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TABLE I

Table I. Description of the OBCs tested with the numerical experiments. f represents any of the three dependent variables, U, V, or h . The upper (lower) sign in ± and corresponds to the OB at the right (left) side of the model.. Other variables are; C the wave phase speed, Co the shallow water wave speed, Tf a friction time scale, Uo(t), h o (t), and f o(t) prescribed boundary values, Cd the bottom friction coefficient, Cdi the bottom friction coefficient in the interior domain , e a constant, x the zonal coordinate, xB the position of the open boundary, and a the relaxation parameter.

OPEN BOUNDARY CONDITIONS

Analytic Form

References
Radiation Conditions
GWI (Gravity Wave Implicit) Chapman (1985)
BKI (Blumberg & Khanta Implicit) Blumberg & Khanta (1985)
FLA (Flather radiation) Flather (1976)
FRO (Flather radiation + Roed local solution This paper

ORE (Orlanski Radiation Explicit)

ORI (Orlanski Radiation Implicit)

SOE (Somerfeld Explicit)

SRE (Somerfeld Radiation Explicit - 2nd order)

MOI (Modified Orlanski Implicit)

;

 

Orlanski (1976) ; Chapman, (1985)

Chapman (1985)

Miller & Thorpe (1981)

Tang & Grimshaw (1996)

Camerlengo & O’Brien (1980); Chapman (1985)

Characteristic Methods
HOC (Hedstrom O’Brien Characteristic) Roed & Cooper (1987)
Relaxation Methods
SPO (Sponge layer + ORI) In sponge layer Israeli & Orszag (1981); Chapman (1985)
MAR (Martisen flow relaxation scheme) Martinsen & Enghedal (1987)
MRO (Martisen + Roed local solution) Martinsen & Enghedal (1987)


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