Comparison of linear and nonlinear shallow wave water equations applied to tsunami waves over the China Sea

Yingchun Liu; Yaolin Shi; David A. Yuen; Erik O.D. Sevre; Xiaoru Yuan; Hui Lin Xing

doi:10.1007/s11440-008-0073-0

Comparison of linear and nonlinear shallow wave water equations applied to tsunami waves over the China Sea

Yingchun Liu, Yaolin Shi, David A. Yuen, Erik O.D. Sevre, Xiaoru Yuan, Hui Lin Xing

Earth and Environmental Sciences-Twin Cities

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

This paper discusses the applications of linear and nonlinear shallow water wave equations in practical tsunami simulations. We verify which hydrodynamic theory would be most appropriate for different ocean depths. The linear and nonlinear shallow water wave equations in describing tsunami wave propagation are compared for the China Sea. There is a critical zone between 400 and 500 m depth for employing linear and nonlinear models. Furthermore, the bottom frictional term exerts a noticeable influence on the propagation of the nonlinear waves in shallow water. We also apply different models based on these characteristics for forecasting potential seismogenic tsunamis along the Chinese coast. Our results indicate that tsunami waves can be modeled with linear theory with enough accuracy in South China Sea, but the nonlinear terms should not be neglected in the eastern China Sea region.

Original language	English (US)
Pages (from-to)	129-137
Number of pages	9
Journal	Acta Geotechnica
Volume	4
Issue number	2
DOIs	https://doi.org/10.1007/s11440-008-0073-0
State	Published - Jun 2009

Bibliographical note

Funding Information:
Acknowledgments We would like to thank Professor Fumihiko Imamura for providing computational codes TUNAMI_N1 and TUNAMI_N2, and his kind guidance on tsunami numerical modeling. This research is supported by National Science Foundation of China (NSFC-40574021, 40728004) and the EAR program of the US National Science Foundation.

Keywords

China Sea
Nonlinear shallow-water equations
Numerical computation
Tsunami waves

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10.1007/s11440-008-0073-0

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title = "Comparison of linear and nonlinear shallow wave water equations applied to tsunami waves over the China Sea",

abstract = "This paper discusses the applications of linear and nonlinear shallow water wave equations in practical tsunami simulations. We verify which hydrodynamic theory would be most appropriate for different ocean depths. The linear and nonlinear shallow water wave equations in describing tsunami wave propagation are compared for the China Sea. There is a critical zone between 400 and 500 m depth for employing linear and nonlinear models. Furthermore, the bottom frictional term exerts a noticeable influence on the propagation of the nonlinear waves in shallow water. We also apply different models based on these characteristics for forecasting potential seismogenic tsunamis along the Chinese coast. Our results indicate that tsunami waves can be modeled with linear theory with enough accuracy in South China Sea, but the nonlinear terms should not be neglected in the eastern China Sea region.",

keywords = "China Sea, Nonlinear shallow-water equations, Numerical computation, Tsunami waves",

author = "Yingchun Liu and Yaolin Shi and Yuen, {David A.} and Sevre, {Erik O.D.} and Xiaoru Yuan and Xing, {Hui Lin}",

note = "Funding Information: Acknowledgments We would like to thank Professor Fumihiko Imamura for providing computational codes TUNAMI_N1 and TUNAMI_N2, and his kind guidance on tsunami numerical modeling. This research is supported by National Science Foundation of China (NSFC-40574021, 40728004) and the EAR program of the US National Science Foundation.",

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AU - Liu, Yingchun

AU - Shi, Yaolin

AU - Yuen, David A.

AU - Sevre, Erik O.D.

AU - Yuan, Xiaoru

AU - Xing, Hui Lin

N1 - Funding Information: Acknowledgments We would like to thank Professor Fumihiko Imamura for providing computational codes TUNAMI_N1 and TUNAMI_N2, and his kind guidance on tsunami numerical modeling. This research is supported by National Science Foundation of China (NSFC-40574021, 40728004) and the EAR program of the US National Science Foundation.

PY - 2009/6

Y1 - 2009/6

N2 - This paper discusses the applications of linear and nonlinear shallow water wave equations in practical tsunami simulations. We verify which hydrodynamic theory would be most appropriate for different ocean depths. The linear and nonlinear shallow water wave equations in describing tsunami wave propagation are compared for the China Sea. There is a critical zone between 400 and 500 m depth for employing linear and nonlinear models. Furthermore, the bottom frictional term exerts a noticeable influence on the propagation of the nonlinear waves in shallow water. We also apply different models based on these characteristics for forecasting potential seismogenic tsunamis along the Chinese coast. Our results indicate that tsunami waves can be modeled with linear theory with enough accuracy in South China Sea, but the nonlinear terms should not be neglected in the eastern China Sea region.

AB - This paper discusses the applications of linear and nonlinear shallow water wave equations in practical tsunami simulations. We verify which hydrodynamic theory would be most appropriate for different ocean depths. The linear and nonlinear shallow water wave equations in describing tsunami wave propagation are compared for the China Sea. There is a critical zone between 400 and 500 m depth for employing linear and nonlinear models. Furthermore, the bottom frictional term exerts a noticeable influence on the propagation of the nonlinear waves in shallow water. We also apply different models based on these characteristics for forecasting potential seismogenic tsunamis along the Chinese coast. Our results indicate that tsunami waves can be modeled with linear theory with enough accuracy in South China Sea, but the nonlinear terms should not be neglected in the eastern China Sea region.

KW - China Sea

KW - Nonlinear shallow-water equations

KW - Numerical computation

KW - Tsunami waves

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Comparison of linear and nonlinear shallow wave water equations applied to tsunami waves over the China Sea

Abstract

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