Performance of four numerical schemes for the unconfined flow (nonlinear Boussinesq) problem

✍ Scribed by Taigbenu, Akpofure

• Publisher: Wiley (John Wiley & Sons)
• Year: 1988
• Tongue: English
• Weight: 357 KB
• Volume: 4
• Category: Article
• ISSN: 0748-8025
• DOI: 10.1002/cnm.1630040117

✦ Synopsis

Numerical experiments are performed on four schemes of the boundary element method (BEM) for the unconfined flow (nonlinear Boussinesq) problem with a view to determining the scheme that gives the best performance. The performance measure of a scheme for a particular problem reflects the trade-off between accuracy and the CPU simulation time-a surrogate for computational cost or efficiency. The four schemes are adaptations of the theory earlier proposed by Taigbenu and Liggett.' Two of the schemes are predictorxorrector or iterative schemes, while the other two employ a linearization about the known initial data. The variety of schemes enhances the versatility of the boundary element theory in the sense that a program user has a greater flexibility in the choice of scheme which best serves his desired objectives.