Current Achievements and Future Perspectives on Particle Simulation Technologies for Fluid Dynamics and Heat Transfer

Koshizuka, Seiichi

doi:10.3327/jnst.48.155

J. Nucl. Sci. Technol.

2011

DOI: 10.3327/jnst.48.155

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Current Achievements and Future Perspectives on Particle Simulation Technologies for Fluid Dynamics and Heat Transfer

Seiichi Koshizuka

Abstract: The Moving Particle Semi-implicit (MPS) method is one of the particle methods in which continuum mechanics is analyzed using the concept of particles. Since meshes are not used, large deformation of free surfaces and material interfaces can be simulated without the problems of mesh distortion. Thus, the MPS method has been applied to multiphase flow analysis in nuclear engineering. The advantages of the particle methods are also useful for applications in other engineering fields: ship engineering, civil engin… Show more

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Cited by 2 publications

References 93 publications

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Explicit calculation for the pressure Poisson equation to simulate incompressible fluid flows in a mesh‐free method

2021

Numerical Methods in Fluids

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In this study, an equation is derived to explicitly solve the pressure Poisson equation (PPE) in the moving particle semiimplicit method. In the derivation, the PPE is discretized by an improved Laplacian model and the incompressible condition is satisfied by establishing a direct relationship between pressure and the known flow information. An improved gradient model is adopted in the method while a repulsive force is used to handle particle clustering. To validate the method, a hydrostatic problem, the impact of two rectangular fluid patches and dam-breaking flows are simulated. The numerical results are compared with analytical solutions and experimental measurements in terms of free surface, pressure, and velocity. Good agreements in the comparisons are achieved, showing that the method can calculate smooth pressure field and accurate pressure and velocity distributions. K E Y W O R D Sdam-break flow, explicit method, free surface, mesh-free method, pressure field INTRODUCTIONThe mesh-free method is advantageous in handling interface flows, 1,2 such as free surface flows and two-phase flows.To simulate incompressible fluid flows, one significant branch for the mesh-free method is to solve the pressure Poisson equation (PPE) as the projection-based particle method. There are several types of this method with wide application in simulating free-surface flows referred as the moving particle semiimplicit method (MPS) 3-6 and the incompressible smoothed particle hydrodynamics (ISPH). [7][8][9] The MPS method was initially introduced to model complex thermal-hydraulic problems by using particles. The method includes the particle interaction models representing pressure gradient, diffusion, incompressibility, and a free surface boundary condition, in which the particle interaction is localized by using a kernel function. In the method, an implicit pressure calculation procedure is used to model the incompressible fluid flows. 10 Koshizuka et al. 3 used the MPS method to simulate two types of breaking waves on slopes as the plunging and spilling breakers. They obtained the critical value to separate the two breaker types and calculated the repeated process for a float of moving offshore and inshore. Koshizuka 5 reviewed the numerical developments of the MPS method in the calculation of the thermal-hydraulic problems in terms of fluid dynamics and heat transfer. Gotoh 11 presented a pioneering work of the large eddy simulation-based turbulence modeling in the context of particle methods by developing the so-called subparticle scale turbulence model. The model has been applied to both MPS and smoothed particle hydrodynamics (SPH) to capture the turbulence. 12,13 The MPS method is also modified by many researchers to enhance its performance in different research areas. Khayyer and Gotoh 14 proposed a corrected MPS method to track water surface in breaking waves, in which the pressure 3034

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Explicit calculation for the pressure Poisson equation to simulate incompressible fluid flows in a mesh‐free method

2021

Numerical Methods in Fluids

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Grid‐Free Modelling Based on the Finite Particle Method for Incompressible Viscous Flow Problems

Chang

et al. 2019

Shock and Vibration

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In this paper, we present a grid-free modelling based on the finite particle method for the numerical simulation of incompressible viscous flows. Numerical methods of interest are meshless Lagrangian finite point scheme by the application of the projection method for the incompressibility of the Navier–Stokes flow equations. The moving least squares method is introduced for approximating spatial derivatives in a meshless context. The pressure Poisson equation with Neumann boundary condition is solved by the finite particle method in which the fluid domain is discretized by a finite number of particles. Also, a continuous particle management has to be done to prevent particles from moving into configurations problematic for a numerical approximation. With the proposed finite particle technique, problems associated with the viscous free surface flow which contains the study on the liquid sloshing in tanks with low volumetric fluid type, solitary waves movement, and interaction with a vertical wall in numerical flume as well as the vortex patterns of the ship rolling damping are circumvented. These numerical models are investigated to validate the presented grid-free methodology. The results have revealed the efficiency and stability of the finite particle method which could be well handled with the incompressible viscous flow problems.

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Current Achievements and Future Perspectives on Particle Simulation Technologies for Fluid Dynamics and Heat Transfer

Cited by 2 publications

References 93 publications

Explicit calculation for the pressure Poisson equation to simulate incompressible fluid flows in a mesh‐free method

Explicit calculation for the pressure Poisson equation to simulate incompressible fluid flows in a mesh‐free method

Grid‐Free Modelling Based on the Finite Particle Method for Incompressible Viscous Flow Problems

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