“…Other works on the combination of SWE and ROMs are focused on reducing the computational complexity by using DEIM with implicit numerical schemes [43], parametric sensitivity analysis [52,53] or meshless radial basis functions technique [47]. It is also worth mentioning interesting recent works investigating the combination of neural networks with POD methods applied to Navier-Stokes equations [54,55] or even deep-learning techniques [56] and Physics-informed neural networks [57]. However, in this work the time averaging approach in combination with the proper interval decomposition (PID, see [58]), which has been reported as a useful tool [28,33], is used.…”
“…Other works on the combination of SWE and ROMs are focused on reducing the computational complexity by using DEIM with implicit numerical schemes [43], parametric sensitivity analysis [52,53] or meshless radial basis functions technique [47]. It is also worth mentioning interesting recent works investigating the combination of neural networks with POD methods applied to Navier-Stokes equations [54,55] or even deep-learning techniques [56] and Physics-informed neural networks [57]. However, in this work the time averaging approach in combination with the proper interval decomposition (PID, see [58]), which has been reported as a useful tool [28,33], is used.…”
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