Research Article
Using the Nonuniform Dynamic Mode Decomposition to Reduce the Storage Required for PDE Simulations
Table 1
Algorithm
1 results (40 × 40 grid,
, ).(a) |
| | Elapsed time (sec) | Grid size n-by-n | | # of snapshots | # of spatial modes (Nmd) |
| | 131.73 | 40 × 40 | 0.0513 | 21 | 12 |
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|
(b) |
| | Errors | Average percent error | F-norm percent error | Inf-norm percent error | 2-norm percent error |
| | | 1.4179% | 1.0874% | 1.7779% | 1.3884% |
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|
(c) |
| | Reduced memory to % of original | KB to store and | KB to store original model | KB to store spatial Modes () | KB to store temporal coefficients () |
| | 57.8930% | 151.969 | 262.5 | 150.0 | 1.969 |
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