Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 450, Issue -, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2021.110809
Keywords
Shallow water equations; Dispersive Serre equations; Serre-Green-Nagdhi; Hyperbolic relaxation; Topography effects; Dispersion wave equation
Funding
- National Science Foundation [DMS-1619892, DMS-1620058]
- Air Force Office of Scientific Research, USAF [FA9550-18-1-0397]
- Army Research Office [W911NF-19-1-0431]
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The objective of this paper is to propose a hyperbolic relaxation technique for the dispersive Serre-Green-Naghdi equations with full topography effects, and it is validated by comparison with experimental results.
The objective of this paper is to propose a hyperbolic relaxation technique for the dispersive Serre-Green-Naghdi equations (also known as the fully non-linear Boussinesq equations) with full topography effects introduced in [14] and [24]. This is done by revisiting a similar relaxation technique introduced in [17] with partial topography effects. We also derive a family of analytical solutions for the one-dimensional dispersive Serre-Green-Naghdi equations that are used to verify the correctness of the proposed relaxed model. The method is then numerically illustrated and validated by comparison with experimental results. (C) 2021 Elsevier Inc. All rights reserved.
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