The Tsunami model has need to fixed this problem

hi,

I found that the "https://ww2.mathworks.cn/help/symbolic/solve-a-partial-differential-equation-tsunami-simulation.html#d126e37561", it has the problem that soliton = @(x,t) A.*sech(sqrt(3/4*g*A/H)*(x/c2+t)).^2; ,but it not Conservation of Dimensions . I think that it should be soliton = @(x,t) A.*sech(sqrt(3/4*g*A/H^2)*(x/c2+t)).^2. And I want to confirm that. Thank you!

[Torsten]

The unit of

sqrt(3/4*g*A/H^2)

is sqrt(m)/s. I doubt this can be correct.

[aoming]

Thanks! thank you.But I actually have an another problem,

the code :S = fft(soliton(-0.8*TimeScale*c2, linspace(0,TimeScale,2*(Nt/2)-1)))';

S = repmat(S,1,Nx);

I would like to ask where the initial position of the waves is？ In the -0.8*TimeScale*c2？ and why it is minus value？

Answer 1

[the cyclist]

Disclaimer: I am not an expert in this!

I was not able to track down the exact (Goring & Reichlan) reference from the documentation, and therefore not the exact formula. But, I did find some related materials.

I'm guessing that you might be being fooled by having seen the formula where kappa is inside sech(), rather than g. Looking over some other reference, it seems to me that

kappa ~ g / H

which is where the "missing" dimension of H is hiding.

Another place that may have fooled you is that in the documentation, A is a dimensionless (divided by H) amplitude.

I hope that helps.

[aoming]

Thanks，cyclist!

But I actually have an another problem

the code :S = fft(soliton(-0.8*TimeScale*c2, linspace(0,TimeScale,2*(Nt/2)-1)))';

S = repmat(S,1,Nx);

I would like to ask where the initial position of the waves is？ In the -0.8*TimeScale*c2？ and why it is minus value？or the initial position is in the x_max = L2 + 12;？