AN ALGEBRAIC GRID GENERATION TECHNIQUE FOR THREE-DIMENSIONAL NATURAL RIVER REACHES

✍ Scribed by SINHA, SANJIV K.

• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 247 KB
• Volume: 13
• Category: Article
• ISSN: 1069-8299
• DOI: 10.1002/(sici)1099-0887(199706)13:6<475::aid-cnm76>3.0.co;2-4

✦ Synopsis

An algebraic grid generation scheme is presented to generate a three-dimensional non-orthogonal boundary-®tted grid for natural river reaches. The smooth distribution of the grid points along any coordinate direction, is performed using arc length as the controlling parameter along a cubic spline. The grid concentration in areas of large gradients is done using a simple segmentation process. If required, boundary orthogonality may be achieved through a projection from the boundary to the interior of the physical domain. The ®nal grid is obtained using an iterative procedure in each of the co-ordinate directions. The method is computationally ecient and has been kept very simple. Application of the method is demonstrated by generating a non-orthogonal three-dimensional grid for a 3 mile reach of the Columbia River, downstream of Wanapum Dam. The reach contains a variety of complex topographic features (including two islands) and provides an excellent test case.