In the simulation of ocean tidal waves, Eulerian schemes are widely used, for example, Backhaus  and Casulli  used semi-implicit scheme (hereafter SI) for the solution of shallow water equations; Lv and Zhang  used the semi-implicit scheme to solve tide wave equations and their computational format was used to study bottom friction coefficients  and tidal open boundary conditions ; the finite volume method is also frequently used [7, 8].
This paper is designated to apply the CIP-MOC  to the solution of tide wave equations which are based on shallow water equations and include source terms of bottom topography and friction.
With this in mind we briefly examine the birth of waves in water and the characteristic oscillatory behaviour required to produce ordinary tide waves
(or "tidal waves", not to be confused with the improper popular synonym for tsunami).
Meanwhile, the thalweg (the median line of the channel) of the estuary is rising at some distance beneath points K, L, M, N, and O (which indicate the water level in the river before the tide wave
arrives), thus increasingly limiting the inflow of tidal water.
With the panorama of our industrial heritage, new sea defences and modern innovation spread around, the cliffs of Huntcliff, Boulby and Whitby visible along the coast and the mountainous spring tide waves
pounding the new sea wall, it was spectacular.
The accident happened at 3.20pm on the busy esplanade, which had been buffeted by high tide waves
following several days of strong winds.
As the severe cyclonic storm JAL is set to cross the coast on Sunday evening, the sea became rough with high tide waves
hitting the coast, destroying fishing nets and boats, besides marooning fishing hamlets in this coastal district last evening.
The existing cinder block housing for the pump set placed size constraints on the total package, and the high tide waves
splashing on the building presented a constant concern over salt corrosion."