caa a22 4500 606199519 CHVBK 20210128100939.0 cr unu---uuuuu 210128e20151001xx s 000 0 eng 10.1007/s11045-015-0321-z doi (NATIONALLICENCE)springer-10.1007/s11045-015-0321-z A new look at 2D shallow water equations of fluid dynamics via multidimensional Kirchhoff paradigm [Elektronische Daten] [Sankar Basu, Alfred Fettweis] We discuss a new method of how the (nonlinear) 2D shallow water fluid dynamic problems inspired by ocean hydraulics, meteorology etc. can be modeled by internally passive multidimensional Kirchhoff circuits which subsequently pave the way for robust numerical simulation of the system by wave digital techniques. While the specific fluid dynamic equations dealt with in this paper are important in their own right and can be used to model a number of physical phenomena, the treatment is only one of many examples of the basic tenet that it should be possible to model all properly described physical systems by multidimensional internally passive Kirchhoff circuits. We refer to this as the Kirchhoff paradigm. In the context of the present specific problem, the paper thus helps to bridge connections between physics and circuits and systems theory at a deeper level than has been exploited before. Springer Science+Business Media New York (outside the USA), 2015 Kirchhoff paradigm nationallicence Multidimensional circuits and systems nationallicence Fluid dynamics nationallicence Shallow water equations nationallicence Wave digital methods nationallicence Basu Sankar Division of Computing and Communications Foundations, National Science Foundation, 22230, Arlington, VA, USA aut Fettweis Alfred Lehrstuhl für Nachrichtentechnik, Ruhr-Universität Bochum, 44780, Bochum, Germany aut Multidimensional Systems and Signal Processing Springer US; http://www.springer-ny.com 26/4(2015-10-01), 1001-1034 0923-6082 26:4<1001 2015 26 11045 https://doi.org/10.1007/s11045-015-0321-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/s11045-015-0321-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Basu Sankar Division of Computing and Communications Foundations, National Science Foundation, 22230, Arlington, VA, USA aut NATIONALLICENCE 700 1- Fettweis Alfred Lehrstuhl für Nachrichtentechnik, Ruhr-Universität Bochum, 44780, Bochum, Germany aut NATIONALLICENCE 773 0- Multidimensional Systems and Signal Processing Springer US; http://www.springer-ny.com 26/4(2015-10-01), 1001-1034 0923-6082 26:4<1001 2015 26 11045