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- Author or Editor: A. A. Young x
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Abstract
The U.S.N.S. Vanguard provided a set of high quality upper-air wind data during GATE which should he uniquely valuable to researchers. The figures in this note are intended to illustrate the excellent vertical resolution and apparent accuracy of these observations, which were obtained by a high precision tracking radar. The examples have been chosen from Phase I when the ship was positioned at the center of the B army (8.5°N, 23.5°W). The natural evolution of some jet and “wave” features is portrayed in detail as a function of height over periods of a few hours and a few days, respectively. In addition to possible stratosphere “waves” identified in previous studies, the data show that features with 1 km vertical wavelengths are present which may be associated with planetary inertia-gravity waves.
Abstract
The U.S.N.S. Vanguard provided a set of high quality upper-air wind data during GATE which should he uniquely valuable to researchers. The figures in this note are intended to illustrate the excellent vertical resolution and apparent accuracy of these observations, which were obtained by a high precision tracking radar. The examples have been chosen from Phase I when the ship was positioned at the center of the B army (8.5°N, 23.5°W). The natural evolution of some jet and “wave” features is portrayed in detail as a function of height over periods of a few hours and a few days, respectively. In addition to possible stratosphere “waves” identified in previous studies, the data show that features with 1 km vertical wavelengths are present which may be associated with planetary inertia-gravity waves.
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The properties of 13 computational methods for the integration of first-order differential equations in time are studied. Special attention is given to the representation of periodic fluctuations in a simple spectral baroclinic model of the atmosphere. Errors in the energy, three dimensional scale, and frequency for linear and nonlinear oscillations are evaluated.
Comparisons of both one-step and two-step methods are made. It is found that the two-step schemes compare favorably with one-step methods only when given the advantage of a smaller time increment. Even then, it is concluded that certain one-step procedures incorporating two or more extrapolations over each constant increment of time produce errors which grow most slowly. With small time increments, these errors are generally made smallest by increasing the number of time extrapolations at each step rather than by decreasing the time increment.
Abstract
The properties of 13 computational methods for the integration of first-order differential equations in time are studied. Special attention is given to the representation of periodic fluctuations in a simple spectral baroclinic model of the atmosphere. Errors in the energy, three dimensional scale, and frequency for linear and nonlinear oscillations are evaluated.
Comparisons of both one-step and two-step methods are made. It is found that the two-step schemes compare favorably with one-step methods only when given the advantage of a smaller time increment. Even then, it is concluded that certain one-step procedures incorporating two or more extrapolations over each constant increment of time produce errors which grow most slowly. With small time increments, these errors are generally made smallest by increasing the number of time extrapolations at each step rather than by decreasing the time increment.
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