TY - JOUR

T1 - A combined computational algorithm for solving the problem of long surface waves runup on the shore

AU - Shokin, Yurii I.

AU - Rychkov, Alexander D.

AU - Khakimzyanov, Gayaz S.

AU - Chubarov, Leonid B.

PY - 2016/8/1

Y1 - 2016/8/1

N2 - In the present paper we study features and abilities of the combined TVD+SPH method relative to problems of numerical simulation of long waves runup on a shore within the shallow water theory. The results obtained by this method are compared to analytic solutions and to the data of laboratory experiments. Examples of successful application of the TVD+SPH method are presented for the case of study of runup processes for weakly nonlinear and strongly nonlinear waves, and also for N-waves.

AB - In the present paper we study features and abilities of the combined TVD+SPH method relative to problems of numerical simulation of long waves runup on a shore within the shallow water theory. The results obtained by this method are compared to analytic solutions and to the data of laboratory experiments. Examples of successful application of the TVD+SPH method are presented for the case of study of runup processes for weakly nonlinear and strongly nonlinear waves, and also for N-waves.

KW - N-waves

KW - numerical modelling

KW - runup on the coast

KW - shallow water

KW - Surface waves

UR - http://www.scopus.com/inward/record.url?scp=84983516279&partnerID=8YFLogxK

U2 - 10.1515/rnam-2016-0022

DO - 10.1515/rnam-2016-0022

M3 - Article

AN - SCOPUS:84983516279

VL - 31

SP - 217

EP - 227

JO - Russian Journal of Numerical Analysis and Mathematical Modelling

JF - Russian Journal of Numerical Analysis and Mathematical Modelling

SN - 0927-6467

IS - 4

ER -