A new look at 2D shallow water equations of fluid dynamics via multidimensional Kirchhoff paradigm

DOI10.1007/s11045-015-0321-zzbMath1368.35233OpenAlexW2060275476MaRDI QIDQ2014060

Alfred Fettweis, Sankar Basu

Publication date: 10 August 2017

Published in: Multidimensional Systems and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11045-015-0321-z

zbMATH Keywords

shallow water equationsfluid dynamicsKirchhoff paradigmmultidimensional circuits and systemswave digital methods

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Analytic circuit theory (94C05) Euler equations (35Q31)

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Cites Work

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• Well-balanced and energy stable schemes for the shallow water equations with discontinuous topography
• Multidimensional causality and passivity of linear and nonlinear systems arising from physics
• Robust numerical integration using wave-digital concepts
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• The resolution of the identity for selfadjoint Toeplitz operators with rational matrix symbol
• Numerical integration of partial differential equations using principles of multidimensional wave digital filters
• Energy-Preserving and Stable Approximations for the Two-Dimensional Shallow Water Equations
• Modeling and Visualization of a Time-Dependent Shallow Water System Using Nonlinear Kirchhoff Circuit

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