Model order reduction framework for problems with moving discontinuities

Harshit Bansal, Stephan Rave, Laura Iapichino, Wil H.A. Schilders, Nathan van de Wouw

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

3 Citations (Scopus)


We propose a new model order reduction (MOR) approach to obtain effective reduction for transport-dominated problems or hyperbolic partial differential equations. The main ingredient is a novel decomposition of the solution into a function that tracks the evolving discontinuity and a residual part that is devoid of shock features. This decomposition ansatz is then combined with Proper Orthogonal Decomposition applied to the residual part only to develop an efficient reduced-order model representation for problems with multiple moving and possibly merging discontinuous features. Numerical case-studies show the potential of the approach in terms of computational accuracy compared with standard MOR techniques.
Original languageEnglish
Title of host publicationNumerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference
Subtitle of host publicationEuropean Conference, Egmond aan Zee, The Netherlands, September 30 - October 4
EditorsFred J. Vermolen, Cornelis Vuik
Place of PublicationCham
Number of pages9
ISBN (Print)9783030558734
Publication statusPublished - 2021

Publication series

NameLecture Notes in Computational Science and Engineering
ISSN (Print)1439-7358
ISSN (Electronic)2197-7100


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