Implementation of applied numerical experiments either in design phase, or in development and creation of software suites demands unique synthesis of numerical structures that describe physical phenomena to closely meet requirements of efficient application of simulation operations in the context of continuous graphical visualisation of all spatial processes. Requirements for declarative digital specification of ship hull geometry, contour lines of which are defined by continuous but multilvalued functions, are formulated in the context of a particular engineering problem. Key numerical operations define the hull motions in three-dimensional space under the impact of intense sea waves, simulated in the framework of trochoidal theory of group structure of wind waves and swell. Hydrometeorological parameters of sea state and ship dynamics, which are regularly documented in ship bridge in accordance with the standard instructions to seafarers, are used as initial conditions for setup and subsequent validation of direct numerical experiments.