# A new numerical model for propagation of tsunami waves

Kybernetika (2007)

- Volume: 43, Issue: 6, page 893-902
- ISSN: 0023-5954

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topŠvadlenka, Karel. "A new numerical model for propagation of tsunami waves." Kybernetika 43.6 (2007): 893-902. <http://eudml.org/doc/33905>.

@article{Švadlenka2007,

abstract = {A new model for propagation of long waves including the coastal area is introduced. This model considers only the motion of the surface of the sea under the condition of preservation of mass and the sea floor is inserted into the model as an obstacle to the motion. Thus we obtain a constrained hyperbolic free-boundary problem which is then solved numerically by a minimizing method called the discrete Morse semi-flow. The results of the computation in 1D show the adequacy of the proposed model.},

author = {Švadlenka, Karel},

journal = {Kybernetika},

keywords = {long waves; nonlinear hyperbolic equation; volume constraint; free boundary; variational method; discrete Morse semi-flow; FEM; long waves; volume constraint; variational method; discrete Morse semi-flow; FEM; coastal area; constrained hyperbolic free-boundary problem},

language = {eng},

number = {6},

pages = {893-902},

publisher = {Institute of Information Theory and Automation AS CR},

title = {A new numerical model for propagation of tsunami waves},

url = {http://eudml.org/doc/33905},

volume = {43},

year = {2007},

}

TY - JOUR

AU - Švadlenka, Karel

TI - A new numerical model for propagation of tsunami waves

JO - Kybernetika

PY - 2007

PB - Institute of Information Theory and Automation AS CR

VL - 43

IS - 6

SP - 893

EP - 902

AB - A new model for propagation of long waves including the coastal area is introduced. This model considers only the motion of the surface of the sea under the condition of preservation of mass and the sea floor is inserted into the model as an obstacle to the motion. Thus we obtain a constrained hyperbolic free-boundary problem which is then solved numerically by a minimizing method called the discrete Morse semi-flow. The results of the computation in 1D show the adequacy of the proposed model.

LA - eng

KW - long waves; nonlinear hyperbolic equation; volume constraint; free boundary; variational method; discrete Morse semi-flow; FEM; long waves; volume constraint; variational method; discrete Morse semi-flow; FEM; coastal area; constrained hyperbolic free-boundary problem

UR - http://eudml.org/doc/33905

ER -

## References

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- Nagasawa T., Omata S., Discrete Morse semiflows of a functional with free boundary, Adv. Math. Sci. Appl. 2 (1993), 147–187 (1993) Zbl0795.35150MR1239254
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- Švadlenka K., Omata S., Construction of weak solution to hyperbolic problem with volume constraint, Submitted to Nonlinear Anal
- Yamazaki T., Omata S., Švadlenka, K., Ohara K., Construction of approximate solution to a hyperbolic free boundary problem with volume constraint and its numerical computation, Adv. Math. Sci. Appl. 16 (2006), 57–67 Zbl1122.35159MR2253225
- Yoshiuchi H., Omata S., Švadlenka, K., Ohara K., Numerical solution of film vibration with obstacle, Adv. Math. Sci. Appl. 16 (2006), 33–43 Zbl1122.35160MR2253223

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