Research output: Contribution to journal › Article › peer-review
Justification of Shallow-Water Theory. / Ostapenko, V. V.
In: Doklady Physics, Vol. 63, No. 1, 01.01.2018, p. 33-37.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Justification of Shallow-Water Theory
AU - Ostapenko, V. V.
PY - 2018/1/1
Y1 - 2018/1/1
N2 - The basic conservation laws of shallow-water theory are derived from multidimensional mass and momentum integral conservation laws describing the plane-parallel flow of an ideal incompressible fluid above the horizontal bottom. This conclusion is based on the concept of hydrostatic approximation, which generalizes the concept of long-wavelength approximation and is used for justifying the applicability of the shallow-water theory in the simulation of wave flows of fluid with hydraulic bores.
AB - The basic conservation laws of shallow-water theory are derived from multidimensional mass and momentum integral conservation laws describing the plane-parallel flow of an ideal incompressible fluid above the horizontal bottom. This conclusion is based on the concept of hydrostatic approximation, which generalizes the concept of long-wavelength approximation and is used for justifying the applicability of the shallow-water theory in the simulation of wave flows of fluid with hydraulic bores.
UR - http://www.scopus.com/inward/record.url?scp=85042772896&partnerID=8YFLogxK
U2 - 10.1134/S1028335818010044
DO - 10.1134/S1028335818010044
M3 - Article
AN - SCOPUS:85042772896
VL - 63
SP - 33
EP - 37
JO - Doklady Physics
JF - Doklady Physics
SN - 1028-3358
IS - 1
ER -
ID: 10452508