Numerical Solution of Flood Prediction And River Regulation Problems
Numerical Solution of Flood Prediction And River Regulation Problems
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11) At A /^x — v+c < in xvhich /\ x Is the half mesh width (in our staggered scheme of net points), v is the velocity, and c is the propagat- ion speed of wavelets given by the formula "A (3. 12) c = /|^ =, ^—, with J the mean depth of the river » It turned out that c varies between the same limits in all thr-ee of our cases, i. E, between ?. 0 ft, /sec, and 30 ft, /sec, corresponding to average depths between 10 ft, and I|. 0 ft, vjhile the maximum value of v is of the order of 5 or 6 ft, /sec, (It is thus to be noted that v;e are operating alvjays v/ith flows with velocities far under the critical vel- ocity). Since A. X in (3. 11) is five miles in our cases, it "It would perhaps be better to take rating curves with the slope H figuring as a parameter. 36 is readily found that /_t should be taken not greater than about 10 mir. Utes. We have taken it to be 9 minutes to be on the safe side. This is of course a very sihort tine step in coraparison v;ith the tine. '^, of the order of weeks, for which the flows have been computed, Kevertheleas, it is not pos- sible (at least not without a radical revision in the whole method of computation) to relax this condition which, it will be remembered, is imporjed by basic mathematical fact:; con- cerning our differential equations.
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To quickly assess the difficulty of the text, read a short excerpt:
11) At A /^x — v+c < in xvhich /\ x Is the half mesh width (in our staggered scheme of net points), v is the velocity, and c is the propagat- ion speed of wavelets given by the formula "A (3. 12) c = /|^ =, ^—, with J the mean depth of the river » It turned out that c varies between the same limits in all thr-ee of our cases, i. E, between ?. 0 ft, /sec, and 30 ft, /sec, corresponding to average depths between 10 ft, and I|. 0 ft, vjhile the maximum value of v is of the order of 5 or 6 ft, /sec, (It is thus to be noted that v;e are operating alvjays v/ith flows with velocities far under the critical vel- ocity). Since A. X in (3. 11) is five miles in our cases, it "It would perhaps be better to take rating curves with the slope H figuring as a parameter. 36 is readily found that /_t should be taken not greater than about 10 mir. Utes. We have taken it to be 9 minutes to be on the safe side. This is of course a very sihort tine step in coraparison v;ith the tine. '^, of the order of weeks, for which the flows have been computed, Kevertheleas, it is not pos- sible (at least not without a radical revision in the whole method of computation) to relax this condition which, it will be remembered, is imporjed by basic mathematical fact:; con- cerning our differential equations.
What to read after Numerical Solution of Flood Prediction And River Regulation Problems?
You can find similar books in the "Read Also" column, or choose other free books by Eugene Isaacson to read online
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