A Stabilized Incompressible SPH Method by Relaxing the Density Invariance Condition

Asai, Mitsuteru; Aly, Abdelraheem M.; Sonoda, Yoshimi; Sakai, Yuzuru

doi:10.1155/2012/139583

Cited by 165 publications

(105 citation statements)

References 34 publications

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“…For this purpose, the different source term in the pressure Poisson equation can be derived using the 'particle' density. In stabilized ISPH method [4], the pressure Poisson Equation (15) …”

Section: Isph Methodsmentioning

confidence: 99%

A Coupling Simulation Between Soil Scour and Seepage Flow by Using a Stabilized ISPH Method

Nogami

Asai

Kasama

et al. 2016

MATEC Web of Conferences

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Abstract. In 2011, the example that breakwaters collapsed because of the basic ground's destabilization was reported by Tohoku-Kanto earthquake tsunami. Fluid-Structure-Soil coupling simulation is desired for a systematic comprehension of the breakwater collapse mechanism, and it may help to develop next disaster prevention method. In this study, A particle simulation tool based on the SPH has been modified and improved to analyze seepage flow and soil scouring. In seepage flow analysis, as a first step, this simulation treat the surface flow and seepage flow interactions by using governing equation. In the scouring analysis, soil scour is judged by an empirical criteria based on quicksand quantity formula.

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Section: Isph Methodsmentioning

confidence: 99%

A Coupling Simulation Between Soil Scour and Seepage Flow by Using a Stabilized ISPH Method

Nogami

Asai

Kasama

et al. 2016

MATEC Web of Conferences

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“…The density may also be specified as the physical density (e.g. Asai et al 2012;Lind et al 2012;Leroy et al 2014) and thus should be the same at all particles, i.e. ρ i = ρ j .…”

Section: Lp-sph01mentioning

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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“…In this paper, the basic of stabilized ISPH which introduced by Asai [3] was adopted. The following sections will be described the governing equations used and the concept of Smoothed Particle Hydrodynamics (SPH) with the modification for incompressible flow.…”

Section: A Stabilized Incompressible Smoothed Particle Hydrodynamics mentioning

confidence: 99%

“…Then, the SPH method was extended to incompressible viscous flow. Nowadays, a stabilized Incompressible Smoothed Particle Hydrodynamic (ISPH) approach is one of the particle methods and commonly used to solve some of complicated physical problems including free surface flow problems [3]. In addition, boundary treatment of the particle method is one of the important issues for accurate solutions.…”

Section: Introductionmentioning

confidence: 99%

The Modification of Boundary Treatment in the Incompressible SPH for Pressure Calculation Accuracy on the Solid Boundary

Idris

Asai

Sonoda

2016

MATEC Web of Conferences

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Abstract. The Incompressible Smoothed Particle Hydrodynamic (ISPH) is one of the particle methods and commonly used to solve some complicated physical problems including free surface flow problems. The study regarding the boundary treatment has become an active research area in the mesh-free or particle method recently for measuring the accurate and robust pressure near the boundary. The penetrations of fluid particles may be happened if the adequate pressure boundary condition on the solid boundary cannot be satisfied. In this paper, a simple boundary treatment, which can be satisfied the non-homogenous Neumann boundary condition on the solid boundary and Dirichlet condition on the water surface, is proposed. The key point of our proposed treatment is that these boundary conditions are automatically satisfied by solving a modified pressure Poisson equation. Lastly, the effectiveness and accuracy of boundary treatment proposed are then authenticated with couples of numerical analysis and compared with the experimental tests.

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A Stabilized Incompressible SPH Method by Relaxing the Density Invariance Condition

Cited by 165 publications

References 34 publications

A Coupling Simulation Between Soil Scour and Seepage Flow by Using a Stabilized ISPH Method

A Coupling Simulation Between Soil Scour and Seepage Flow by Using a Stabilized ISPH Method

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

The Modification of Boundary Treatment in the Incompressible SPH for Pressure Calculation Accuracy on the Solid Boundary

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