caa a22 4500 605546681 CHVBK 20210128105200.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s10236-015-0893-z doi (NATIONALLICENCE)springer-10.1007/s10236-015-0893-z Xu Zhigang Fisheries and Oceans Canada, Maurice Lamontagne Institute, Mont-Joli, Quebec, Canada aut The all-source Green's function (ASGF) and its applications to storm surge modeling, part I: from the governing equations to the ASGF convolution [Elektronische Daten] [Zhigang Xu] In this study, a new method of storm surge modeling is proposed. This method is orders of magnitude faster than the traditional method within the linear dynamics framework. The tremendous enhancement of the computational efficiency results from the use of a pre-calculated all-source Green's function (ASGF), which connects a point of interest (POI) to the rest of the world ocean. Once the ASGF has been pre-calculated, it can be repeatedly used to quickly produce a time series of a storm surge at the POI. Using the ASGF, storm surge modeling can be simplified as its convolution with an atmospheric forcing field. If the ASGF is prepared with the global ocean as the model domain, the output of the convolution is free of the effects of artificial open-water boundary conditions. Being the first part of this study, this paper presents mathematical derivations from the linearized and depth-averaged shallow-water equations to the ASGF convolution, establishes various auxiliary concepts that will be useful throughout the study, and interprets the meaning of the ASGF from different perspectives. This paves the way for the ASGF convolution to be further developed as a data-assimilative regression model in part II. Five Appendixes provide additional details about the algorithm and the MATLAB functions. The Author(s), 2015 Shallow-water equations nationallicence Storm surges nationallicence The all-source Green's functions (ASGFs) nationallicence Convolution nationallicence Ocean Dynamics Springer Berlin Heidelberg 65/12(2015-12-01), 1743-1760 1616-7341 65:12<1743 2015 65 10236 https://doi.org/10.1007/s10236-015-0893-z text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10236-015-0893-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Xu Zhigang Fisheries and Oceans Canada, Maurice Lamontagne Institute, Mont-Joli, Quebec, Canada aut NATIONALLICENCE 773 0- Ocean Dynamics Springer Berlin Heidelberg 65/12(2015-12-01), 1743-1760 1616-7341 65:12<1743 2015 65 10236 SWISSBIB 605546630