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<front>
<journal-meta>
<journal-id journal-id-type="publisher">NHESS</journal-id>
<journal-title-group>
<journal-title>Natural Hazards and Earth System Sciences</journal-title>
<abbrev-journal-title abbrev-type="publisher">NHESS</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Nat. Hazards Earth Syst. Sci.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1684-9981</issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/nhess-12-1503-2012</article-id>
<title-group>
<article-title>The influence of landslide shape and continental shelf on landslide generated tsunamis along a plane beach</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Renzi</surname>
<given-names>E.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Sammarco</surname>
<given-names>P.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Università degli Studi di Roma Tor Vergata, Dipartimento di Ingegneria Civile, Via del Politecnico 1, 00133 Rome, Italy</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>now at: UCD School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland</addr-line>
</aff>
<pub-date pub-type="epub">
<day>16</day>
<month>05</month>
<year>2012</year>
</pub-date>
<volume>12</volume>
<issue>5</issue>
<fpage>1503</fpage>
<lpage>1520</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2012 E. Renzi</copyright-statement>
<copyright-year>2012</copyright-year>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit <ext-link ext-link-type="uri"  xlink:href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions>
<self-uri xlink:href="https://nhess.copernicus.org/articles/12/1503/2012/nhess-12-1503-2012.html">This article is available from https://nhess.copernicus.org/articles/12/1503/2012/nhess-12-1503-2012.html</self-uri>
<self-uri xlink:href="https://nhess.copernicus.org/articles/12/1503/2012/nhess-12-1503-2012.pdf">The full text article is available as a PDF file from https://nhess.copernicus.org/articles/12/1503/2012/nhess-12-1503-2012.pdf</self-uri>
<abstract>
<p>This work proposes an advancement in analytical modelling of landslide tsunamis propagating along
a plane beach. It is divided into two parts. In the first one, the analytical two-horizontal-dimension model of Sammarco and Renzi (2008)
for tsunamis generated by a Gaussian-shaped  landslide on a plane beach is revised and extended to realistic landslide shapes.
The influence of finiteness and shape of the slide on the propagating waves is investigated and discussed. In the second part,
a new model of landslide tsunamis propagating along a semi-plane beach is devised to analyse the role of the continental
platform in attenuating the wave amplitude along the shoreline. With these parameters taken into account, the fit with available
experimental data is enhanced and the model completed.</p>
</abstract>
<counts><page-count count="18"/></counts>
</article-meta>
</front>
<body/>
<back>
<ref-list>
<title>References</title>
<ref id="ref1">
<label>1</label><mixed-citation publication-type="other" xlink:type="simple">Abramowitz, M. and Stegun, I. : Handbook of mathematical functions, Dover Publications, Mineola, USA, 1972.</mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple">Bellotti G., Cecioni, C. and De Girolamo, P.: Simulation of small-amplitude frequency-dispersive transient waves by means of the mild-slope equation, Coast. Eng., 55, 447–458, 2008.</mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple">Cheng, H.: Advanced Analytic Methods in Applied Mathematics, Science and Engineering, LuBan Press, Boston, USA, 2007.</mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple">Di Risio, M., Bellotti, G., Panizzo, A., and De Girolamo, P.: Three-dimensional experiments on landslide generated waves at a sloping coast, Coast. Eng., 56, 5–6, 659–671, 2009.</mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple">Gonzalez, F. I., Satake, K., Boss, E. F., and Mofjeld, H. O.: Edge Wave and Non-Trapped Modes of the 25 April 1992 Cape Mendocino Tsunami, Pure Appl. Geophys., 144, 409–426, 1995.</mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple">Li, R., Liu, S., Guan, Q., and Peng, Y.: Post-disaster Assessment of Northeastern Coastal Region for the 2011 Sendai Earthquake and Tsunami, ISWREP 2011 – Proceedings of 2011 International Symposium on Water Resource and Environmental Protection, 3, 2429–2432, 2011.</mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple">Liu, P. L.-F., Lynett, P., and Synolakis, C.-E.: Analytical solutions for forced long waves on a sloping beach, J. Fluid Mech., 478, 101–109, 2003.</mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple">Liu, P. L.-F., Wu, T. R., Raichlen, F., Synolakis, C.-E., and Borrero, J. C.: Runup and rundown generated by three-dimensional sliding masses, J. Fluid Mech., 536, 107–144, 2005.</mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple">Longuet-Higgins, M. S.: On the trapping of wave energy round islands, J. Fluid Mech., 29, 781–821, 1967.</mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple">Lynett, P. and Liu, P. L.-F.: A numerical study of the runup generated by three-dimensional landslides, J. Geophys. Res., 110, C03006, &lt;a href=&quot;http://dx.doi.org/10.1029/2004JC002443&quot;&gt;https://doi.org/10.1029/2004JC002443&lt;/a&gt;, 2005.</mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple">Mei, C. C.: Mathematical analysis in engineering, Cambridge University Press, New York, USA, 1997.</mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple">Mei, C. C., Stiassnie, M., and Yue, D.: Theory and application of ocean surface waves, World Scientific, New York, USA, 2005.</mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple">Meyer, R. E.: Resonance of unbounded water bodies, Lect. Appl. Math., AMS, USA, 190–227, 1971.</mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple">Renzi, E.: Landslide Tsunamis, Ph.D. Thesis, Università degli Studi di Roma Tor Vergata, Italy, 2010.</mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple">Sammarco, P. and Renzi, E.: Landslide tsunamis propagating along a plane beach, J. Fluid Mech., 598, 107–119, 2008.</mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple">Sarri, A., Guillas, S. and Dias, F.: Statistical emulation of a tsunami model for sensitivity analysis and uncertainty quantification, accepted, Nat. Hazards Earth Syst. Sci., 2012.  \bibitem[Watts et al.(2003)] Wa03 Watts, P., Grilli, S. T., Kirby, J. T., Fryer, G. J., and Tappin, D. R.: Landslide tsunami case studies using a Boussinesq model and a fully nonlinear tsunami generation model, Nat. Hazards Earth Syst. Sci., 3, 391–402, &lt;a href=&quot;http://dx.doi.org/10.5194/nhess-3-391-2003&quot;&gt;https://doi.org/10.5194/nhess-3-391-2003&lt;/a&gt;, 2003.</mixed-citation>
</ref>
</ref-list>
</back>
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