The state of the art in topology‐based visualization of unsteady flow

A Pobitzer, R Peikert, R Fuchs… - Computer Graphics …, 2011 - Wiley Online Library
Vector fields are a common concept for the representation of many different kinds of flow
phenomena in science and engineering. Methods based on vector field topology are known …

A survey of topology‐based methods in visualization

C Heine, H Leitte, M Hlawitschka… - Computer Graphics …, 2016 - Wiley Online Library
This paper presents the state of the art in the area of topology‐based visualization. It
describes the process and results of an extensive annotation for generating a definition and …

The computation of finite-time Lyapunov exponents on unstructured meshes and for non-Euclidean manifolds

F Lekien, SD Ross - Chaos: An Interdisciplinary Journal of Nonlinear …, 2010 - pubs.aip.org
We generalize the concepts of finite-time Lyapunov exponent (FTLE) and Lagrangian
coherent structures to arbitrary Riemannian manifolds. The methods are illustrated for …

[PDF][PDF] On the way towards topology-based visualization of unsteady flow-the state of the art

A Pobitzer, R Peikert, R Fuchs, B Schindler… - H. und E. Reinhard …, 2010 - diglib.eg.org
Vector fields are a common concept for the representation of many different kinds of flow
phenomena in science and engineering. Methods based on vector field topology have …

Introduction to vector field topology

T Günther, I Baeza Rojo - Topological Methods in Data Analysis and …, 2021 - Springer
Flow visualization is a research discipline that is concerned with the visual exploration and
analysis of vector fields. An important class of methods are the topology-based techniques …

Dynamic mode decomposition for large-scale coherent structure extraction in shear flows

DB Nguyen, P Wu, RO Monico… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
Large-scale structures have been observed in many shear flows which are the fluid
generated between two surfaces moving with different velocity. A better understanding of the …

A variance based FTLE-like method for unsteady uncertain vector fields

D Schneider, J Fuhrmann, W Reich… - Topological Methods in …, 2011 - Springer
We present a novel approach to obtain FTLE-like structures and visualizations for uncertain
vector fields. We compute the flow map for a time interval now mapping to particle …

Detection and visualization of splat and antisplat events in turbulent flows

B Nsonga, M Niemann, J Fröhlich… - IEEE transactions on …, 2019 - ieeexplore.ieee.org
Splat and antisplat events are a widely found phenomenon in three-dimensional turbulent
flow fields. Splats are observed when fluid locally impinges on an impermeable surface …

Unsteady aerodynamic models for agile flight at low Reynolds number

S Brunton, C Rowley - … AIAA Aerospace Sciences Meeting Including the …, 2010 - arc.aiaa.org
The goal of this work is to develop low-order models for the unsteady aerodynamic forces on
a small wing in response to agile maneuvers and gusts. In a previous study, it was shown …

Smooth stream surfaces of fourth order precision

D Schneider, A Wiebel… - Computer Graphics …, 2009 - Wiley Online Library
We introduce a novel technique for the construction of smooth stream surfaces of 4th order
precision. While common stream surface techniques use linear interpolation for generating …