A mathematical model of a liquid-loading vessel at the initial stages of design

To substantiate the main unknowns at the initial stages of design and, above all, during the re-search design, it is necessary to develop a mathematical model as sensitive as possible to changes in variable parameters, which can be any elements of the vessel or its subsystems. The need to ensure seaworthiness, such as buoyancy, stability, unsinkability, strength, seaworthiness and capacity requires the inclusion of these modules in modeling either in the form of calculation functions, such as determining precipitation from the equation of mass and buoyancy, or in the form of restrictions requiring, if not fulfilled, recalculation of the former. The paper describes a similar mathematical model in relation to an oil tanker of mixed (river-sea) navigation of the M-SP class of the Russian Classification Society. Its feature is the use of computer-aided design of the hull shape and the inclusion in the mathematical model of the actual calculation of the elements of buoyancy, initial stability and capacity, rather than using statistical dependencies for them, which significantly increases the adequacy of the final result.