16–19 Feb 2025
Ringberg castle
Europe/Berlin timezone

Reduced-Order Models for Fluid Flow: A Physics-Preserving Approach

19 Feb 2025, 12:00
30m
Ringberg castle

Ringberg castle

Schloss Ringberg Schlossstraße 20 83708 Kreuth Coordinates: 47° 40' 43'' N 11° 44' 56'' E

Speaker

Yongho Kim (Max Planck Institute for Dynamics of Complex Technical System)

Description

Model order reduction (MOR) is a method designed to simplify high-dimensional systems by representing their states using a low-dimensional parametrization. It enhances computational efficiency and reduces memory usage but can lead to reduced simulation accuracy and difficulties in preserving system properties, such as sparsity, positivity, and incompressibility. Consequently, choosing an appropriate MOR approach with an optimal latent dimension is critical to achieving a balance between accuracy and efficiency.

In this work, we introduce autoencoders that reconstruct latent states using actual states sampled from a dataset. This method is compared against two well-known approaches: proper orthogonal decomposition and proper CUR decomposition. We develop reduced-order models of the wake flow around a single cylinder, governed by the incompressible Navier-Stokes equations, and evaluate their simulation accuracy and ability to preserve fundamental physical principles such as incompressibility.

Primary author

Yongho Kim (Max Planck Institute for Dynamics of Complex Technical System)

Co-authors

Jan Heiland (Max Planck Institute for Dynamics of Complex Technical System) Peter Benner (Max Planck Institute for Dynamics of Complex Technical System)

Presentation materials

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