NUMERICAL STABILITY ANALYSIS FOR TIME-DOMAIN SHIP MOTION SIMULATIONS

This paper studies the numerical stability of Newton's rigid-body equations of motion for a ship advancing in waves in the time domain. The strong memory effects associated with the free-surface flow and the dependence of the fluid force upon the ship displacement, velocity, and acceleration introduce a degree of complexity not encountered in ordinary differential equations free of strong memory effects. Drawing upon the physics of the continuous problem, a rational stability theory is developed that permits the development of stable and efficient integration methods of the multi- step or Runge-Kutta variety. Upper bounds for the time step are derived and the resulting performance of various integration schemes is demonstrated in motion simulations for realistic ships.

• Supplemental Notes:
  • J Ship Research, v 39 n 4, Dec 1995, p 313 [8 p, 16 ref, 6 fig]
• Authors:
  • Kring, D
  • Sclavounos, P D
• Publication Date: 1995

Language

• English

Subject/Index Terms

• TRT Terms: Equations of motion; Ship motion; Time; Time domain analysis
• Subject Areas: Marine Transportation;

Filing Info

• Accession Number: 00727527
• Record Type: Publication
• Source Agency: British Maritime Technology
• Files: TRIS
• Created Date: Nov 1 1996 12:00AM