Numerical modeling of nonlinear ship-wave interactions

A computer program product for residence in the memory of a computer, said computer program product comprising a computer-useable medium having computer program logic recorded thereon, said computer program product being for modeling hydrodynamics of a ship and water waves, said computer program logic including:

• means for determining a boundary described by a ship, said determining of said boundary including determining the pressure at said boundary, said determining of said pressure being contextualized in a ship normal vector coordinate system, said ship normal vector coordinate system being a non-Cartesian coordinate system;
• means for determining a nonlinear interaction between said ship and incident waves, said determining of said nonlinear interaction including using spectral method;
• and
• means for mutually transforming information between said boundary and said nonlinear interaction;
• wherein said determining of said pressure includes:
• establishing a pressure dichotomy of a ship-absent pressure kind and a ship-present pressure kind, said ship-absence pressure kind being characterized by absence of said ship, said ship-present pressure kind being characterized by presence of said ship, said ship-absent pressure kind including a ship-absent pressure pf and a ship-absent modified pressure p*, said ship-present pressure kind including a ship-present pressure p and a ship-present pressure correction Δp, said ship-present pressure p being said pressure being solved for;
• and
• obtaining said ship-present pressure p based on said ship-absent pressure pf and said ship-present pressure correction Δp, said ship-present pressure p being defined as the sum of said ship-absent pressure pf and said ship-present pressure correction Δp, said ship-absent pressure pf being related to said ship-absent modified pressure p*;
• said ship-present pressure p being related to said ship-present pressure correction Δp.