On the Theory of Large Scale Nearly Horizontal Motions in the Atmosphere
On the Theory of Large Scale Nearly Horizontal Motions in the Atmosphere
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„(i), |... A)|_j(^. K2„ (lid) - (U - K.^U)\1/ = 0, yy ^ '^x From the viewpoint of studying the validity of the geostrophic conservation equation in describing atmospheric motions, we discuss three possible approaches: 1) numerical method, 2) linearization, and 3) atmospheric point vortices.
1) Numerical Methodc^'^ A problem of primary interest to meteorologists is that of vjeather prediction. For example from weather data at a given time over a region, say the United States, we wish to predict ...its motion there for some later time. If i-re desire a prediction over the entire region '■'-. I >n: •• ■ ''"^ . :>■ f'lY ;, i? i. Ji 22.
we must also give some data continuously (t > 0) at the bound- aries of the region. Thus, we consider initial and initial- boundary value type problems for the equations (lla, b, c) by finite differences. The conservation form of equation (11a) suggests what are reasonable conditions (data) and a compu- tational procedure. For the initial value problem in the entire x-y plane we prescribe ^{x, j, 0) (or h^ (x, y, 0))o Then for T = 0, \-ie can calculate at each grid point the velocity (u^ f^ ), giving us the initial slope of the particle path in (Xjy^T) space, and {/\ - k )^, which is conserved along the particle path according to equation (11a) e We can now calculate the distribution P(x, y), say, of {/\ - K )\]/ at grid points after a time step /\^ %, limited by /^t v^^) is given by the initial distribution of (u^-'-^, v^-'-M.
What to read after On the Theory of Large Scale Nearly Horizontal Motions in the Atmosphere?
You can find similar books in the "Read Also" column, or choose other free books by G K Morikawa to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
„(i), |... A)|_j(^. K2„ (lid) - (U - K.^U)\1/ = 0, yy ^ '^x From the viewpoint of studying the validity of the geostrophic conservation equation in describing atmospheric motions, we discuss three possible approaches: 1) numerical method, 2) linearization, and 3) atmospheric point vortices.
1) Numerical Methodc^'^ A problem of primary interest to meteorologists is that of vjeather prediction. For example from weather data at a given time over a region, say the United States, we wish to predict ...its motion there for some later time. If i-re desire a prediction over the entire region '■'-. I >n: •• ■ ''"^ . :>■ f'lY ;, i? i. Ji 22.
we must also give some data continuously (t > 0) at the bound- aries of the region. Thus, we consider initial and initial- boundary value type problems for the equations (lla, b, c) by finite differences. The conservation form of equation (11a) suggests what are reasonable conditions (data) and a compu- tational procedure. For the initial value problem in the entire x-y plane we prescribe ^{x, j, 0) (or h^ (x, y, 0))o Then for T = 0, \-ie can calculate at each grid point the velocity (u^ f^ ), giving us the initial slope of the particle path in (Xjy^T) space, and {/\ - k )^, which is conserved along the particle path according to equation (11a) e We can now calculate the distribution P(x, y), say, of {/\ - K )\]/ at grid points after a time step /\^ %, limited by /^t v^^) is given by the initial distribution of (u^-'-^, v^-'-M.
What to read after On the Theory of Large Scale Nearly Horizontal Motions in the Atmosphere?
You can find similar books in the "Read Also" column, or choose other free books by G K Morikawa to read onlineMoreLess
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