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https://www.academia.edu/11368815/Simple_Divergence_Free_Fields_for_Artistic_Simulation
One such effect is the divergence-free property of incompressible fluids, that the sum of the flux arriving at a position equals zero. Simulating this effect can cause swirls and eddies to appear plausibly in the flow, adding detail and realism. In this paper, we present fast new interpolation techniques for calculating divergence-free fields.
https://www.researchgate.net/publication/220494155_Simple_Divergence-Free_Fields_for_Artistic_Simulation
We discuss tools for calculating divergence-free fields for artistic particle simulations. We introduce a simple, fast divergence-free noise function which can be used for turbulence.
http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.611.9001&rep=rep1&type=pdf
Simple Divergence-Free Fields for Artistic Simulation Mayur Patel1 Animal Logic Film Noah Taylor2 Animal Logic Film A bstract We discuss tools for calculating divergence-free fields for artistic particle simulations. We introduce a simple, fast divergence-free noise function which can be used for turbulence. We also describe how the
https://en.wikipedia.org/wiki/Simulation_noise
Aug 05, 2006 · Simulation noise is a function that creates a divergence-free field. This signal can be used in artistic simulations for the purposes of increasing the perception of extra detail. The function can be calculated in three dimensions by dividing the space into a regular lattice grid.
https://www.academia.edu/18125534/Divergence_Free_Noise
In this paper, we describe a method for generating a divergence- free vector field from a scalar noise function. Noise functions have numerous uses in the visual simulation of various phenomena, how- ever they lack many of the desireable features of
https://www.researchgate.net/publication/328033621_Coupling_Computation_of_Density-Invariant_and_Divergence-Free_for_Improving_Incompressible_SPH_Efficiency
This method shortens the time of fluid simulation by coupling the two conditions of density-invariant and divergence-free, and achieves the similar simulation effect compared with other methods.
http://web.stanford.edu/class/me469b/handouts/incompressible.pdf
Velocity field (divergence free) available at time n Compute intermediate velocities u* and p’ as in SIMPLE Solve the Poisson equation for the pressure correction p(m+1)’ u*’ mis obtained from u ’ Compute the new velocity un+1and pressurepn+1fields Solve the velocity correction equation for u(m+1)’ u*’ is obtained from u m’
https://www.sciencedirect.com/science/article/pii/S0021999120305854
Dec 15, 2020 · The filtered DNS fields in (a) and (b) are projected onto divergence-free manifolds. Spectra in (a) and (b) are at t / t ℓ ,0 = 0.05. In (c), the case has become unstable at this time, and the is showing signs of high-wavenumber divergence.
https://www.sciencedirect.com/topics/computer-science/fluid-simulation
In Eulerian simulations, it is relatively easy to enforce incompressibility by solving a global linear system. An analogous method exists for SPH simulation [KO96, PTB + 03]. In practice, methods that use an auxiliary grid to solve for a divergence-free velocity field [Har64, BR86, ZB05] are more common.
https://falstad.com/vector/
This java applet demonstrates various properties of vector fields. You can select from a number of vector fields and see how particles move if it is treated as either a velocity or a force field. This helps you visualize the field. The menu in the upper right has a variety of different fields to choose from. You can also input your own by ...
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