Accelerating hydrodynamic simulations of urban drainage systems with physics-guided machine learning
arXiv:2206.01538 · doi:10.1016/j.watres.2022.118972
Abstract
We propose and demonstrate a new approach for fast and accurate surrogate modelling of urban drainage system hydraulics based on physics-guided machine learning. The surrogates are trained against a limited set of simulation results from a hydrodynamic (HiFi) model. Our approach reduces simulation times by one to two orders of magnitude compared to a HiFi model. It is thus slower than e.g. conceptual hydrological models, but it enables simulations of water levels, flows and surcharges in all nodes and links of a drainage network and thus largely preserves the level of detail provided by HiFi models. Comparing time series simulated by the surrogate and the HiFi model, R2 values in the order of 0.9 are achieved. Surrogate training times are currently in the order of one hour. However, they can likely be reduced through the application of transfer learning and graph neural networks. Our surrogate approach will be useful for interactive workshops in initial design phases of urban drainage systems, as well as for real time applications. In addition, our model formulation is generic and future research should investigate its application for simulating other water systems.
References in corpus (11)
- TensorFlow: A system for large-scale machine learning
- DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators
- Artificial Neural Networks for Solving Ordinary and Partial Differential Equations
- NSFnets (Navier-Stokes Flow nets): Physics-informed neural networks for the incompressible Navier-Stokes equations
- Enforcing Analytic Constraints in Neural-Networks Emulating Physical Systems
- Modeling the Dynamics of PDE Systems with Physics-Constrained Deep Auto-Regressive Networks
- Data Driven Governing Equations Approximation Using Deep Neural Networks
- PhyCRNet: Physics-informed Convolutional-Recurrent Network for Solving Spatiotemporal PDEs
- How Does Learning Rate Decay Help Modern Neural Networks?
- On generalized residue network for deep learning of unknown dynamical systems
- Teaching the Incompressible Navier-Stokes Equations to Fast Neural Surrogate Models in 3D