期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 273, 期 -, 页码 572-588出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2014.05.035
关键词
Rotational Boussinesq-Green-Naghdi; Discontinuous Galerkin; Mixed space-time derivatives; Unstructured mesh; Surf-zone; Non-conservative
资金
- National Science Foundation [OCE 1025561, 1025519]
- Directorate For Geosciences
- Division Of Ocean Sciences [1025519] Funding Source: National Science Foundation
- Directorate For Geosciences
- Division Of Ocean Sciences [1025561] Funding Source: National Science Foundation
A local discontinuous Galerkin method for Boussinesq-Green-Naghdi equations is presented and validated against experimental results for wave transformation over a submerged shoal. Currently Green-Naghdi equations have many variants. In this paper a numerical method in one dimension is presented for the Green-Naghdi equations based on rotational characteristics in the velocity field. Stability criterion is also established for the linearized Green-Naghdi equations for both the analytical problem and the numerical method. Verification is done against a linearized standing wave problem in flat bathymetry and h, p (denoted by K in this paper) error rates are plotted. Validation plots show good agreement of the numerical results with the experimental ones. (C) 2014 Elsevier Inc. All rights reserved.
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