| Title: | FINITE VOLUME SOLUTION OF BOUSSINESQ-TYPE EQUATIONS ON AN UNSTRUCTURED GRID |
| DOI No: | 10.1142/9789812709554_0007 |
| Source: | COASTAL ENGINEERING 2006 (pp 73-85)
|
| Author(s): | Walid El Asmar
Dept. of Naval Arch. and Marine Eng., University of Michigan, Ann Arbor, MI, 48109-2145, USA
Okey Nwogu
Dept. of Naval Arch. and Marine Eng., University of Michigan, Ann Arbor, MI, 48109-2145, USA
|
| Abstract: | A new numerical method is developed to solve a set of two-dimensional Boussinesq water wave evolution equations over an unstructured grid. The governing mass and momentum conservation equations are discretized over an irregular triangular grid, with a staggered placement of the variables. The free surface elevation is defined at the centroid of the triangles, while the normal component of the velocity is defined at the mid-point of the triangle edges. The mass conservation equation is then integrated over a control volume defined over each triangle while the momentum equations are integrated over a control volume formed from two adjacent triangles. A modified Crank-Nicolson scheme is used to integrate the equations in time. Two numerical experiments are used to evaluate the conservation properties and accuracy of the numerical method: solitary wave propagation in a curved channel, and interaction of solitary waves with a vertical circular cylinder. |
| Full Text: | View full text in PDF format (656KB) |
| TOC: | Back to Table of Contents |
|
|
