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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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Journal ArticleDOI

Improved SPH methods for simulating free surface flows of viscous fluids

TL;DR: In this article, two enhanced variants of the smoothed particle hydrodynamics (SPH) method for the numerical simulation of free surface flows of viscous fluids are presented by deriving a new set of general discrete SPH-like equations under an energy-based framework and applying a corrected (high order) or coupled particle approximation scheme for function derivatives.
Journal ArticleDOI

A fully explicit three‐step SPH algorithm for simulation of non‐Newtonian fluid flow

TL;DR: In this article, a smoothed particle hydrodynamics (SPH) method is presented to solve non-Newtonian fluid flow problems, where the governing equations are momentum equations along with the continuity equation which are described in a Lagrangian framework.
Journal ArticleDOI

Smoothed particle hydrodynamics and its applications in fluid-structure interactions

TL;DR: A review of the recent developments of smoothed particle hydrodynamics (SPH) method and its typical applications in fluid-structure interactions in ocean engineering can be found in this article.
Journal ArticleDOI

Incompressible SPH flow model for wave interactions with porous media

TL;DR: In this article, an Incompressible Smoothed Particle Hydrodynamics (ISPH) method is presented to simulate wave interactions with a porous medium, which is capable of tracking the large deformation of free surfaces in an easy and accurate manner.
Journal ArticleDOI

Neighbour lists in smoothed particle hydrodynamics

TL;DR: In the present work, the available searching algorithms for SPH codes are analyzed, different gridding algorithms are evaluated, the gains in efficiency obtained from reordering of particles is investigated and the cell-linked list and Verlet list methods are studied to create the neighbour list.
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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