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- W2080343168 abstract "Workers on the water-level problem have been hampered by the lack of a method of computing two-dimensional time-dependent flow of water. The equations of two-dimensional time-dependent flow of an incompressible fluid with a free surface are reformulated in this paper. This formulation, made up of linear combinations of the equations of motion and continuity, results in relations similar to the following Figure 1Open in figure viewerPowerPoint where D1/dt = ∂/∂t + (u + c)∂/∂x + (v + c)∂/∂y and A1 = u + v+ c. Similar relationships for non-homogeneous equations are described. It is demonstrated that D1A1/dt + D2A2/dt = 0 means that the value of A1 from one point plus the value of A2 at another point at time t is the same as A1 + A2 a t still another point at time t + dt. A computing method, based on motion, addition, and subtraction of isopleths of quantities similar to A1, is described. A name, ‘the method of wave derivatives,’ is suggested for this method, and it is applied to the motion of a mound of water in a flat-bottom sea." @default.
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- W2080343168 date "1957-01-01" @default.
- W2080343168 modified "2023-09-26" @default.
- W2080343168 title "The method of wave derivatives" @default.
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- W2080343168 doi "https://doi.org/10.1029/tr038i004p00483" @default.
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