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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

Spectral properties of the SPH Laplacian operator

TL;DR: The effects of particle disorder and non-periodicity conditions are investigated and it is found that the matrix condition number is proportional to the square of the particle number per unit length, irrespective of the space dimension and kernel choice.
Journal ArticleDOI

A Smoothed Particle Hydrodynamics scheme for arbitrarily shaped rigid bodies within highly viscous fluids

TL;DR: The scheme presented in this paper can be used for simulations of a representative volume element in which the motion of rigid bodies can be studied in defined velocity gradients composed of elongation and/or shear conditions.
Journal ArticleDOI

Numerical modeling of density currents using an Incompressible Smoothed Particle Hydrodynamics method

TL;DR: In this paper, a numerical model to simulate density currents using an Incompressible Smoothed Particle Hydrodynamics method with accurate schemes associated with the pressure calculation is presented.

Modified incompressible SPH method for simulating free surface

TL;DR: In this article, an incompressible smoothed particle hydrodynamics (I-SPH) formulation is presented to simulate free surface 9 incompressibly fluid problems, where the governing equations are mass and momentum conservation that are solved in a Lagrangian form using a two-step fractional method.

Numerical simulation of free surface mudflow using incompressible sph

TL;DR: Ghaddampour@yahoo.com Dept. of Civil and Environmental Engineering, Environmental Research and Sustainable Development Center, Shiraz University, I. R. of Water Engineering, Shirazi University, A. H. NIKSERESHT and S. P. NEILL as mentioned in this paper
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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