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检索条件"丛书名=Mathematics and Visualization"

共 253 条记录，以下是161-170 订阅

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visualization of Coherent Structures in Transient 2D Flows 2nd

Visualization of Coherent Structures in Transient 2D Flows

引用

2nd Workshop on Topology-Based Methods in visualization

作者： Garth, Christoph Li, Cuo-Shi Tricoche, Xavier Hansen, Charles D. Hageni, Hans Univ Kaiserslautern D-67663 Kaiserslautern Germany Univ Utah Salt Lake City UT 84112 USA

ISBN: (纸本)9783540886051

The depiction of a time-dependent flow in a way that effectively supports the structural analysis of its salient patterns is still a challenging problem for flow visualization research. While a variety of powerful approaches have been investigated for over a decade now, none of them so far has been able to yield representations that effectively combine good visual quality and a physical interpretation that is both intuitive and reliable. Yet, with the huge amount of flow data generated by numerical computations of growing size and complexity, scientists and engineers are faced with a daunting analysis task in which the ability to identify, extract, and display the most meaningful information contained in the data is becoming absolutely indispensable.

关键词： Flow visualization

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Bringing Topology-Based Flow visualization to the Application Domain 2nd

Bringing Topology-Based Flow Visualization to the Applicatio...

引用

2nd Workshop on Topology-Based Methods in visualization

作者： Laramee, Robert S. Chen, Guoning Jankun-Kelly, Monika Zhang, Eugene Thompson, David Swansea Univ Dept Comp Sci Swansea W Glam Wales Oregon State Univ Corvallis OR 97331 USA Mississippi State Univ Mississippi State MS USA

ISBN: (纸本)9783540886051

The visualization community is currently witnessing strong advances in topology-based flow visualization research. Numerous algorithms have been proposed since the introduction of this class of approaches in 1989. Yet despite the many advances in the field, topology-based flow visualization methods have, until now, failed to penetrate industry. Application domain experts are still, in general, not using topological analysis and visualization in daily practice. We present a range of state-of-the art topology-based flow visualization methods such as vortex core line extraction, singularity and separatrix extraction, and periodic orbit extraction techniques, and apply them to real-world data sets. Applications include the visualization of engine simulation data such as in-cylinder flow, cooling jacket flow, as well as flow around a spinning missile. The novel application of periodic orbit extraction to the boundary surface of a cooling jacket is presented. Based on our experiences, we then describe what we believe needs to be done in order to bring topological flow visualization methods to industry-level software applications. We believe this discussion will inspire useful directions for future work.

关键词： flow visualization feature-based flow visualization flow topology applications

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Path Line Attributes - an Information visualization Approach to Analyzing the Dynamic Behavior of 3D Time-Dependent Flow Fields 2nd

Path Line Attributes - an Information Visualization Approach...

引用

2nd Workshop on Topology-Based Methods in visualization

作者： Shi, Kuangyu Theisel, Holger Hauser, Helwig Weinkauf, Tino Matkovic, Kresimir Hege, Hans-Christian Seidel, Hans-Peter MPI Informat D-66123 Saarbrucken Germany Univ Bielefeld Bielefeld Germany VRV A-1220 Vienna Austria Zuse Inst Berlin D-14159 Berlin Germany

ISBN: (纸本)9783540886051

We describe an approach to visually analyzing the dynamic behavior of 3D time-dependent flow fields by considering the behavior of the path lines. At selected positions in the 4D space-time domain, we compute a number of local and global properties of path lines describing relevant features of them. The resulting multivariate data set is analyzed by applying state-of-the-art information visualization approaches in the sense of a set of linked views (scatter plots, parallel coordinates, etc.) with interactive brushing and focus+context visualization. The selected path lines with certain properties are integrated and visualized as colored 3D curves. This approach allows an interactive exploration of intricate 4D flow structures. We apply our method to a number of flow data sets and describe how path line attributes are used for describing characteristic features of these flows.

关键词： Flow fields

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Topology-Based Methods in visualization II 2009

引用

丛书名： mathematics and visualization

2009年

作者： Hans-Christian Hege Konrad Polthier Gerik Scheuermann

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Streamline and Vortex Line Analysis of the Vortex Breakdown in a Confined Cylinder Flow 2nd

Streamline and Vortex Line Analysis of the Vortex Breakdown ...

引用

2nd Workshop on Topology-Based Methods in visualization

作者： Ruetten, Markus Boehme, Gert German Aerospace Center (DLR) Institute of Aerodynamics and Flow Technology Germany Institute of Mechanics Helmut-Schmidt-University Germany

ISBN: (纸本)9783540886051

The vortex breakdown phenomenon occurring in a rotating flow within a closed cylinder is still a challenging research field. In particular the goal to describe all significant order parameters of vortex breakdown is not reached. For further insight the viscous and laminar Newtonian flow inside a cylinder with a rotating lid has been calculated by solving the full Navier Stokes equations. During the simulation the rotational speed of the lid has been increased, which causes a gradual transition of the internal flow field topology. Starting from a flow field without any reversed flow at the vortex axis the vortex breakdown phenomenon develops indicated by one or more vortex breakdown bubbles. A phenomenological description of the vortex breakdown process is given by applying a topological analysis to the flow field, which illustrates the main flow structures, their behaviour and changes. By visualization of critical points, at which the velocity magnitude vanishes, the topological flow structure change of the velocity field becomes obvious. Additionally their associated separatrices are integrated into the field, which allows to illustrate the shape of the vortex breakdown bubbles. In particular the spherical shape of the first appearing breakdown bubble leads to the idea to introduce a stream function, which describes the spherical breakdown bubble approximately. Applying a Taylor expansion of the velocity field leads to an analytical description of the local streamline topology nearby one critical point of a breakdown bubble. The interpretation of the appendant differential equations allows a deeper insight into the dynamical behaviour of the breakdown phenomenon and its main enforcing parameters. The paper presents the results of a local streamline and vortex line topology analysis, especially the dynamical relation between the velocity and vorticity field in regard to the topological structure of the vortex breakdown phenomenon in the lid driven cylinder.

关键词： Flow fields

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Critical Points of the Electric Field from a Collection of Point Charges 2nd

Critical Points of the Electric Field from a Collection of P...

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2nd Workshop on Topology-Based Methods in visualization

作者： Max, Nelson Weinkauf, Tino Lawrence Livermore Natl Lab 7000 E Ave Livermore CA 94550 USA Zuse Inst Berlin D-14195 Berlin Germany

ISBN: (纸本)9783540886051

The electric Field around a molecule is generated by the charge distribution of its constituents: positively charged atomic nuclei, which are well approximated by point charges, and negatively charged electrons, whose probability density distribution can be computed from quantum mechanics (Atoms in Molecules: A Quantum Theory, Clarendon, Oxford, 1990). For the purposes of molecular mechanics or dynamics, the charge distribution is often approximated by a collection of point charges, with either a single partial charge at each atomic nucleus position, representing both the nucleus and the electrons near it, or as several different point charges per atom.

关键词： Charge distribution

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Topology Based Selection and Curation of Level Sets 2nd

Topology Based Selection and Curation of Level Sets

引用

2nd Workshop on Topology-Based Methods in visualization

作者： Bajaj, Chandrajit Gillette, Andrew Goswami, Samrat Univ Texas Austin Ctr Computat Visualizat Austin TX 78712 USA

ISBN: (纸本)9783540886051

The selection of appropriate level sets for the quantitative visualization of three dimensional imaging or simulation data is a problem that is both fundamental and essential. The selected level set needs to satisfy several topological and geometric constraints to be useful for subsequent quantitative processing and visualization. For an initial selection of an isosurface, guided by contour tree data structures, we detect the topological features by computing stable and unstable manifolds of the critical points of the distance function induced by the isosurface. We further enhance the description of these features by associating geometric attributes with them. We then rank the attributed features and provide a handle to them for curation of the topological anomalies.

关键词： Data visualization

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Extraction of Separation Manifolds using Topological Structures in Flow Cross Sections 2nd

Extraction of Separation Manifolds using Topological Structu...

引用

2nd Workshop on Topology-Based Methods in visualization

作者： Wiebel, Alexander Tricoche, Xavier Scheuermann, Gerik Univ Leipzig Inst Informat Leipzig Germany Univ Utah Sci Comp and Imaging Inst Salt Lake City UT 84112 USA

ISBN: (纸本)9783540886051

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.

关键词： Flow separation

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Representing Interpolant Topology for Contour Tree Computation 2nd

Representing Interpolant Topology for Contour Tree Computati...

引用

2nd Workshop on Topology-Based Methods in visualization

作者： Carr, Hamish Snoeyink, Jack Univ Coll Dublin Dublin Ireland Univ N Carolina Chapel Hill NC USA

ISBN: (纸本)9783540886051

Algorithms for computing contour trees for visualization commonly assume that the input is defined by barycentric interpolation on simplicial meshes or by trilinear interpolation on cubic meshes. In this paper, we describe a general framework for computing contour trees from a graph that captures all significant topological features. We show how to construct these graphs from any mesh-based interpolant by using cell-by-cell "widgets," and also how to avoid constructing the entire graphs by making finite state machines that capture their traversals. Our framework eases algorithm development and implementation, and can be used to establish relationships between interpolants. for example, we use it to demonstrate a formal equivalence between the topology defined by implicitly disambiguated marching cubes cases and the topology induced by 8-/18- digital image connectivity.

关键词： Interpolation

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Visualizing Lagrangian Coherent Structures and Comparison to Vector Field Topology 2nd

Visualizing Lagrangian Coherent Structures and Comparison to...

引用

2nd Workshop on Topology-Based Methods in visualization

作者： Sadlo, Filip Peikert, Ronald ETH Dept Comp Sci Comp Graph Lab Zurich Switzerland

ISBN: (纸本)9783540886051

This paper takes a look at the visualization side of vector field analysis based on Lagrangian coherent structures. The Lagrangian coherent structures are extracted as height ridges of finite-time Lyapunov exponent fields. The resulting visualizations are compared to those from traditional instantaneous vector field topology of steady and unsteady vector fields: they often provide more and better interpretable information. The examination is applied to 3D vector fields from a dynamical system and practical CFD simulations.

关键词： visualization

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