2010
DOI: 10.1002/fld.2132
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A weakly compressible MPS method for modeling of open‐boundary free‐surface flow

Abstract: SUMMARYA mesh-free particle method, based on the moving particle semi-implicit (MPS) interaction model, has been developed for the simulation of two-dimensional open-boundary free-surface flows. The incompressibility model in the original MPS has been replaced with a weakly incompressible model. The effect of this replacement on the efficiency and accuracy of the model has been investigated. The new inflow-outflow boundary conditions along with the particle recycling strategy proposed in this study extend the … Show more

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Cited by 186 publications
(152 citation statements)
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“…Later Lastiwka et al (2009) developed a WCSPH model for the imposition of permeable boundary conditions for the gas dynamics. Moreover, Shakibaeinia and Jin (2010) and Federico et al (2012) used different particle recycling techniques for more practical open channel hydraulics. Gotoh et al (2001) developed a novel soluble wall concept to generate the inflows and simulated a free turbulent jet by using the Moving Particle Semi-implicit (MPS) model.…”
Section: Introductionmentioning
confidence: 99%
“…Later Lastiwka et al (2009) developed a WCSPH model for the imposition of permeable boundary conditions for the gas dynamics. Moreover, Shakibaeinia and Jin (2010) and Federico et al (2012) used different particle recycling techniques for more practical open channel hydraulics. Gotoh et al (2001) developed a novel soluble wall concept to generate the inflows and simulated a free turbulent jet by using the Moving Particle Semi-implicit (MPS) model.…”
Section: Introductionmentioning
confidence: 99%
“…The term κ ρλn * i 2d∆t 2 is however too small to have any practical effect. As the speed of sound is very large in relation to the actual maximum particle speed during the simulations, |u| max , it has been suggested to use c = 10|u| max [47,48]. This weak compressibility term may be further simplified either as a constant, hence n…”
Section: Additional Stabilisation As Local Weak Compressibilitymentioning
confidence: 99%
“…In the original form presented in [17], the viscous forces applied to the velocity field (irrotational field) are solved explicitly while the pressure (solenoidal field) is solved implicitly, hence giving rise to the name of the method. While this approach is generally preferred in the literature, the pressure can also be solved explicitly by using an equation of state [47,48], thus improving computational performance in certain classes of problems. In the present study a fully implicit approach is developed, which is favourable in cases of small spatial discretisations since the limiting stability criteria (viscous terms) on the time step is related to h −2 , where h is the spatial discretisation size.…”
Section: Introductionmentioning
confidence: 99%
“…128,129) The difference between the SPH and MPS method is the methodology of spatial discretization; superposition of the kernels is used in the SPH and differences between particles are used in the MPS method. Actually, various mixtures have been developed and are being used at this time; for example, the viscosity term in the SPH is usually discretized by the mixture of the derivative of the kernel and the difference between the particles.…”
Section: Speed-up Of Particle Simulationmentioning
confidence: 99%