Accuracy and stability of a set of free-surface time-domain boundary element models based on B-splines

✍ Scribed by Bjarne Büchmann

• Publisher: John Wiley and Sons
• Year: 2000
• Tongue: English
• Weight: 291 KB
• Volume: 33
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/(sici)1097-0363(20000515)33:1<125::aid-fld5>3.0.co;2-q

✦ Synopsis

An analysis is given for the accuracy and stability of some perturbation-based time-domain boundary element models (BEMs) with B-spline basis functions, solving hydrodynamic free-surface problems, including forward speed effects. The spatial convergence rate is found as a function of the order of the B-spline basis. It is shown that for all the models examined the mixed implicit -explicit Euler time integration scheme is correct to second order. Stability diagrams are found for models based on B-splines of orders third through to sixth for two different time integration schemes. The stability analysis can be regarded as an extension of the analysis by Vada and Nakos [Vada T, Nakos DE. Time marching schemes for ship motion simulations. In Proceedings of the 8th International Workshop on Water Wa6es and Floating Bodies, St. John's, Newfoundland, Canada, 1993; 155 -158] to include B-splines of orders higher than three (piecewise quadratic polynomials) and to include finite water depth and a current at an oblique angle to the model grid.