|Title||Lagrangian Visualization of Flow-Embedded Surface Structures
|in||Computer Graphics Forum|
Christoph Garth, Alexander Wiebel, Xavier Tricoche, Ken Joy, Gerik Scheuermann |
Anna Vilanova, Alexandru Telea, Torsten Möller |
|Keyword(s)||flow visualization, separation/attachment, Lagrangian analysis|
|Date||May 26--28, 2008|
|Address||9600 Garsington Road, Oxford OX42DQ, UK|
The notions of Finite-Time Lyapunov Exponent (FTLE) and Lagrangian Coherent Structures provide a strong framework for the analysis and visualization of complex technical ﬂows. Their deﬁnition is simple and intuitive, and they are built on a deep theoretical foundation. We apply these concepts to enable the analysis of ﬂows in the immediate vicinity of the boundaries of ﬂow-embedded objects by limiting the Lagrangian analysis to surfaces closely neighboring these boundaries. To this purpose, we present an approach to approximate FTLE ﬁelds over such surfaces. Furthermore, we achieve an effective depiction of boundary-related ﬂow structures such as separation and attachment over object boundaries and speciﬁc insight into the surrounding ﬂow using several speciﬁcally chosen visualization techniques. We document the applicability of our methods by presenting a number of application examples.