If the Earth’s atmosphere is considered to extend from the surface to 40 km, the

Question

If the Earth’s atmosphere is considered to extend from the surface to 40 km, the earth’s radius is 6,400 km, and the atmosphere is partitioned into cells with an average volume of 0.125 km3, how many floating-point calculations will be required to run one iteration of a global weather simulation, assuming that each cell requires 200 floating-point operations? If it requires 25 cycles (iterations) of simulation to calculate the weather over the next 24 hours, and a forecast is needed in 30 minutes, what must the FLOPS rating of the computing system be?

Explanation / Answer

Hi below i have explained a sample process based on your reference, Hope so you get the logic for your question :)

Suppose each calculation requires 200 floating point operations. In one time step, 1011 floating point operations are necessary.

If we were to forecast the weather over 10 days using 10-minute intervals, a computer operating at 100 Mflops (108 floating point operations/s) would take 107 seconds or over 100 days to perform the calculation.

To perform the calculation in 10 minutes would require a computer operating at 1.7 Tflops (1.7 ¥ 1012 floating point operations/sec).

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