Imaging vector fields using line integral convolution
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Visualizing vector fields using line integral convolution and dye advection
Proceedings of the 1996 symposium on Volume visualization
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Hardware-accelerated texture advection for unsteady flow visualization
Proceedings of the conference on Visualization '00
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Image based flow visualization
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Lagrangian-Eulerian advection for unsteady flow visualization
Proceedings of the conference on Visualization '01
Lagrangian-Eulerian Advection of Noise and Dye Textures for Unsteady Flow Visualization
IEEE Transactions on Visualization and Computer Graphics
VIS '95 Proceedings of the 6th conference on Visualization '95
Parallel Scientific Computing in C++ and MPI
Parallel Scientific Computing in C++ and MPI
Flow volumes for interactive vector field visualization
VIS '93 Proceedings of the 4th conference on Visualization '93
Advections with Significantly Reduced Dissipation and Diffusion
IEEE Transactions on Visualization and Computer Graphics
Stable, circulation-preserving, simplicial fluids
ACM Transactions on Graphics (TOG)
GPUFLIC: interactive and accurate dense visualization of unsteady flows
EUROVIS'06 Proceedings of the Eighth Joint Eurographics / IEEE VGTC conference on Visualization
Visualization of Advection-Diffusion in Unsteady Fluid Flow
Computer Graphics Forum
Mass-dependent integral curves in unsteady vector fields
EuroVis '13 Proceedings of the 15th Eurographics Conference on Visualization
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Dye advection is widely used in experimental flow analysis but has seen less use for visualization in computational fluid dynamics. One possible reason for this disconnect is the inaccuracy of the texture-based approach, which is prone to artifacts caused by numeric diffusion and mass fluctuation. In this paper, we introduce a novel 2D dye advection scheme for flow visualization based on the concept of control volume analysis typically used in computational fluid dynamics. The evolution of dye patterns in the flow field is achieved by advecting individual control volumes, which collectively cover the entire spatial domain. The local variation of dye material, represented as a piecewise quasi-parabolic function, is integrated within each control volume resulting in mass conserving transport without excessive numerical diffusion. Due to its physically based formulation, this approach is capable of conveying intricate flow structures not shown in the traditional dye advection schemes while avoiding visual artifacts.