Least squares moving particle semi-implicit method

Tamai, Terutaka; Koshizuka, Seiichi

doi:10.1007/s40571-014-0027-2

Cited by 129 publications

(67 citation statements)

References 98 publications

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“…To address these pressure oscillations and instabilities in future work, we should refer to current and past methods, such as the least-squares MPS method to reduce serious instabilities including unphysical pressure oscillation 20) . We also could refer to an updated MPS method to reduce the tensile-stress-induced instability 21) , an improved SPH method based on normalization and monitoring of strong conversion states 22) , and an improved SPH method with better moving least-squares interpolants 23) .…”

Section: Discussionmentioning

confidence: 99%

Simulation of Driftwood-induced Flooding during High-intensity Rainfall using Smoothed Particle Hydrodynamics Method

2014

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Worldwide climate change has resulted in severe flooding in Japan in the last decade. Some floods were likely caused by the substantial accumulation of driftwood or debris at bridges crossing rivers in mountainous areas. In this study, for a two-dimensional open channel, we conducted a laboratory experiment and numerical simulation with and without driftwood modeling to clarify the physical mechanism of a flood event resulting from driftwood accumulation at a bridge. Open-source software SPHysics, implementing a smoothed particle hydrodynamics method, was calibrated with data of the water level measured near a miniature bridge in the laboratory experiment. The simulation clearly showed that the particle-like flow was scattered by the bridge girder and dammed up by the bridge in the upstream direction. By changing the quantity of driftwood, we analyzed the effect of a flood on a bridge. For the largest quantity of driftwood, the higher pressure pushing against the bridge may damage the bridge.

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Section: Discussionmentioning

confidence: 99%

Simulation of Driftwood-induced Flooding during High-intensity Rainfall using Smoothed Particle Hydrodynamics Method

2014

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“…One can find other choices for determining the weighting factor [15][16][17][18]. Though W jl is determined by a radial basis function, it is treated just as a "factor" in the process of seeking the partial derivatives of φ.…”

Section: Methods For Solving the Governing Equationmentioning

confidence: 99%

Simulation of Propagation and Run-Up of Three Dimensional Landslide-Induced Waves Using a Meshless Method

Hsiao

Shih

2018

Water

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Abstract:In this study, a meshless numerical model for the simulation of tsunamis generated by submerged landslides was developed. The phenomena were treated as free surface potential flows governed by the Laplace equation. By using a predictor-corrector time marching approach, the time dependent problem was transformed to a series of boundary value problems (BVP) while at each time step the BVP was solved by a meshless method which employed local polynomial collocation accompanying the weight-least-squares (WLS) approach. The model was validated by comparing the results with experimental data and other numerical results. Then, simulations were carried out in a widened numerical wave flume for the observation of edge waves along the shore.

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“…(20c), in that a term associated with the first derivative is involved in M,like in Fatehi and Manzari (2011). Apart from these, Tamai and Koshizuka (2014) proposed a scheme based on a least square method, but Tamai et al (2016) pointed out that this scheme needed inversion of a larger size matrix (an order of 5 for 2D cases and 9 for 3D cases) and also a larger support domain (or smoothing length) to keep the matrix invertible. More discussions can be found in the cited papers.…”

Section: Lp-mps02mentioning

confidence: 99%

A review on approaches to solving Poisson’s equation in projection-based meshless methods for modelling strongly nonlinear water waves

Zhou

Yan

2016

J. Ocean Eng. Mar. Energy

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Three meshless methods, including incompressible smooth particle hydrodynamic (ISPH), moving particle semi-implicit (MPS) and meshless local Petrov-Galerkin method based on Rankine source solution (MLPG_R) methods, are often employed to model nonlinear or violent water waves and their interaction with marine structures. They are all based on the projection procedure, in which solving Poisson's equation about pressure at each time step is a major task. There are three different approaches to solving Poisson's equation, i.e. (1) discretizing Laplacian directly by approximating the second-order derivatives, (2) transferring Poisson's equation into a weak form containing only gradient of pressure and (3) transferring Poisson's equation into a weak form that does not contain any derivatives of functions to be solved. The first approach is often adopted in ISPH and MPS, while the third one is implemented by the MLPG_R method. This paper attempts to review the most popular, though not all, approaches available in literature for solving the equation.

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Least squares moving particle semi-implicit method

Cited by 129 publications

References 98 publications

Simulation of Driftwood-induced Flooding during High-intensity Rainfall using Smoothed Particle Hydrodynamics Method

Simulation of Driftwood-induced Flooding during High-intensity Rainfall using Smoothed Particle Hydrodynamics Method

Simulation of Propagation and Run-Up of Three Dimensional Landslide-Induced Waves Using a Meshless Method

A review on approaches to solving Poisson’s equation in projection-based meshless methods for modelling strongly nonlinear water waves

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