“Finite Element Modelling of the Hydrodynamic Environment of a Small ROV”

Authors: Ren Guang and Jens G. Balchen,
Affiliation: Dalian Maritime University (China) and NTNU, Department of Engineering Cybernetics
Reference: 1993, Vol 14, No 3, pp. 145-159.

Keywords: Moving boundary, finite element, hydrodynamic model, AUV

Abstract: This paper addresses a practical problem, namely, modeling the hydrodynamic environment of a small ROV. This has become the problem of solving time-dependent incompressible Navier-Stokes equations with moving boundaries and a new method is developed to solve it. Navier-Stokes equations expressed in a moving-body-fixed coordinate frame with moving boundaries are derived and solved by a proposed finite element method which is a modified velocity correction procedure (Ren and Utnes 1993). The present method is implemented in the C language on a SUN/Sparc Station. The algorithm and program are demonstrated by solving a classic driven cavity flow problem and a simplified model of the hydrodynamic environment of a small ROV, which is a moving boundary problem. The results from the driven cavity flow problem are compared to previous work. A definition is also given of the moving boundary problem (MBP) related to the solution of Navier-Stokes equations.

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  title={{Finite Element Modelling of the Hydrodynamic Environment of a Small ROV}},
  author={Guang, Ren and Balchen, Jens G.},
  journal={Modeling, Identification and Control},
  publisher={Norwegian Society of Automatic Control}