Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 519-888-4567, ext. 32700
Fax: 519-746-4319
PDF files require Adobe Acrobat Reader
MC 5417
Derek Steinmoeller| Post-doctoral Fellow, Aquanty, Inc.
Real-Time Hydrologic Forecasting with Dynamically Coupled Ground/Surface Water Models
Part I:
In this presentation, I will present the underlying mathematical formulations and physical assumptions that form the core of the HydroGeoSphere (HGS) surface/subsurface hydrologic model.Following these details, an overview of Aquanty's new hydrologic forecasting platform called HGSRT (HydroGeoSphere Real-Time) will be presented. Topics being covered include:field data assimilation, ensemble physical model runs, and the dissemination of forecasts.Given the wide spread need for better hydroclimatological decision support systems to help manage climate change and extreme weather, Aquanty has chosen to disseminate our forecasts in a could-based web application. A high-level overview of the web application's features will be presented, along with results from a live demo of the actual HGSRT application.The platform is demonstrated as an effective means to swiftly communicate real-time hydrologic monitoring and forecast data, such as soil moisture, stream flow, and groundwater levels generated from a fully-integratedgroundwater-surface water simulator to a diverse stakeholder audience.
Part II:
Recent Advances in the Discontinuous Galerkin Simulation of Nearly-Inviscid Incompressible flow
Though the wide-spread usefulness of the Discontinuous Galerkin (DG) method for purely hyperbolic problems has been well-known for some time, the long-term stability properties of the DG method for the incompressible Euler/Navier-Stokes equations have not been well understood and test-cases in the literature often focused on heavily-damped viscous simulations. This lack of understanding is owed primarily to the inherently discontinuous nature of the spatial discretization at inter-element interfaces and their impact on the enforcement of the global incompressibility constraint. In this talk, I will review contributions to the DG method for incompressible flow made over the past 5 years. Focus is placed on the more recent work of Fehn, Wall, and Kronbichler (hereafter, FWK2018) who showed that naive DG implementations can lead to entropy destruction due to two distinct numerical short-comings of the DG scheme: (1) the lack of enforcement of the incompressibility constraint to numerical precision, and (2) sufficiently large jumps at inter-element interfaces. Following this literature review, promising sample results will be presented from the new stabilization scheme presented in FWK2018 for the sophisticated case of stratified viscous flow around a rectangular cylinder. The new scheme is termed an 'implicit LES,' since it selectively dampens numerical artifacts that may destabilize the DG scheme for the reasons outlined above.
Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 519-888-4567, ext. 32700
Fax: 519-746-4319
PDF files require Adobe Acrobat Reader
The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is co-ordinated within the Office of Indigenous Relations.