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Open AccessProceedings ArticleDOI

SPH Fluids in Computer Graphics

TLDR
This state-of-the-art report summarizes SPH research within the graphics community and shows how complex scenes with millions of sampling points, oneand two-way coupled rigid and elastic solids, multiple phases and additional features such as foam or air bubbles can be computed at reasonable expense.
Abstract
Smoothed Particle Hydrodynamics (SPH) has been established as one of the major concepts for fluid animation in computer graphics. While SPH initially gained popularity for interactive free-surface scenarios, it has emerged to be a fully fledged technique for state-of-the-art fluid animation with versatile effects. Nowadays, complex scenes with millions of sampling points, oneand two-way coupled rigid and elastic solids, multiple phases and additional features such as foam or air bubbles can be computed at reasonable expense. This state-of-the-art report summarizes SPH research within the graphics community.

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Citations
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Proceedings ArticleDOI

Divergence-free smoothed particle hydrodynamics

TL;DR: The divergence-free SPH (DFSPH) approach is significantly faster and more stable than current state-of-the-art SPH methods for incompressible fluids and can be demonstrated in simulations with millions of fast moving particles.
Journal ArticleDOI

Divergence-Free SPH for Incompressible and Viscous Fluids

TL;DR: This paper proposes a combination of two novel implicit pressure solvers enforcing both a low volume compression as well as a divergence-free velocity field for the efficient and stable simulation of incompressible fluids.
Journal ArticleDOI

A Review of Benchmark Experiments for the Validation of Peridynamics Models

TL;DR: The objective of the present paper is to review and catalog available experimental setups that have been used to date for the calibration and validation of peridynamics, and identify and analyze publications that compare PD-based simulation results with experimental data.
Journal ArticleDOI

Power particles: an incompressible fluid solver based on power diagrams

TL;DR: A new particle-based approach to incompressible fluid simulation is introduced, departing from previous Lagrangian methods by considering fluid particles no longer purely as material points, but also as volumetric parcels that partition the fluid domain.
Journal ArticleDOI

An implicit viscosity formulation for SPH fluids

TL;DR: A novel implicit formulation for highly viscous fluids simulated with Smoothed Particle Hydrodynamics SPH reconstructs the velocity field from a target velocity gradient that encodes a desired shear-rate damping and preserves the velocity divergence that is introduced by the SPH pressure solver to counteract density deviations.
References
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Proceedings ArticleDOI

Marching cubes: A high resolution 3D surface construction algorithm

TL;DR: In this paper, a divide-and-conquer approach is used to generate inter-slice connectivity, and then a case table is created to define triangle topology using linear interpolation.
Journal ArticleDOI

A continuum method for modeling surface tension

TL;DR: In this paper, a force density proportional to the surface curvature of constant color is defined at each point in the transition region; this force-density is normalized in such a way that the conventional description of surface tension on an interface is recovered when the ratio of local transition-reion thickness to local curvature radius approaches zero.
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Computer "Experiments" on Classical Fluids. I. Thermodynamical Properties of Lennard-Jones Molecules

TL;DR: In this article, the equilibrium properties of a system of 864 particles interacting through a Lennard-Jones potential have been integrated for various values of the temperature and density, relative, generally, to a fluid state.
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A numerical approach to the testing of the fission hypothesis.

L.B. Lucy
TL;DR: A finite-size particle scheme for the numerical solution of two-and three-dimensional gas dynamical problems of astronomical interest is described and tested in this article, which is then applied to the fission problem for optically thick protostars.
Journal ArticleDOI

Numerical solution of the Navier-Stokes equations

TL;DR: In this paper, a finite-difference method for solving the time-dependent Navier-Stokes equations for an incompressible fluid is introduced, which is equally applicable to problems in two and three space dimensions.