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The mass-balance analysis shows that the long term mass balance error was negligible for all floodplain reaches.
The mass balance error is negligible when there are more than 1.8 time steps on the rising limb of the kernel function.
The computational performance, the order of convergence and the mass balance error have been estimated in several tests and compared with the results of other literature models.
Runtime speedups using the procedure are very significant a factor of 100 2000 (depending on model size and whether or not mass balance error is computed at every time step) for the cases considered.
The approach employs a finite-element basis function and a finite-difference local mass balance, and is designed to reduce computational and storage requirements, while minimizing the mass balance error.
Through a hypothetical example and the applications to Asotin Creek, WA and the Clearwater River, ID, we showed that when the point kernel function values were used in the discrete Hayami convolution (DHC) solution, the mass balance error of channel routing is dependent on the number of time steps on the rising limb of the Hayami kernel function.
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They control mass balance errors and convergence rates.
PBMO examines the model simulation solution time and the flow and transport mass balance errors.
This new approach minimizes mass balance errors and truncation errors associated with most numerical approaches.
The fewer time steps on the rising limb, the greater risk of high mass balance errors.
Second, we discussed the mass balance errors that seem to appear in case of resident injections.
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