to make this project are going to deal with it, and i have nothing else to do but trying ^^.
Hi, I'm currently trying to code them up in python. I'm using the same equations but with fluxes instead of velocities. If you did this. Can you suggest me the papers you've read? Thank you :)
Michael, thanks for the very nice presentation. I have a quick question. Are there analytical solutions to the coupled shallow water equations you presented? If yes, can you share a link with me. Many thanks.
No, I don't believe there are. Generally, coupled systems of nonlinear PDEs do not have closed form analytical solutions, especially those arising in fluid dynamics.
I haven't seen any general existence or uniqueness results for the SWEs. Special cases are more likely. If you happen to find one, I would be interested to know.
Can the finite element method be used for this model and simulation of shallow water equations?
Yes. You can read papers about Discontinuous Galerkin Methods.
Needs a Mascot..
This is very helpful sir , I salute you thanks
Cool video, any chance you could share the source code for it?
Basically, every oscillator will also contain some properties of the Duffing Oscillator?
can you please give us the model or make a vedio on the simulation part? u use simulink for generating that simulation?is so can we find that?
hi , may I get your model code? this is my email:peter2606696@gmail.com Thanks!
please answer this. How and what program did you use to draw the moving figure starting from 7:36
figures generated by Python, animation generated also by Python, using matplotlib
@@michaelmerritt5286 do u know if Matlab do the same?
great video, could you tell which algorithm you used for integrating this ODE?
Thanks for sharing, very interesting content!
yo
Great Video! Thank you for uploading :)
hi, can I get your schema code ?
here is my email: petitemile93@gmail.com
Thank you very good presentation!
Hello Michael Merritt Can u please explain me how to do it using matcont
Please do reply
thanks for the video. you explained the way you solve the next h each time step, but what about u and v velocites? is there some kind of transport step or advection? thansk!
Can you send the slides please?
Hi, nice video. I didn't get a huge part of it however ^^. May i ask you to give me some of the sources that were recquired to study that subject please ? In deed, I am trying to demonstrate the equations of waves on the surface of liquid miror telescopes, but i don't find anything that might help me. (i am not english, so it is surely the reason why i don't find that much things). I know that the Saint Venant model must be used. I just wrote Saint Venant in the RUclips Researchs and I found your video, so I guess there must be a link (even if I didn't understand wheter you talk about Saint Venant or not ^^). However the equations of the video at 1:00 don't really look like the ones I am trying to have. But maybe your sources or whatever you used to make this project are going to deal with it, and i have nothing else to do but trying ^^.
Hi, I'm currently trying to code them up in python. I'm using the same equations but with fluxes instead of velocities. If you did this. Can you suggest me the papers you've read? Thank you :)
Also what were your boundary and initial conditions?
My initial condition was the two Gaussians for height and no initial velocity. If memory serves, I used free boundary conditions.
Thank you.
Michael, thanks for the very nice presentation. I have a quick question. Are there analytical solutions to the coupled shallow water equations you presented? If yes, can you share a link with me. Many thanks.
No, I don't believe there are. Generally, coupled systems of nonlinear PDEs do not have closed form analytical solutions, especially those arising in fluid dynamics.
I see. But we know that a (possibly unique) solution exists for this system even if the closed form is not known, correct?
I haven't seen any general existence or uniqueness results for the SWEs. Special cases are more likely. If you happen to find one, I would be interested to know.
Thx! Helped me a lot!