Peano
Loading...
Searching...
No Matches
Meteotsunami Validation Case (R1)

This scenario implements the canonical R1 Proudman-resonance benchmark used to validate meteotsunami solvers. A travelling atmospheric pressure disturbance moves across an idealised flat basin, and the generated free-surface response is compared for different water depths to recover the expected Froude-number-dependent amplification.

The underlying model is the two-dimensional nonlinear shallow-water system written in terms of the water depth \( h \), the depth-averaged momenta \( hu \) and \( hv \), and the bathymetry \( z \). In addition to the bathymetric source term, this scenario includes atmospheric pressure forcing, a constant Coriolis term, and Manning bottom friction. The physical benchmark geometry consists of a rectangular basin with a \( 300\,km \times 100\,km \) water-covered region plus attached land strips at both streamwise ends.

The benchmark forcing is a one-dimensional travelling pressure wave with background pressure \( P_0 = 101300\,Pa \), amplitude \( A_s = 100\,Pa \), translation speed \( U = 22.15\,m/s \), and period \( T_s = 1800\,s \). The bathymetry files in this directory cover the depth sweep \( H \in \{30,40,45,50,55,60,70\}\,m \), with the strongest amplification expected near \( Fr = U/\sqrt{gH} \approx 1 \).