MARIN rudder mathematical model

What is it about?

This paper presents the mathematical model used in MARIN’s time domain software to describe the hydrodynamic loads excited by a rudder. The paper provides a detailed description of the mathematical model and its theory, along with highlighting the novel features that have been added to extend the model to four quadrants operations. Furthermore, the paper compares the mathematical model with experiments, showcasing the model’s capabilities and shortcomings. For this comparison, a spade rudder behind the KRISO Container Ship with and without a propeller upstream has been used as a case study to illustrate how the model performs in practice.

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Why is it important?

The main contribution of this paper is to publish the latest version (February 2024) of the mathematical rudder model for the MARIN time's domain simulation. Over the years, various mathematical models for rudders have been developed, drawing from the existing literature. Previous publications present the first version of the MARIN models, but further developments were not published. All these models have many advantages, from a sound physical meaning up to the easy applicability, and proved to be quite accurate for specific applications. What is also clear is that they might be limited. Therefore, there is a need for more flexible and robust rudder mathematical models.

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