Numerical Modeling of Water Waves

Mader, Charles L.

doi:10.1201/9780203492192

Cited by 95 publications

(60 citation statements)

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“…The high-velocity impact can generate a large air cavity [PararasCarayannis, 1999]. As a result, to numerically investigate the near-field wave characteristics of these subaerial landslides, the full Navier-Stokes equations should be used [Mader and Gittings, 2002;Mader, 2004]. Since the impact process involves the interaction of three phases (slide material, air, and water), the numerical method must be capable of tracking the large deformation of these material interfaces.…”

Section: Introductionmentioning

confidence: 99%

Lagrangian hydrocode simulations of the 1958 Lituya Bay tsunamigenic rockslide

Schwaiger

Higman

2007

Geochem Geophys Geosyst

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[1] The interaction of debris flows, whether subaqueous or subaerial, with bodies of water can produce tsunamis with a locally devastating impact. When debris flows begin above the water surface, the impact can produce a large air cavity, corresponding to a large effective volume of water displaced and complicating efforts to model the resulting tsunami. Because grid-based, Eulerian numerical methods have an inherent difficulty tracking material boundaries, we have implemented a particle-based, Lagrangian model (Smoothed Particle Hydrodynamics). We treat the debris flow as an incompressible, viscous fluid and the body of water as inviscid. We use this model to simulate the 1958 Lituya Bay rockslide and resulting tsunami. Our simulation results compare favorably with field observations as well as a scaled laboratory experiment and numerical studies.

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Section: Introductionmentioning

confidence: 99%

Lagrangian hydrocode simulations of the 1958 Lituya Bay tsunamigenic rockslide

Schwaiger

Higman

2007

Geochem Geophys Geosyst

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“…The tsunami is modeled as a long wave governed by the equations of the shallow water approximation (Mader 1998(Mader , 2004. The boundary conditions ensure pure wave reflection on the solid boundary (coastlines) and full wave transmission on the open boundary (open sea).…”

Section: Nonlinear Shallow Water Modelmentioning

confidence: 99%

“…To do so, the strike and size of each candidate source was deduced from the morphostructural map, dip and rake were fixed with reasonable guesses according to each tectonic style, and an average slip of 2 m was considered for all cases. Wave propagation and run-up was computed using Mader (1998Mader ( , 2004) SWAN model. Table 2.…”

Section: Introductionmentioning

confidence: 99%

The source of the 1722 Algarve earthquake: evidence from MCS and Tsunami data

et al. 2007

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The 27 December 1722 Algarve earthquake destroyed a large area in southern Portugal generating a local tsunami that inundated the shallow areas of Tavira. It is unclear whether its source was located onshore or offshore and, in any case, what was the tectonic source responsible for the event. We analyze available historical information concerning macroseismicity and the tsunami to discuss the most probable location of the source. We also review available seismotectonic knowledge of the offshore region close to the probable epicenter, selecting a set of four candidate sources. We simulate tsunamis produced by these candidate sources assuming that the sea bottom displacement is caused by a compressive dislocation over a rectangular fault, as given by the half-space homogeneous elastic approach, and we use numerical modeling to study wave propagation and run-up. We conclude that the 27 December 1722 Tavira earthquake and tsunami was probably generated offshore, close to 37°01′N, 7°49′W.

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“…The system is aimed at estimating the wave arrival times and maximum heights provoked by the earthquakes. A numerical simulation model called SWAN (Mader, 1988) was adapted to the system in order to perform all the grid scenarios calculations. It is initialized and run when a new earthquake is detected.…”

Section: Tsunami Early Warning System Scenario Database and Alerts Imentioning

confidence: 99%

Web-based Tsunami Early Warning System: a case study of the 2010 Kepulaunan Mentawai Earthquake and Tsunami

Ulutaş

Inan

Annunziato³

2012

Nat. Hazards Earth Syst. Sci.

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<p><strong>Abstract.</strong> This study analyzes the response of the Global Disasters Alerts and Coordination System (GDACS) in relation to a case study: the Kepulaunan Mentawai earthquake and related tsunami, which occurred on 25 October 2010. The GDACS, developed by the European Commission Joint Research Center, combines existing web-based disaster information management systems with the aim to alert the international community in case of major disasters. The tsunami simulation system is an integral part of the GDACS. In more detail, the study aims to assess the tsunami hazard on the Mentawai and Sumatra coasts: the tsunami heights and arrival times have been estimated employing three propagation models based on the long wave theory. The analysis was performed in three stages: (1) pre-calculated simulations by using the tsunami scenario database for that region, used by the GDACS system to estimate the alert level; (2) near-real-time simulated tsunami forecasts, automatically performed by the GDACS system whenever a new earthquake is detected by the seismological data providers; and (3) post-event tsunami calculations using GCMT (Global Centroid Moment Tensor) fault mechanism solutions proposed by US Geological Survey (USGS) for this event. The GDACS system estimates the alert level based on the first type of calculations and on that basis sends alert messages to its users; the second type of calculations is available within 30–40 min after the notification of the event but does not change the estimated alert level. The third type of calculations is performed to improve the initial estimations and to have a better understanding of the extent of the possible damage. The automatic alert level for the earthquake was given between Green and Orange Alert, which, in the logic of GDACS, means no need or moderate need of international humanitarian assistance; however, the earthquake generated 3 to 9 m tsunami run-up along southwestern coasts of the Pagai Islands where 431 people died. The post-event calculations indicated medium-high humanitarian impacts.</p>

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Numerical Modeling of Water Waves

Cited by 95 publications

References 0 publications

Lagrangian hydrocode simulations of the 1958 Lituya Bay tsunamigenic rockslide

Lagrangian hydrocode simulations of the 1958 Lituya Bay tsunamigenic rockslide

The source of the 1722 Algarve earthquake: evidence from MCS and Tsunami data

Web-based Tsunami Early Warning System: a case study of the 2010 Kepulaunan Mentawai Earthquake and Tsunami

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