Optimization-based modal decomposition for systems with multiple transports

02/26/2020
by   Julius Reiss, et al.
0

Mode-based model-reduction is used to reduce the degrees of freedom of high dimensional systems, often by describing the system state by a linear combination of spatial modes. Transport dominated phenomena, ubiquitous in technical and scientific applications, often require a large number of linear modes to obtain a small representation error. This difficulty, even for the most simple transports, originates from the inappropriateness of the decomposition structure in time dependent amplitudes of purely spatial modes. In this article an approach is discussed, which decomposes a flow field into several fields of co-moving frames, where each one can be approximated by a few modes. The method of decomposition is formulated as an optimization problem. Different singular-value-based objective functions are discussed and connected to former formulations. A boundary treatment is provided. The decomposition is applied to generic cases and to a technically relevant flow configuration of combustion physics.

READ FULL TEXT

page 14

page 19

page 20

research
07/07/2021

Decomposition of flow data via gradient-based transport optimization

We study an optimization problem related to the approximation of given d...
research
09/17/2019

On the Physical Interpretation of Proper Orthogonal Decomposition and Dynamic Mode Decomposition for Liquid Injection

The modal decomposition techniques of proper orthogonal decomposition (P...
research
12/16/2020

Visualization and Selection of Dynamic Mode Decomposition Components for Unsteady Flow

Dynamic Mode Decomposition (DMD) is a data-driven and model-free decompo...
research
01/31/2023

Convolutional autoencoder for the spatiotemporal latent representation of turbulence

Turbulence is characterised by chaotic dynamics and a high-dimensional s...
research
03/17/2020

Modeling and solving a vehicle-sharing problem considering multiple alternative modes of transport

Motivated by the change in mobility patterns, we present a scheduling ap...
research
01/13/2023

A hybrid probabilistic domain decomposition algorithm suited for very large-scale elliptic PDEs

State of the art domain decomposition algorithms for large-scale boundar...

Please sign up or login with your details

Forgot password? Click here to reset