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High Order Whitney Forms on Simplices and the Question of Potentials Read chapter Read first chapter

2021 | OriginalPaper | Chapter

Model Order Reduction Framework for Problems with Moving Discontinuities

Authors : H. Bansal, S. Rave, L. Iapichino, W. Schilders, N. van de Wouw

Published in: Numerical Mathematics and Advanced Applications ENUMATH 2019

Publisher: Springer International Publishing

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Abstract

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.

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previous chapter Applications of the PRESB Preconditioning Method for OPT-PDE Problems
next chapter Numerical Simulation of a Phase-Field Model for Reactive Transport in Porous Media
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Metadata
Title
Model Order Reduction Framework for Problems with Moving Discontinuities
Authors
H. Bansal
S. Rave
L. Iapichino
W. Schilders
N. van de Wouw
Copyright Year
2021
Book
Numerical Mathematics and Advanced Applications ENUMATH 2019

Print ISBN: 978-3-030-55873-4

Electronic ISBN: 978-3-030-55874-1

Copyright Year: 2021

DOI
https://doi.org/10.1007/978-3-030-55874-1_7

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