Table 3 Summary of normalized wall time magnitude and relative error of ROM.
From: Enhancing high-fidelity nonlinear solver with reduced order model
Example | 1 | 2.1 | 2.2 | 2.3 | 3 | 4 | remark | |
|---|---|---|---|---|---|---|---|---|
Normalized wall time | FOM | \(O(10^{0})\) | \(O(10^{0})\) | \(O(10^{0})\) | \(O(10^{0})\) | \(O(10^{0})\) | \(O(10^{0})\) | Default initialization |
FOM with ROM assists | \(O(10^{-1})\) + \(O(10^{-4})\) | \(O(10^{-1})\) + \(O(10^{-5})\) | \(O(10^{-1})\) + \(O(10^{-5})\) | \(O(10^{-1})\) + \(O(10^{-6})\) | \(O(10^{-1})\) + \(O(10^{-5})\) | \(O(10^{-1})\) + \(O(10^{-5})\) | \(\approx O(10^{-1})\) | |
ROM | \(O(10^{-4})\) | \(O(10^{-5})\) | \(O(10^{-5})\) | \(O(10^{-6})\) | \(O(10^{-5})\) | \(O(10^{-5})\) | cGAN-ROM for Ex. 1 BBT-ROM for Ex. 2, 3 | |
Average relative error of ROM compared to FOM | 0.13% | 10.35% | 6.17 % | 17.17% | 0.17%, 0.79% | 2.33% | ||
