Institute of computational technologies SB RAS Novosibirsk, Russia Beisel S., Chubarov L., Khudyakova V., Shokin Yu.

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Presentation transcript:

Institute of computational technologies SB RAS Novosibirsk, Russia Beisel S., Chubarov L., Khudyakova V., Shokin Yu.

Novosibirsk, Tsunami-2009 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 Shokin Yu.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. – – Vol. 22. – №1. – pp. 63–85.

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

Novosibirsk, Tsunami-2009 – bottom – landslide

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

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

Novosibirsk, Tsunami-2009 Different laws. Free surfaces

Novosibirsk, Tsunami-2009 Different laws. Mareograms

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

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

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

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

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

Novosibirsk, Tsunami D reliefs

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

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

Novosibirsk, Tsunami-2009 Thank you!