Computing a null divergence velocity field using smoothed particle hydrodynamics

Authors:
F. Colin;R. Egli;F. Y. Lin
Affiliations:
Department of Mathematics and Computer Science, Laurentian University, Sudbury, Ont., Canada;Département d'informatique, Université de Sherbrooke, Sherbrooke, Que., Canada;Département d'informatique, Université de Sherbrooke, Sherbrooke, Que., Canada
Venue:
Journal of Computational Physics
Year:
2006

Citing 8
Cited 7

Realistic animation of liquids

Graphical Models and Image Processing
Modeling low Reynolds number incompressible flows using SPH

Journal of Computational Physics
Smoothed particles: a new paradigm for animating highly deformable bodies

Proceedings of the Eurographics workshop on Computer animation and simulation '96
A conservative adaptive projection method for the variable density incompressible Navier-Stokes equations

Journal of Computational Physics
Stable fluids

Proceedings of the 26th annual conference on Computer graphics and interactive techniques
An SPH projection method

Journal of Computational Physics
A simplified approach to enhance the performance of smooth particle hydrodynamics methods

Applied Mathematics and Computation
Particle-based fluid simulation for interactive applications

Proceedings of the 2003 ACM SIGGRAPH/Eurographics symposium on Computer animation

Incompressible smoothed particle hydrodynamics

Journal of Computational Physics
A regularized Lagrangian finite point method for the simulation of incompressible viscous flows

Journal of Computational Physics
A point-based method for animating incompressible flow

Proceedings of the 2009 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Accuracy and stability in incompressible SPH (ISPH) based on the projection method and a new approach

Journal of Computational Physics
An unconditionally stable fully conservative semi-Lagrangian method

Journal of Computational Physics
Consistent surface model for SPH-based fluid transport

Proceedings of the 12th ACM SIGGRAPH/Eurographics Symposium on Computer Animation
An adaptive discretization of incompressible flow using a multitude of moving Cartesian grids

Journal of Computational Physics

Quantified Score

Hi-index	31.47

Visualization

Abstract

A new use of smoothed particle hydrodynamics (SPH) in fluid simulation is presented: an algorithm solving the Helmholtz-Hodge decomposition using SPH in order to find the null divergence velocity field for incompressible flow simulation. Accordingly, a new version of the Laplacian for a vector field is proposed here. In order to improve the accuracy of the SPH technique, the paper also presents some test problems for understanding the limitations of different kinds of gradient and Laplacian approximation formulas.