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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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Citations
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Investigations of boundary treatments in incompressible smoothed particle hydrodynamics for fluid-structural interactions

TL;DR: In this paper, two boundary treatment methods were developed for incompressible flow simulations and fluid-structural interaction problems using Smoothed Particle Hydrodynamics (SPH): 1) to apply repulsive force on the boundary particles while keeping the same particle spacing for inner fluid particles and wall boundary particles; 2) to use denser wall particles without any additional force.

Fundamental study of fluid-soil-seepage flow coupled analysis by a particle method based on the mixed flow theory

TL;DR: In this paper, a particle simulation tool based on the SPH has been developed to solve the different soil damage mechanisms; soil sour and seepage flow problem, and these simulations should treat the Fluid-Soil and Fluid Seepage Flow interactions, and the particle simulator tool has been modified and improved to solve each interaction problem.
Journal ArticleDOI

Long term sedimentation of an elliptic disc subject to an electrostatic field using smoothed particle hydrodynamics method

TL;DR: In this article, a two dimensional incompressible smoothed particle hydrodynamics scheme for long term sedimentation of rising or falling particulates (bubbles, drops or rigid particles) in Newtonian fluids is presented and validated by simulating the sedimentation on a single elliptic disc.
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Analysis of Solutions andAsymptotic and Exact Profiles of an Eyring–Powell Fluid Model

TL;DR: In this paper , an analytical and numerical approach to the one-dimensional Eyring-Powell flow is presented, where the analytical solution is supported by the geometric perturbation theory.
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.
Journal ArticleDOI

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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