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A mode-splitting method is applied to the quasi-3D nearshore circulation equations in generalized curvilinear coordinates. The gravity wave mode and the vorticity wave mode of the equations are derived using the two-step projection method. Using an implicit algorithm for the gravity mode and an explicit algorithm for the vorticity mode, we combine the two modes to derive a mixed difference–differential...
A curvilinear version of the nearshore circulation model SHORECIRC is developed based on the quasi-3D nearshore circulation equations derived by Putrevu and Svendsen [Eur. J. Mech. 18 (1999) 409-427]. We use a generalized coordinate transformation and re-derive the equations in tensor-invariant forms. The contravariant component technique is used to simplify both the transformed equations and boundary...
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