The practically important problem of the wave run-up is studied in this article in the framework ... more The practically important problem of the wave run-up is studied in this article in the framework of Nonlinear Shallow Water Equations (NSWE). The main novelty consists in the usage of high order local asymptotic analytical solutions in the vicinity of the shoreline. Namely, we use the analytical techniques introduced by S. Kovalevskaya and the analogy with the compressible gas dynamics (i.e. gas outflow problem into the vacuum). Our run-up algorithm covers all the possible cases of the wave slope on the shoreline and it incorporates the new analytical information in order to determine the shoreline motion to higher accuracy. The application of this algorithm is illustrated on several important practical examples. Finally, the simulation results are compared with the well-known analytical and experimental predictions.
... to classical Nonlinear Shallow Water Equations (NSWE) for which the runup simulation technolo... more ... to classical Nonlinear Shallow Water Equations (NSWE) for which the runup simulation technology is ... 2005) 9. Ghidaglia, JM, Kumbaro, A., Coq, GL: On the numerical solution to ... Dias, F.: Comparison between three-dimensional linear and nonlin-ear tsunami generation models. ...
The main reason for the generation of tsunamis is the deformation of the bottom of the ocean caus... more The main reason for the generation of tsunamis is the deformation of the bottom of the ocean caused by an underwater earthquake. Usually, only the vertical bottom motion is taken into accound while the horizontal co-seismic displacements are neglected in the absence of landslides. In the present study we propose a novel methodology for reconstructing all components of the bottom
The main reason for the generation of tsunamis is the deformation of the bottom of the ocean caus... more The main reason for the generation of tsunamis is the deformation of the bottom of the ocean caused by an underwater earthquake. Usually, only the vertical bottom motion is taken into accound while the horizontal displacements are neglected. In the present paper we study both the vertical and the horizontal bottom motion while we propose a novel methodology for reconstructing
The practically important problem of the wave run-up is studied in this article in the framework ... more The practically important problem of the wave run-up is studied in this article in the framework of Nonlinear Shallow Water Equations (NSWE). The main novelty consists in the usage of high order local asymptotic analytical solutions in the vicinity of the shoreline. Namely, we use the analytical techniques introduced by S. Kovalevskaya and the analogy with the compressible gas dynamics (i.e. gas outflow problem into the vacuum). Our run-up algorithm covers all the possible cases of the wave slope on the shoreline and it incorporates the new analytical information in order to determine the shoreline motion to higher accuracy. The application of this algorithm is illustrated on several important practical examples. Finally, the simulation results are compared with the well-known analytical and experimental predictions.
... to classical Nonlinear Shallow Water Equations (NSWE) for which the runup simulation technolo... more ... to classical Nonlinear Shallow Water Equations (NSWE) for which the runup simulation technology is ... 2005) 9. Ghidaglia, JM, Kumbaro, A., Coq, GL: On the numerical solution to ... Dias, F.: Comparison between three-dimensional linear and nonlin-ear tsunami generation models. ...
The main reason for the generation of tsunamis is the deformation of the bottom of the ocean caus... more The main reason for the generation of tsunamis is the deformation of the bottom of the ocean caused by an underwater earthquake. Usually, only the vertical bottom motion is taken into accound while the horizontal co-seismic displacements are neglected in the absence of landslides. In the present study we propose a novel methodology for reconstructing all components of the bottom
The main reason for the generation of tsunamis is the deformation of the bottom of the ocean caus... more The main reason for the generation of tsunamis is the deformation of the bottom of the ocean caused by an underwater earthquake. Usually, only the vertical bottom motion is taken into accound while the horizontal displacements are neglected. In the present paper we study both the vertical and the horizontal bottom motion while we propose a novel methodology for reconstructing
Uploads
Papers by Denys Dutykh