Dynamic positioning (DP) and tracking systems for ships are usually designed under the assumption that the kinematic equations can be linearized about a set of predeened constant yaw angles, typically 36 operating points in steps of 10 degrees, to cover the whole heading envelope. This is necessary when applying linear (Kalman lter) theory and gain scheduling techniques. However, global exponen...

Moving Particle Semi-implicit (MPS) which is a meshless and full Lagrangian method is employed to simulate nonlinear hydrodynamic behavior in a wide variety of engineering application including free surface water waves. In the present study, a numerical particle-based model is developed by the authors using MPS method to simulate different wave problems in the coastal waters. In this model flui...

The application of multidimensional digital ltering theory to the simulation of continuous systems with distributed parameters has been treated in various recent contributions. Here, two diierent concepts will be compared, using a lossy transmission line of nite extent as an example. One approach is based on multidimensional wave digital lters, the other on the derivation of a simulating struct...

We provide the rigorous derivation of wave kinetic equation from cubic nonlinear Schrödinger (NLS) at timescale, under a particular scaling law that describes limiting process. This solves main conjecture in theory turbulence, i.e. systems. Our result is analog Lanford’s theorem on Boltzmann particle systems, where both cases one takes thermodynamic limit as size system diverges to infinity, an...