Regularized shallow water equations for numerical simulation of flows with a moving shoreline
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 4, pp. 665-684
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A numerical algorithm for simulating free-surface flows based on regularized shallow water equations is adapted to flows involving moving dry-bed areas. Well-balanced versions of the algorithm are constructed. Test computations of flows with dry-bed areas in the cases of water runup onto a plane beach and a constant-slope beach are presented. An example of tsunami simulation is given.
@article{ZVMMF_2016_56_4_a11,
author = {O. V. Bulatov and T. G. Elizarova},
title = {Regularized shallow water equations for numerical simulation of flows with a moving shoreline},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {665--684},
publisher = {mathdoc},
volume = {56},
number = {4},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_4_a11/}
}
TY - JOUR AU - O. V. Bulatov AU - T. G. Elizarova TI - Regularized shallow water equations for numerical simulation of flows with a moving shoreline JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2016 SP - 665 EP - 684 VL - 56 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_4_a11/ LA - ru ID - ZVMMF_2016_56_4_a11 ER -
%0 Journal Article %A O. V. Bulatov %A T. G. Elizarova %T Regularized shallow water equations for numerical simulation of flows with a moving shoreline %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2016 %P 665-684 %V 56 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_4_a11/ %G ru %F ZVMMF_2016_56_4_a11
O. V. Bulatov; T. G. Elizarova. Regularized shallow water equations for numerical simulation of flows with a moving shoreline. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 4, pp. 665-684. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_4_a11/