Desingularization of periodic vortex sheet roll-up
Journal of Computational Physics
Combining physical and visual simulation—creation of the planet Jupiter for the film “2010”
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
On the hydrodynamics of soap films
Proceedings of the eighth annual international conference of the Center for Nonlinear Studies on Advances in fluid turbulence
An Eulerian approach for vortex motion using a level set regularization procedure
Journal of Computational Physics
Convergence Analysis for a Class of High-Order Semi-Lagrangian Advection Schemes
SIAM Journal on Numerical Analysis
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Computational fluid dynamics in a traditional animation environment
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Journal of Computational Physics
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Essentially Non-Oscillatory and Weighted Essentially Non-Oscillatory Schemes for Hyperbolic Conservation Laws
A viscous paint model for interactive applications: Research Articles
Computer Animation and Virtual Worlds - Special Issue: The Very Best Papers from CASA 2004
Vortex fluid for gaseous phenomena
Proceedings of the 2005 ACM SIGGRAPH/Eurographics symposium on Computer animation
Digital Marbling: A Multiscale Fluid Model
IEEE Transactions on Visualization and Computer Graphics
Stable, circulation-preserving, simplicial fluids
ACM SIGGRAPH 2006 Courses
Fast and exact signed Euclidean distance transformation with linear complexity
ICASSP '99 Proceedings of the Acoustics, Speech, and Signal Processing, 1999. on 1999 IEEE International Conference - Volume 06
AtelierM++: a fast and accurate marbling system
Multimedia Tools and Applications
Extended papers from NPAR 2010: Vector graphics depicting marbling flow
Computers and Graphics
Multimedia Tools and Applications
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In 2D, incompressible flows, the Stokes equations that represent the dynamics of very viscous flows and vorticity formulation of hydrodynamic equations both reduce to a scalar stream-function representation in terms of elliptic equations. By making use of this simplification and the properties of Fourier space representation of elliptic equations, we use a common spectral method to solve both of these equations. Based on this system of equations, we propose a level set based input description which provides a flexible environment for the user to model a wide range of flows and artistic effects in 2D. This input type allows the modeling of vortex sheet patterns and other complex flows with a very practical approach and chaotic, dynamic flows, even with viscous Stokes equations. A user interface is developed for the level set input which allows the user to draw the strokes or edit the level set data by applying transformation functions or perturbations. To sum up, this model can be used for the simulation of very viscous flows, vorticity dynamics, vortex sheet patterns, turbulent and chaotic flows as well as other artistic effects such as the traditional marbling patterns, with a simple, fast and stable system at high resolutions.