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Some features of the landslide mechanism of the surface waves generation in real basins

Some features of the landslide mechanism of the surface waves generation in real basins. Beisel S. , Chubarov L. , Khudyakova V., Shokin Yu. Institute of computational technologies SB RAS Novosibirsk, Russia. Previous studies: very simple bathymetry: linear slope + flat bottom,

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Some features of the landslide mechanism of the surface waves generation in real basins

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  1. Some features of the landslide mechanism of the surface waves generation in real basins Beisel S., Chubarov L., Khudyakova V., Shokin Yu. Institute of computational technologies SB RAS Novosibirsk, Russia

  2. Previous studies: • very simple bathymetry: linear slope + flat bottom, • Watts’s law of motion. • Questions: • Nonlinearity, dispersion – when and where? • Which NLD model is better? • Methodology: • Numerical modelling(SWE, Full model for potential flow) • Laboratory experiments • ShokinYu.I., Fedotova Z.I., Khakimzyanov G.S., Chubarov L.B., Beisel S.A. Modelling surfaces waves generated by a moving landslide with allowance for vertical flow structure// Rus. J. Numer. Anal. Math. Modelling. – 2007. – Vol. 22. – №1. – pp. 63–85. Novosibirsk, Tsunami-2009

  3. Now: • From model bathymetry to «real» one • The «reality» during the wave propagation • The «reality» in the law of landslide motion • From 1D simulation to 2D simulation • 2D effects in the law of landslide motion • 2D effects during the wave propagation Novosibirsk, Tsunami-2009

  4. Area of interest:Mediterranean Sea, Israeli coast Novosibirsk, Tsunami-2009

  5. –bottom –landslide Novosibirsk, Tsunami-2009

  6. – gravitational force, – added mass force, – fluid dynamic drag force, – buoyancy force, – landslide density, – added mass coefficient, – water density, – drag coefficient – specific density, Laws of motion Slide: Watts, 1998: New, 2009: V – volume, W – width, T – thickness, L – length, Novosibirsk, Tsunami-2009

  7. Different laws 1. Watts’ law for linear slope 2.1 Approximation of Watts’ law for linear slope: + 2.2 Approximation of Watts’ law for real slopeconstant  in motion law: 3. Approximation of Watts’ law for real slope “real”  in motion law: + 4.New law for real slope Novosibirsk, Tsunami-2009

  8. Different laws. Free surfaces Novosibirsk, Tsunami-2009

  9. Different laws. Mareograms Novosibirsk, Tsunami-2009

  10. –friction angle –bottom curvature New law with friction – dynamic friction force Novosibirsk, Tsunami-2009

  11. Different friction angles Real slope: Linear slope: Novosibirsk, Tsunami-2009

  12. Different friction angles. Mareograms Real slope: Linear slope: Novosibirsk, Tsunami-2009

  13. Different submergences Real slope: Linear slope: Novosibirsk, Tsunami-2009

  14. Different submergences. Mareograms Linear slope: Real slope: Novosibirsk, Tsunami-2009

  15. 3D reliefs Novosibirsk, Tsunami-2009

  16. Free surfaces t = 300 sec t = 40 sec t = 120 sec t = 1000 sec t = 500 sec t = 860 sec Novosibirsk, Tsunami-2009 t_stop = 850sec

  17. t = 40 sec t = 120 sec t = 300 sec t = 500 sec t = 860 sec t = 1000 sec Free surfaces: 1D vs 2D - 2D - 1D Novosibirsk, Tsunami-2009

  18. Thank you! Novosibirsk, Tsunami-2009

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