Numerical simulation of three-dimensional free surface flow in isopycnal co-ordinates

✍ Scribed by Vincenzo Casulli

• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 296 KB
• Volume: 25
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/(sici)1097-0363(19970930)25:6<645::aid-fld579>3.0.co;2-l

✦ Synopsis

In this paper a semi-implicit method for three-dimensional circulation in isopycnal co-ordinates is derived and discussed. It is assumed that the ¯ow is hydrostatic and characterized by isopycnal surfaces which can be represented by explicit, single-valued functions. The hydrostatic pressure is determined by using the conjugate gradient method to solve a block pentadiagonal linear system. The horizontal velocities are determined by solving a large set of tridiagonal systems. The stability of the resulting algorithm is shown to be independent of the surface and internal gravity wave speeds.