Parametrized Model Order Reduction for Engineered Coastal and Hydraulic Systems: Component Libraries and Digital Twins

Abstract

We plan to develop a port-reduced reduced-basis component (PR-RBC) approach for the partial differential equations (PDEs) which govern flow in riverine and coastal environments, with particular emphasis on the Navier-Stokes equations. The methods can be applied in two contexts: the analysis of anew hydraulic system synthesized from a library of generic parametrized components; the analysis of a monitored hydraulic system represented as a digital twin. In both cases the quantities of interest are flowrates and hydrodynamic forces. We shall also consider a passive scalar, such as temperature or contaminant. Methods to be Employed. The PR-RBC method incorporates several principal ingredients: component-to-system model construction, underlying ``truth'' finite element PDE discretization, (Petrov)-Galerkin projection, parametrized model-order reduction for both the inter-component (port) and intra-component (bubble) degrees of freedom, POD and Greedy training methods for both the port and bubble reduced spaces, offline-online computational decompositions, and parallel implementations. In this work the PR-RBC formulation is expanded to treat nonlinear elliptic partial differential equations; future work will consider hybrid finite element + PR-RBC approaches for problems characterized by advancing fronts or (local) complex coupled phenomena such as Fluid-Structure Interaction.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 2022
Accession Number
AD1199367

Entities

People

  • Anthony T. Patera

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Convection
  • Differential Equations
  • Dimensionality Reduction
  • Engineering
  • Equations
  • Fluid Dynamics
  • Fluid Flow
  • Geometry
  • Mathematical Analysis
  • Navier Stokes Equations
  • Numerical Analysis
  • Partial Differential Equations
  • Reynolds Number
  • Two Dimensional
  • Viscous Flow

Readers

  • Computational Fluid Dynamics (CFD)
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Software Engineering.

Technology Areas

  • Space