ON THE GENERATION OF PRESSURE-JUMP LINES BY THE IMPULSIVE ADDITION OF MOMENTUM TO SIMPLE CURRENT SYSTEMS

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Abstract
The problem of the impulsive addition of momentum to a simple current system, discussed previously by Rossby and Cahn, is reexamined and the basic equations are solved by a numerical-graphical technique. The equations representing the transient phase are considered first from a linear and then from a non-linear point of view and the differences indicated. The conclusion is reached that the non-linear solution can yield a gravity wave which steepens with time and which propagates normal to the orientation of the initial current. A possible application of the theory to the atmosphere is suggested, in the production of eastward moving pressure-jump lines by southerly currents. Abstract The problem of the impulsive addition of momentum to a simple current system, discussed previously by Rossby and Cahn, is reexamined and the basic equations are solved by a numerical-graphical technique. The equations representing the transient phase are considered first from a linear and then from a non-linear point of view and the differences indicated. The conclusion is reached that the non-linear solution can yield a gravity wave which steepens with time and which propagates normal to the orientation of the initial current. A possible application of the theory to the atmosphere is suggested, in the production of eastward moving pressure-jump lines by southerly currents.

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