Intrusive and Non-Intrusive Model Order Reduction for Airborne Contaminant Transport: Comparative Analysis and Uncertainty Quantification

📅 2026-02-25
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🤖 AI Summary
This study addresses the high computational cost of high-fidelity simulations for urban pollutant dispersion under complex geometries and multiparametric conditions, which hinders real-time emergency response. For the first time, it systematically compares intrusive and non-intrusive model order reduction (MOR) methods for parameterized incompressible Navier–Stokes and convection–diffusion coupled problems, and develops a non-intrusive reduced-order model that accounts for variations in both wind speed and direction. Built on a two-dimensional domain derived from real building footprints, the model enables rapid spatiotemporal predictions, Monte Carlo-based uncertainty quantification, and interactive visualization. Experimental results demonstrate that the approach achieves faster-than-real-time prediction of pollutant dispersion, substantially enhancing decision-making efficiency and reliability in emergency scenarios.

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📝 Abstract
Numerical simulations of contaminant dispersion, as after a gas leakage incident on a chemical plant, can provide valuable insights for both emergency response and preparedness. Simulation approaches combine incompressible Navier-Stokes (INS) equations with advection-diffusion (AD) processes to model wind and concentration field. However, the computational cost of such high-fidelity simulations increases rapidly for complex geometries like urban environments, making them unfeasible in time-critical or multi-query "what-if" scenarios. Therefore, this study focuses on the application of model order reduction (MOR) techniques enabling fast yet accurate predictions. To this end, a thorough comparison of intrusive and non-intrusive MOR methods is performed for the computationally more demanding parametric INS problem with varying wind velocities. Based on these insights, a non-intrusive reduced-order model (ROM) is constructed accounting for both wind velocity and direction. The study is conducted on a two-dimensional domain derived from real-world building footprints, preserving key features for analyzing the dispersion of, for instance, denser contaminants. The resulting ROM enables faster than real-time predictions of spatio-temporal contaminant dispersion from an instantaneous source under varying wind conditions. This capability allows assessing wind measurement uncertainties through a Monte Carlo analysis. To demonstrate the practical applicability, an interactive dashboard provides intuitive access to simulation results.
Problem

Research questions and friction points this paper is trying to address.

model order reduction
contaminant transport
computational cost
uncertainty quantification
Navier-Stokes equations
Innovation

Methods, ideas, or system contributions that make the work stand out.

Model Order Reduction
Non-Intrusive ROM
Uncertainty Quantification
Contaminant Transport
Real-Time Prediction
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L
Lisa Kühn
German Aerospace Center (DLR), Institute for the Protection of Terrestrial Infrastructures, Rathausallee 12, 53757 St. Augustin, Germany
J
Jacopo Bonari
German Aerospace Center (DLR), Institute for the Protection of Terrestrial Infrastructures, Rathausallee 12, 53757 St. Augustin, Germany
M
Max von Danwitz
German Aerospace Center (DLR), Institute for the Protection of Terrestrial Infrastructures, Rathausallee 12, 53757 St. Augustin, Germany
Alexander Popp
Alexander Popp
Professor of Computer-Based Simulation, Universität der Bundeswehr München
Computational MechanicsFinite Element AnalysisContact Mechanics