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|Title:||A staggered-grid numerical algorithm for the extended Boussinesq equations|
|Authors:||Lin, P. |
|Citation:||Lin, P., Man, C. (2007-02). A staggered-grid numerical algorithm for the extended Boussinesq equations. Applied Mathematical Modelling 31 (2) : 349-368. ScholarBank@NUS Repository. https://doi.org/10.1016/j.apm.2005.11.012|
|Abstract:||A second-order accurate numerical scheme is developed to solve Nwogu's extended Boussinesq equations. A staggered-grid system is introduced with the first-order spatial derivatives being discretized by the fourth-order accurate finite-difference scheme. For the time derivatives, the fourth-order accurate Adams predictor-corrector method is used. The numerical method is validated against available analytical solutions, other numerical results of Navier-Stokes equations, and experimental data for both 1D and 2D nonlinear wave transformation problems. It is shown that the new algorithm has very good conservative characteristics for mass calculation. As a result, the model can provide accurate and stable results for long-term simulation. The model has proven to be a useful modeling tool for a wide range of water wave problems. © 2005 Elsevier Inc. All rights reserved.|
|Source Title:||Applied Mathematical Modelling|
|Appears in Collections:||Staff Publications|
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