Extraction of Separation Manifolds using Topological Structures in Flow Cross Sections
نویسندگان
چکیده
The study of flow separation from walls or solid objects is still an active research area in the fluid dynamics and flow visualization communities and many open questions remain. This paper aims at introducing a new method for the extraction of separation manifolds originating from separation lines. We address the problem from the flow visualization side by investigating features in flow cross sections around separation lines. We use the topological signature of the separation in these sections, in particular the presence of saddle points and their separatrices, as a guide to initiate the construction of the separation manifolds. Having this first part we use well known stream surface construction methods to propagate the surface further into the flow. Additionally, we discuss some lessons learned in the course of our experimentation with well known and new ideas for the extraction of separation lines.
منابع مشابه
Localized flow, particle tracing, and topological separation analysis for flow visualization
The present thesis focuses on the visualization of vector fields with an emphasis on flow fields. In connection with a DFG project, close collaboration and discussions with fluid dynamicists raised new questions concerning the detection and depiction of special features in flows. The contributions of the thesis in this context are the following: First, we present and apply a method to extract t...
متن کاملEffect of Crest Roughness on Flow Characteristics over Circular Weirs
Different construction materials with different roughness used to make circular weirs highly affect surface roughness and, in turn, flow hydraulics passing over these structures. In the present research, numerous experiments under different hydraulic conditions were performed on a physical model to study the effects of roughness on flow hydraulics over a circular weir. The flow hydraulics incl...
متن کاملOn Einstein metrics, normalized Ricci flow and smooth structures on 3CP#kCP
In this paper, first we consider the existence and nonexistence of Einstein metrics on the topological 4-manifolds 3CP#kCP, the connected sum of CP with both choices of orientation, by using the idea of Răsdeaconu–Şuvaina, 2009, and the constructions in Park–Park– Shin, 2013. Then, we study the existence or nonexistence of nonsingular solutions of the normalized Ricci flow on the exotic smooth ...
متن کاملOn generalized topological molecular lattices
In this paper, we introduce the concept of the generalized topological molecular lattices as a generalization of Wang's topological molecular lattices, topological spaces, fuzzy topological spaces, L-fuzzy topological spaces and soft topological spaces. Topological molecular lattices were defined by closed elements, but in this new structure we present the concept of the open elements and defi...
متن کامل