MATHMOD 2022 Discussion Contributions

Nonlinear Model Order Reduction using Diffeomorphic Transformations of a Space-Time Domain

ARGESIM Report 17 (ISBN 978-3-901608-95-7), p 57-58, DOI: 10.11128/arep.17.a17129

Abstract

Hyperbolic conservation laws play an important role in many applications. For instance, modeling the behavior of fluids or gases leads to conservation equations for quantities like mass, momentum, or energy. The resulting equations are typically nonlinear and exhibit phenomena like shock formation and transport.