2011
DOI: 10.1002/nme.3303
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A new particle method for simulation of incompressible free surface flow problems

Abstract: SUMMARYA new Lagrangian particle method called the consistent particle method (CPM), which solves the NavierStokes equations in a semi-implicit time stepping scheme, is proposed in this paper. Instead of using kernel function as in some particle methods, partial differential operators are approximated in a way consistent with Taylor series expansion. A boundary particle recognition method is applied to help define the changing liquid domain. The incompressibility condition of free surface particles is enforced… Show more

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Cited by 89 publications
(101 citation statements)
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References 63 publications
(98 reference statements)
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“…A simplified version of the method used by Koh et al [26] is adopted. If the "circle" is completely covered by its neighbours, then it is recognized as an inner fluid particle, otherwise it is a free surface particle.…”
Section: D) Free Surface Identificationmentioning
confidence: 99%
See 1 more Smart Citation
“…A simplified version of the method used by Koh et al [26] is adopted. If the "circle" is completely covered by its neighbours, then it is recognized as an inner fluid particle, otherwise it is a free surface particle.…”
Section: D) Free Surface Identificationmentioning
confidence: 99%
“…For example, the current distance between two particles are not very small (which will not activate the particle shifting scheme), but they have large relative velocities which mean they will get very close after prediction step. As a consequence, similar to [26], a simple collision handling technique is applied here. The basic idea of this approach is that the relative velocities between particles are set to be zero when they are forecasted to be closer than the threshold before the prediction step.…”
Section: Particle Shifting and Collision Handlingmentioning
confidence: 99%
“…(3.2)-(3.5)) are of second-order. a) Free surface particle identification A simplified version of the method used by Koh et al (Koh et al, 2012) is adopted. If the "circle" is completely covered by its neighbors, then it is recognized as an inner fluid particle, otherwise it is a free surface particle.…”
Section: Boundary Conditions For Poisson Equation A) Pressure Neumannmentioning
confidence: 99%
“…The time step Δ t at step k + 1 has to satisfy the Courant condition as normalΔt0.2L0vmax, where vmax the maximum particle velocity at step k .…”
Section: Governing Equationmentioning
confidence: 99%