Transparent boundary condition
Staggered grid scheme L = 1, N = 1025
Time step δt = 0.01
Dispersion parameter ε = 0.01
Gaussian initial data η(0,x) = 1 + exp
with zero velocity w(0,x) = 0.
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Transparent boundary condition
Collocated grid scheme L = 1, N = 1025
Time step δt = 0.001
Dispersion parameter ε = 0.01
Gaussian initial data η(0,x) = 1 + exp
with zero velocity w(0,x) = 0.
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Using the transparent boundary conditions on two subdomains
Staggered grid scheme L = 1, N = 1000
Blue : [0, Nδx] = [0,1]
the transparent boundary condition imposed at xℓ = 0, xr = 1
Red : [0 + 125δx,1 - 125δx],
the transparent boundary condition imposed at xℓ = 1,24e-1, xr = 8,74e-1
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Using TBC for the wave generation
Staggered grid scheme L = 1, N = 1025
Time step δt = 0.01
Dispersion parameter ε = 0.01
Incoming wave profile w(t,x) = sin(kx - ωt),
k = 2πp, p = 4, ω(k) is defined from plane wave solution.
The free surface η(t,x) is reconstructed at each time step with velocity w(t,x).
