Procedural Synthesis using Vortex Particle Method for Fluid Simulation

We propose a fast and effective technique to improve sub‐grid visual details of the grid based fluid simulation. Our method procedurally synthesizes the flow fields coming from the incompressible Navier‐Stokes solver and the vorticity fields generated by vortex particle method for sub‐grid turbulence. We are able to efficiently animate smoke which is highly turbulent and swirling with small scale details. Since this technique does not solve the linear system in high‐resolution grids, it can perform fluid simulation more rapidly. We can easily estimate the influence of turbulent and swirling effect to the fluid flow.

[1]  Ronald Fedkiw,et al.  An Unconditionally Stable MacCormack Method , 2008, J. Sci. Comput..

[2]  Doug L. James,et al.  Wavelet turbulence for fluid simulation , 2008, SIGGRAPH 2008.

[3]  Ronald Fedkiw,et al.  Simulating water and smoke with an octree data structure , 2004, ACM Trans. Graph..

[4]  Ignacio Llamas,et al.  Advections with Significantly Reduced Dissipation and Diffusion , 2007, IEEE Transactions on Visualization and Computer Graphics.

[5]  Robert Bridson,et al.  Evolving sub-grid turbulence for smoke animation , 2008, SCA '08.

[6]  Chang-Hun Kim,et al.  Animating smoke with dynamic balance , 2005, Comput. Animat. Virtual Worlds.

[7]  Chang-Hun Kim,et al.  Animating smoke with dynamic balance: Natural Phenomena and Special Effects , 2005 .

[8]  Duc Quang Nguyen,et al.  Smoke simulation for large scale phenomena , 2003, ACM Trans. Graph..

[9]  Mark Drela,et al.  An Eulerian/Lagrangian coupling procedure for three-dimensional vortical flows , 1993 .

[10]  Fabrice Neyret,et al.  Advected textures , 2003, SCA '03.

[11]  Eugene Fiume,et al.  Turbulent wind fields for gaseous phenomena , 1993, SIGGRAPH.

[12]  Jos Stam,et al.  Stable fluids , 1999, SIGGRAPH.

[13]  Ronald Fedkiw,et al.  Visual simulation of smoke , 2001, SIGGRAPH.

[14]  Dimitris N. Metaxas,et al.  Modeling the motion of a hot, turbulent gas , 1997, SIGGRAPH.

[15]  Sang Il Park,et al.  Vortex fluid for gaseous phenomena , 2005, SCA '05.

[16]  Hyeong-Seok Ko,et al.  A Semi‐Lagrangian CIP Fluid Solver without Dimensional Splitting , 2008, Comput. Graph. Forum.

[17]  Ronald Fedkiw,et al.  A vortex particle method for smoke, water and explosions , 2005, ACM Trans. Graph..

[18]  Ming C. Lin,et al.  Fast animation of turbulence using energy transport and procedural synthesis , 2008, SIGGRAPH Asia '08.

[19]  Mark Drela,et al.  Eulerian/Lagrangian solution of 3-D rotational flows , 1990 .

[20]  Mark Drela,et al.  Reduction of numerical diffusion in three-dimensional vortical flows using a coupled Eulerian/Lagrangian solution procedure , 1993 .

[21]  Mark Drela,et al.  Eulerian/Lagrangian coupling procedure for three-dimensional vortical flows , 1995 .

[22]  Markus H. Gross,et al.  Particle-based fluid simulation for interactive applications , 2003, SCA '03.

[23]  Derek Nowrouzezahrai,et al.  Eurographics/ Acm Siggraph Symposium on Computer Animation (2006) a Controllable, Fast and Stable Basis for Vortex Based Smoke Simulation , 2022 .