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Nonzero structure of typical row of RHS is:
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| 2 |
with 5 nonzeros about diagonal and two bands -- each with two nonzeros -- each side of diagonal
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| 3 |
Each corresponds to a 5 by 5 (number of CFD labels) block matrix which is approximately "full"
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| 4 |
So each of 5 NNAS3 rows of RHS has 65 nonzero elements
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| 5 |
This can be contrasted with simple differencing to solve three dimensional Laplace equation Ñ2Y=0 where nonzero structure of typical row is:
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| 6 |
with 7 nonzeros in each row of row of underlying matrix
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Extra complexity of CFD makes parallel algorithms have better performance as calculation/communication ratio increased
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