TY - JOUR
T1 - Boussinesq-type equations with improved nonlinear performance
AU - Kennedy, Andrew B.
AU - Kirby, James T.
AU - Chen, Qin
AU - Dalrymple, Robert A.
N1 - Funding Information:
This study has been supported by the Office of Naval Research, Base Enhancement Program, through research Grant N00014-97-1-0283.
PY - 2001/3
Y1 - 2001/3
N2 - In this paper, we derive and test a set of extended Boussinesq equations with improved nonlinear performance. To do this, the concept of a reference elevation is further generalised to include a time-varying component that moves with the instantaneous free surface. It is found that, when compared to Stokes-type expansions of the second harmonic and fully nonlinear potential flow computations, both theoretical and practical nonlinear performance can be considerably improved. Finally, a special case of the extended equations is found to have properties which are invariant with respect to the still water datum.
AB - In this paper, we derive and test a set of extended Boussinesq equations with improved nonlinear performance. To do this, the concept of a reference elevation is further generalised to include a time-varying component that moves with the instantaneous free surface. It is found that, when compared to Stokes-type expansions of the second harmonic and fully nonlinear potential flow computations, both theoretical and practical nonlinear performance can be considerably improved. Finally, a special case of the extended equations is found to have properties which are invariant with respect to the still water datum.
KW - Boussinesq equations
KW - Numerical methods
KW - Stokes-type expansions
KW - Water waves
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U2 - 10.1016/S0165-2125(00)00071-8
DO - 10.1016/S0165-2125(00)00071-8
M3 - Article
AN - SCOPUS:0034817891
SN - 0165-2125
VL - 33
SP - 225
EP - 243
JO - Wave Motion
JF - Wave Motion
IS - 3
ER -