TY - JOUR
T1 - Fast shallow water-wave solver for plane inclined beaches
AU - Bueler-Faudree, Thomas
AU - Delamere, Sam
AU - Dutykh, Denys
AU - Rybkin, Alexei
AU - Suleimani, Alexander
N1 - Funding Information:
We would like to thank anonymous referees for careful reading of the manuscript and their valuable comments, which have been very helpful in improving the manuscript. Alexei Rybkin acknowledges support from National Science Foundation Grant (NSF), USA award DMS-1411560 . Thomas Bueler, Sam Delamere, Alexei Rybkin, and Alex Suleimani acknowledge support from National Science Foundation Grant (NSF), USA award DMS-1716975 . The work of Denys Dutykh has been supported by the French National Research Agency through the Investments for Future Program (ref. ANREURE — Solar Academy).
Publisher Copyright:
© 2022 The Authors
PY - 2022/1
Y1 - 2022/1
N2 - CANWA (Comparative Analytical Numerical Wave Algorithm), written in MATLAB, provides a fast, direct comparison of a general finite volume solution to the 1+1 shallow water wave equations with a robust analytical solution recently presented by Nicolsky et al. (2018). The implementation of the method for data projection, introduced in Nicolsky et al. (2018), solves the initial value problem produced by the Carrier-Greenspan transformation, allows for highly accurate simulations of waves with nonzero initial velocities. Additionally, an L2 analysis of error grants a comparison of solutions across the entire spatial domain. Simulations of both solitary and N-waves reveal that the numerical method consistently yields larger inundation zones than the analytical solution.
AB - CANWA (Comparative Analytical Numerical Wave Algorithm), written in MATLAB, provides a fast, direct comparison of a general finite volume solution to the 1+1 shallow water wave equations with a robust analytical solution recently presented by Nicolsky et al. (2018). The implementation of the method for data projection, introduced in Nicolsky et al. (2018), solves the initial value problem produced by the Carrier-Greenspan transformation, allows for highly accurate simulations of waves with nonzero initial velocities. Additionally, an L2 analysis of error grants a comparison of solutions across the entire spatial domain. Simulations of both solitary and N-waves reveal that the numerical method consistently yields larger inundation zones than the analytical solution.
KW - Data projection
KW - Shallow water equations
KW - Tsunami run-up
UR - http://www.scopus.com/inward/record.url?scp=85123789535&partnerID=8YFLogxK
U2 - 10.1016/j.softx.2022.100983
DO - 10.1016/j.softx.2022.100983
M3 - Article
AN - SCOPUS:85123789535
SN - 2352-7110
VL - 17
JO - SoftwareX
JF - SoftwareX
M1 - 100983
ER -