An overview of smoothed particle hydrodynamics for simulating multiphase flow
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Smoothed Particle Hydrodynamics
Multiphase flow
Particle (ecology)
Incompressible Flow
Three-Dimensional Smoothed Particle Hydrodynamics Simulation for Liquid Droplet with Surface Tension
We provide a basic method of Smoothed Particle Hydrodynamics (SPH) to simulate liquid droplet with surface tension in three dimensions. Liquid droplet is a simple case for surface tension modeling. Surface tension works only on fluid surface. In SPH method, we simply apply the surface tension on the boundary particles of liquid. The particle on the 3D boundary was detected dynamically using Free-Surface Detection algorithm. The normal vector and curvature of the boundary surface were calculated simultaneously with 3D boundary surface reconstruction using Moving Least-Squares (MLS) method. Before the reconstruction, the coordinate system was transformed into a local coordinate system. Afterwards, the surface tension force which depends on curvature of the surface, was calculated and applied on the boundary particles of the droplet. We present the simulation result of droplet motion with gravity force. By using the basic method of SPH for fluid modeling, and a combination of 3D Free-Surface Detection algorithm with MLS method, we can simulate droplet phenomena with expected result.
Smoothed Particle Hydrodynamics
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Fluid Simulation
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Abstract In this paper, an artificial compressibility scheme using the finite element method is introduced. 2002 Zienkiewicz Silver Medal and Prize winning paper. The multi‐purpose CBS scheme is implemented in its fully explicit form to solve incompressible fluid dynamics problems. It is important to note that the scheme developed here includes split and velocity correction. The proposed method takes advantage of good features from both velocity correction and standard artificial compressibility schemes. Unlike many other artificial compressibility schemes, the proposed one works on a variety of grids and gives results for a wide range of Reynold's numbers. The paper presents some bench mark two‐ and three‐dimensional steady and unsteady incompressible flow solutions obtained from the proposed scheme. Copyright © 2003 John Wiley & Sons, Ltd.
Incompressible Flow
Pressure-correction method
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Smoothed Particle Hydrodynamics
Multiphase flow
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Incompressible Flow
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Improved algorithm yields faster numerical solutions of Navier-Stokes equations of steady or unsteady three-dimensional flow of incompressible fluid. In artificial-compressibility method, unsteady flow treated as incompressible in advancing from one time step to next, but at each time step (or in steady state), fluid treated as having variable compressibility enabling propagation of flow field, and subiterations performed in increments of pseudotime until effects of compressibility subside. Directly couples pressure and velocity fields at same time step and converts elliptic incompressible Navier-Stokes equations to hyperbolic form more amenable to numerical integration.
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Pressure-correction method
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With meshfree and fully Lagrangian features of particle methods, smoothed particle hydrodynamics (SPH) is suitable to achieve high-accurate simulations of multiphase flows with large interfacial deformations, discontinuities, and multi-physics. In this review, the basic concept of SPH is first briefly introduced. Then, various implementations of SPH in regard to multiphase flow simulations are summarized and discussed. Some problems associated with SPH simulations of multiphase flows are suggested as requiring attention.
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Classification of discontinuities
Multiphase flow
Meshfree methods
Implementation
Particle (ecology)
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In this paper, we present an efficient approach based on Smoothed Particle Hydrodynamics (SPH) to simulate nearly incompressible fluids. The proposed method is an extension of the traditional SPH method designed for compressible fluids. We first introduce a new scheme for pressure evaluation to satisfy the incompressibility constraints. Then novel calculation methods for pressure force and viscosity force are discussed. Finally, the results demonstrate that our method is more capable of realistically simulating fluids with near-incompressibility than previous method.
Smoothed Particle Hydrodynamics
Fluid Simulation
Compressible flow
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An examination has been made to derive a correlation for an aeroacoustic environment associated with attached compressible flow conditions. It was determined that fluctuating pressure characteristics described by incompressible theory as well as empirical correlations could be modified to a compressible state through a transformation function. In this manner, compressible data were transformed to the incompressible plane where direct use of more tractable prediction techniques are available for engineering design analyses. The investigation centered on algorithms associated with pressure magnitude and power spectral density. The method and subsequent prediction techniques are shown to be in excellent agreement with both incompressible and compressible flow data.
Compressible flow
Incompressible Flow
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With meshfree and fully Lagrangian features of particle methods, smoothed particle hydrodynamics (SPH) is suitable to achieve high-accurate simulations of multiphase flows with large interfacial deformations, discontinuities, and multi-physics. Multiphase flow simulations with SPH methods have been reported abundantly and the specific implementations are much different. In this review, the basic SPH method and issues about fluid pressure, surface tension and solid boundary are discussed. And various implementations of SPH for multiphase flow simulation are mainly summarized as: (1) Lagrangian solver for the two-fluid model (TFM): The two phases are discreterized into two independent groups of SPH particles and coupled by the explicit interphase interaction; (2) multiphase SPH: The multiphase SPH method is considered as the natural extension of SPH method on multiphase flow simulation, and the interphase interaction is implicitly described by SPH parameters; (3) coupling of SPH and other discrete methods: The two phases with large differences each adopt different discrete methods to give play to the advantages of different Lagrangian methods; and (4) coupling of SPH and grid-based methods: The grid method handles the simple main-flow to obtain the balance between accuracy and efficiency. Also, some issues associated with SPH simulations of multiphase flows, such as the physicalization of simulation parameters and the improvement of accuracy and efficiency, are suggested as requiring attention.
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Solver
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The continuum surface force(CSF)model for surface tension,which is employed in the traditional smoothed particle hydrodynamics(SPH) method,is very low accurate when handling the problem with large deformation and surface tension.The reason is that the deficiency of particles near the boundary and sharp-angled areas,and it caused large error of curvature calculation in the traditional SPH method.In this paper modified equations for surface tension were derived by modifying normal and curvature with corrective smoothed particle method(CSPM).It was based on the SPH method with surface tension proposed by Morris.Formation of an oil drop under surface tension from initial square shape in water was simulated with the new method.Simultaneous, two-dimensional simulation of breaking up process of two colliding oil drops in water under surface tension was also simulated.
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Tension (geology)
Particle (ecology)
Capillary length
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Projection method
Incompressible Flow
Robustness
Compressible flow
Pressure-correction method
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