Low viscosity flow simulations for animation

Jeroen Molemaker, Jonathan M. Cohen, Sanjit Patel, Jonyong Noh
Rhythm and Hues, USA
In SCA ’08: Proceedings of the 2008 ACM SIGGRAPH/Eurographics Symposium on Computer Animation (2008), pp. 9-18


   title={Low viscosity flow simulations for animation},

   author={Molemaker, J. and Cohen, J.M. and Patel, S. and Noh, J.},

   booktitle={Proceedings of the 2008 ACM SIGGRAPH/Eurographics Symposium on Computer Animation},



   organization={Eurographics Association}


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We present a combination of techniques to simulate turbulent fluid flows in 3D. Flow in a complex domain is modeled using a regular rectilinear grid with a finite-difference solution to the incompressible Navier-Stokes equations. We propose the use of the QUICK advection algorithm over a globally high resolution grid. To calculate pressure over the grid, we introduce the Iterated Orthogonal Projection (IOP) framework. In IOP a series of orthogonal projections ensures that multiple conditions such as non-divergence and boundary conditions arising through complex domains shapes or moving objects will be satisfied simultaneously to specified accuracy. This framework allows us to use a simple and highly efficient multigrid method to enforce non-divergence in combination with complex domain boundary conditions. IOP is amenable to GPU implementation, resulting in over an order of magnitude improvement over a CPU-based solver. We analyze the impact of these algorithms on the turbulent energy cascade in simulated fluid flows and the resulting visual quality.
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