点击次数：

论文类型：期刊论文

发表时间：2013-10-01

发表刊物：APPLIED OCEAN RESEARCH

收录刊物：SCIE、EI、Scopus

卷号：43

页面范围：11-20

ISSN号：0141-1187

关键字：Boussinesq equations; Hybrid model; MUSTA scheme; Wave propagation; Wave breaking

摘要：A hybrid finite-volume and finite-difference method is proposed for numerically solving the two-dimensional (20) extended Boussinesq equations. The governing equations are written in such a way that the convective flux is approximated using finite volume (FV) method while the remaining terms are discretized using finite difference (FD) method. Multi-stage (MUSTA) scheme, instead of commonly used FILL or Roe schemes, is adopted to evaluate the convective flux as it has the simplicity of centred scheme and accuracy of upwind scheme. The third order Runge-Kutta method is used for time marching. Wave breaking and wet-dry interface are also treated in the model. hi addition to model validation, the emphasis is given to compare the merits and limitations of using MUSTA scheme and HLL scheme in the model. The analytical and experimental data available in the literature have been used for the assessment. Numerical tests demonstrate that the developed model has the advantages of stability preserving, shock-capturing and numerical efficiency when applied in the complex nearshore region. Compared with that using HLL. scheme, the proposed model has comparable numerical accuracy, but requires slightly less computation time and is much simpler to code. (C) 2013 Elsevier Ltd. All rights reserved.