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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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Numerical re-creation of multi-directional waves in a circular basin using a particle based method

TL;DR: In this article, the short-crested wave fields in a circular wave basin were validated using a particle-based method to solve the full 3D Navier-Stokes equation.
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Improved Incompressible Material Point Method Based on Particle Density Correction

TL;DR: In this article, a new particle shifting scheme is proposed for particle density correction, where particles are shifted along their density gradient to guarantee that the density field of the fluid is constant and the momentum is conserved.
Journal ArticleDOI

A New Model for Describing the Rheological Behavior of Heavy and Extra Heavy Crude Oils in the Presence of Nanoparticles

TL;DR: In this paper, a mathematical model for describing the rheological behavior of heavy and extra heavy crude oils in the presence of nanoparticles is proposed, which is based on the combination of two existing mathematical models: the Herschel-Bulkley model and modified Pal and Rhodes model.
Journal ArticleDOI

Numerical simulation of cascaded dam-break flow in downstream reservoir

TL;DR: The evolution of dam-break floods in downstream and cascade reservoirs is an extremely complicated process based on the three-dimensional Navier-Stokes equation and smoothed particle hydrodynamics.
Journal Article

An Implicit boundary approach for viscous compressible high Reynolds flows using hybrid remeshed particle hydrodynamics method

TL;DR: An implicit boundary particle method with background mesh adaptation that uses a Brinkman penalisation to represent the boundary of the domain and a remeshed particle method to simulate viscous flow with high Reynolds numbers achieves an implicit approach for flow around complex boundaries/geometries simulation.
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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