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Journal ArticleDOI

Incompressible sph method for simulating newtonian and non-newtonian flows with a free surface

Songdong Shao, +1 more
- 01 Jul 2003 - 
- Vol. 26, Iss: 7, pp 787-800
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TLDR
In this article, an incompressible smoothed particle hydrodynamics (SPH) method is presented to simulate Newtonian and non-Newtonian flows with free surfaces.
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This article is published in Advances in Water Resources.The article was published on 2003-07-01. It has received 923 citations till now. The article focuses on the topics: Pressure-correction method & Newtonian fluid.

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Numerical simulation of 3D-unsteady viscoelastic free surface flows by improved smoothed particle hydrodynamics method

TL;DR: In this article, a working smoothed particle hydrodynamics (SPH) method is introduced to solve 3D transient viscoelastic flows with complex free surfaces to facilitate the enforcement of 3D wall boundaries.
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Modeling of multi-phase flows and natural convection in a square cavity using an incompressible smoothed particle hydrodynamics

TL;DR: In this paper, the authors used an incompressible smoothed particle hydrodynamics (ISPH) technique to model multi-phase flows for Rayleigh-Taylor instability and natural convection in a square cavity.
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Fast multiple-fluid simulation using Helmholtz free energy

TL;DR: An energy-based Lagrangian method that expands the capability of existing multiple-fluid methods to handle various phenomena, such as extraction, partial dissolution, etc, and extends the original Cahn-Hilliard equation to be better able to simulate complex fluid-fluids interaction and rich visual phenomena.
Journal ArticleDOI

Viscosity reduction of extra heavy crude oil by magnetite nanoparticle-based ferrofluids:

TL;DR: In this article, the authors synthesize and evaluate magnetite (Fe3O4) nanoparticle-based ferrofluids for reducing the viscosity of an extra heavy crude oil.
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ISPH modeling of natural convection heat transfer with an analytical kernel renormalization factor

TL;DR: In this paper, the authors extended the attention of the incompressible smoothed particle hydrodynamics method (ISPH) in the heat transfer field by using the improved analytical method for calculating the kernel renormalization factor and its gradient based on a quintic kernel function for the wall boundary treatment.
References
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Journal ArticleDOI

Volume of fluid (VOF) method for the dynamics of free boundaries

TL;DR: In this paper, the concept of a fractional volume of fluid (VOF) has been used to approximate free boundaries in finite-difference numerical simulations, which is shown to be more flexible and efficient than other methods for treating complicated free boundary configurations.
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Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface

TL;DR: In this paper, a new technique is described for the numerical investigation of the time-dependent flow of an incompressible fluid, the boundary of which is partially confined and partially free The full Navier-Stokes equations are written in finite-difference form, and the solution is accomplished by finite-time step advancement.
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A numerical approach to the testing of the fission hypothesis.

L.B. Lucy
TL;DR: A finite-size particle scheme for the numerical solution of two-and three-dimensional gas dynamical problems of astronomical interest is described and tested in this article, which is then applied to the fission problem for optically thick protostars.
Journal ArticleDOI

Numerical solution of the Navier-Stokes equations

TL;DR: In this paper, a finite-difference method for solving the time-dependent Navier-Stokes equations for an incompressible fluid is introduced, which is equally applicable to problems in two and three space dimensions.
Journal ArticleDOI

Smoothed particle hydrodynamics.

TL;DR: In this paper, the theory and application of Smoothed particle hydrodynamics (SPH) since its inception in 1977 are discussed, focusing on the strengths and weaknesses, the analogy with particle dynamics and the numerous areas where SPH has been successfully applied.
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