Research project, Financed by Croatian Scientific Foundation (2011.-)

Principal researcher

Main associate

Associates

Abstract

The goal of the project is to develop geometric numerical integrators on manifolds for the purpose of stable and numerically efficient dynamic simulation of the constrained multibody systems, with a special focus on flight vehicle dynamics and related multibody systems (elastic wind-turbines, mechatronical and biomechanical systems, terrestrial vehicles, space satellites etc.). The project will allow for continuation of the successful scientific collaboration with the international partners and will enable Laboratory of Flight Vehicle Dynamics and Structural Systems (Faculty Mech. Eng. & Naval Arch., Univ. Zagreb) to maintain and improve scientific excellence in the targeted field through the scientific collaboration with the distinguished EU scientists and research institutions. Also, the project will improve strategical bonds between Faculty Mech. Eng. & Naval Arch and industrial subjects that are active in domain of industrial simulations. After evaluation of the chosen ODE integrators on Lie groups in the context of their application within the framework of integration of dynamics of rigid and elastic bodies, the geometric numerical integration algorithms on manifolds will be designed and applied on dynamics simulation of the chosen engineering systems (dynamic simulator of the flight vehicle, elastic wind-turbine). Numerical characteristics of the developed geometric algorithms will be evaluated and compared with the characteristics of the 'classical' DAE (differential-algebraic equations) solvers that operate in the vectorial spaces. It is expected that the geometric algorithms will perform better in terms of numerical accuracy, stability and efficiency within the context of the targeted tasks. The chosen numerical simulation procedures will be implemented in the OpenFoam simulation package, what will give an opportunity for a wide dissemination and a usage of the project results within a scientific and industrial community.

Publications