Image based flow visualization for curved surfaces

Wijk, Jarke J. van

doi:10.1109/visual.2003.1250363

Cited by 78 publications

(61 citation statements)

References 30 publications

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“…Different approaches to incorporating this normal component of the flow with respect to the isosurface in the visualization include: (1) varying the texture convolution filter [1] or the surface color opacity according to the cross flow [10] or the possibility of not projecting the velocity vectors onto the surface [20]. For a more detailed discussion on this topic we refer to previous literature [10].…”

Section: Texture-based Flow Visualizationmentioning

confidence: 99%

Investigating swirl and tumble flow with a comparison of visualization techniques

Laramee

Weiskopf

Schneider³

et al.

IEEE Visualization 2004

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Figure 1: Visualization of swirl and tumble flow using a combination of direct color-mapping, streamlines, isosurfaces, texture-based flow visualization and slicing. (Left) visualizing swirl flow using 3D streamlines and texture-based flow visualization on an isosurface, (middle-left) a clipping plane is applied to reveal occluded flow structures, (middle-right) an isosurface and 3D streamlines visualize tumble motion, and (right) the addition of texture-based flow visualization on a color-mapped slice. ABSTRACTWe investigate two important, common fluid flow patterns from computational fluid dynamics (CFD) simulations, namely, swirl and tumble motion typical of automotive engines. We study and visualize swirl and tumble flow using three different flow visualization techniques: direct, geometric, and texture-based. When illustrating these methods side-by-side, we describe the relative strengths and weaknesses of each approach within a specific spatial dimension and across multiple spatial dimensions typical of an engineer's analysis. Our study is focused on steady-state flow. Based on this investigation we offer perspectives on where and when these techniques are best applied in order to visualize the behavior of swirl and tumble motion.

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Section: Texture-based Flow Visualizationmentioning

confidence: 99%

Investigating swirl and tumble flow with a comparison of visualization techniques

Laramee

Weiskopf

Schneider³

et al.

IEEE Visualization 2004

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“…11 (the dataset is taken from [van Wijk 2003]). The flow texture in the bottom row was produced with the IBFV method described in [van Wijk 2003]. …”

Section: Flow Fields On Surfacesmentioning

confidence: 99%

Flow field clustering via algebraic multigrid

Griebel

Preußer

Rumpf

et al.

IEEE Visualization 2004

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We present a novel multiscale approach for flow visualization. We define a local alignment tensor that encodes a measure for alignment to the direction of a given flow field. This tensor induces an anisotropic differential operator on the flow domain, which is discretized with a standard finite element technique. The entries of the corresponding stiffness matrix represent the anisotropically weighted couplings of adjacent nodes of the domain mesh. We use an algebraic multigrid algorithm to generate a hierarchy of fine to coarse descriptions for the above coupling data. This hierarchy comprises a set of coarse grid nodes, a multiscale of basis functions and their corresponding supports. We use these supports to obtain a multilevel decomposition of the flow structure. Standard streamline icons are used to visualize this decomposition at any user-selected level of detail. The method provides a single framework for vector field decomposition independent on the domain dimension or mesh type. Applications are shown in 2D, for flow fields on curved surfaces, and for 3D volumetric flow fields.

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“…Object space: Immersing the vector field on the surface into a 3D volume enables the field to be treated as 3D, which means that streamline tracing can be performed [18,12]. Image space: Recently two methods, ISA (Image Space Advection) [13] and IBFVS (Image Based Flow Visualization for Curved Surfaces), [26] have been proposed to enable high-performance visualization of flow on surfaces. A side-by-side comparison of the two methods can be found in [14].…”

Section: Visualization Of Vector Fields On Surfacesmentioning

confidence: 99%

Representing Higher-Order Singularities in Vector Fields on Piecewise Linear Surfaces

Vallet

Lévy

2006

IEEE Trans. Visual. Comput. Graphics

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Abstract-Accurately representing higher-order singularities of vector fields defined on piecewise linear surfaces is a non-trivial problem. In this work, we introduce a concise yet complete interpolation scheme of vector fields on arbitrary triangulated surfaces. The scheme enables arbitrary singularities to be represented at vertices. The representation can be considered as a facet-based "encoding" of vector fields on piecewise linear surfaces. The vector field is described in polar coordinates over each facet, with a facet edge being chosen as the reference to define the angle. An integer called the period jump is associated to each edge of the triangulation to remove the ambiguity when interpolating the direction of the vector field between two facets that share an edge. To interpolate the vector field, we first linearly interpolate the angle of rotation of the vectors along the edges of the facet graph. Then, we use a variant of Nielson's side-vertex scheme to interpolate the vector field over the entire surface. With our representation, we remove the bound imposed on the complexity of singularities that a vertex can represent by its connectivity. This bound is a limitation generally exists in vertex-based linear schemes. Furthermore, using our data structure, the index of a vertex of a vector field can be combinatorily determined. We show the simplicity of the interpolation scheme with a GPU-accelerated algorithm for a LIC-based visualization of the so-defined vector fields, operating in image space. We demonstrate the algorithm applied to various vector fields on curved surfaces.

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Image based flow visualization for curved surfaces

Cited by 78 publications

References 30 publications

Investigating swirl and tumble flow with a comparison of visualization techniques

Investigating swirl and tumble flow with a comparison of visualization techniques

Flow field clustering via algebraic multigrid

Representing Higher-Order Singularities in Vector Fields on Piecewise Linear Surfaces

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