TY - JOUR
T1 - The localized Zakharov equation
T2 - Derivation and validation
AU - Gramstad, O.
AU - Agnon, Y.
AU - Stiassnie, M.
N1 - Funding Information:
This research was supported by The Israel Science Foundation (Grants 695/04 and 1194/07 ), the US–Israel Binational Science Foundation (Grant 2004-205 ) and the Research Council of Norway (Grant 177464/V30 ).
PY - 2011/3
Y1 - 2011/3
N2 - In Zakharov's equation, the spectral function represents the entire horizontal plane. In practical applications, one often has to use a finite number of Fourier modes that are determined for limited regions of the horizontal plane, but vary from region to region. To overcome this shortcoming, we utilize a discrete windowed Fourier transform to obtain a new localized Zakharov equation (LZE), which can handle spatial variations in a more transparent way. The LZE is successfully validated by comparing different aspects of its performance with results from the Zakharov equation and a modified nonlinear Schrdinger equation.
AB - In Zakharov's equation, the spectral function represents the entire horizontal plane. In practical applications, one often has to use a finite number of Fourier modes that are determined for limited regions of the horizontal plane, but vary from region to region. To overcome this shortcoming, we utilize a discrete windowed Fourier transform to obtain a new localized Zakharov equation (LZE), which can handle spatial variations in a more transparent way. The LZE is successfully validated by comparing different aspects of its performance with results from the Zakharov equation and a modified nonlinear Schrdinger equation.
KW - Nonlinear interaction
KW - Phase-resolving model
KW - Water-waves
UR - http://www.scopus.com/inward/record.url?scp=79551480408&partnerID=8YFLogxK
U2 - 10.1016/j.euromechflu.2010.10.004
DO - 10.1016/j.euromechflu.2010.10.004
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:79551480408
SN - 0997-7546
VL - 30
SP - 137
EP - 146
JO - European Journal of Mechanics, B/Fluids
JF - European Journal of Mechanics, B/Fluids
IS - 2
ER -