1m. The second wave is influxed from the x  -axis for x∈[11,150]x∈[11,150] and has period 2.2s, amplitude 0.1m and makes an angle

buy INK 128 of 30°30° with the positive x-axis. Simulation of the nonlinear bidirectional biharmonic waves is done with influxing for individual flap motion using the source term given by (21) in the nonlinear AB2-spectral code. The simulated elevation is shown in the density plot of Fig. 9 at time t=300s; the time signals at one position are compared with measurements for each individual wave and for the two waves together. The interaction shows the characteristic pattern of oblique bichromatic waves with small nonlinear effects. 1D simulations with the finite element VBM code are performed to illustrate six different influxing methods. Elevation see more and velocity influxing is used to generate symmetric or skew-symmetric bi-directional waves or to produce only forward propagation waves. Area influxing is used with taking for the spatial function in the sources (11) the function γ(x)γ(x) related to the group velocity in Fourier space (2). The six simulations are done for 60s on 1m water depth. The computational domain is from x=−50m until x=50m with the wave generation at the origin. The signal to be influxed is chosen to be a bipolar given by η0(t)=0.2(t−30)exp(−(t−30)2)η0(t)=0.2(t−30)exp(−(t−30)2)The

corresponding initial signal for the velocity influxing is found from u0(t)=^iK1(ω)ϕ^0 with ϕ^0=(−ig)η^0(ω)/ω. Doxacurium chloride Fig. 10 shows plots of the simulation results for the wave profile at time 40s; both elevation and velocity generation give the same result as expected. In a rather straightforward way source functions have been derived that are added to first and second order time equations of Boussinesq type to

generate desired wave fields. It was shown that the source functions are not unique, but that the temporal–spatial Fourier transform is unique when the dispersion relation is satisfied. This ambiguity of the source function has been exploited to reduce or enlarge the extent of the generation area. Influxing from a point or line requires the modified signal to be higher, due to the multiplication in temporal Fourier space with the group velocity of the desired influx signal; for generation areas of larger extent, the modified signal is lower, but the waves are only accurate outside the generation area. Various test cases shown above illustrated the quality of wave generation by comparing with experimental data. The generation methods presented here were used in various other cases, such as simulations of irregular waves entering a harbour and simulation of bi-modal sea states consisting of swell and wind waves for research on predicting elevation at the position of a radar that scans the surrounding area with a nautical x-band radar. A report about nonlinear simulations for MARIN experiments of short crested waves is in preparation.