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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

Corrected higher order Laplacian for enhancement of pressure calculation by projection-based particle methods with applications in ocean engineering

TL;DR: In this article, a corrected higher order Laplacian (CHL) scheme is proposed for enhancement of pressure calculation in projection-based particle methods, which is derived by meticulously taking divergence of a corrected SPH gradient model.
Journal ArticleDOI

SPH modeling of solitary wave fissions over uneven bottoms

TL;DR: In this paper, the propagation of solitary wave in shallow water is investigated by using the Smoothed Particle Hydrodynamics (SPH) method, which solves the weakly compressible Navier-Stokes equations and implements the wave absorbing scheme of Xu (2010) at downstream boundary, is verified by the case of incident solitary wave propagating on a constant depth.
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An improved parallel SPH approach to solve 3D transient generalized Newtonian free surface flows

TL;DR: Numerical results show that the C-SPH method has higher accuracy and better stability for solving 3D moving free surface flows over other particle methods.
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Double-diffusive natural convection in an enclosure including/excluding sloshing rod using a stabilized ISPH method

TL;DR: In this paper, double-diffusive natural convection in an enclosure is introduced by an incompressible smoothed particle hydrodynamics (ISPH) method, and the results demonstrate the effects of the parameters such as Darcy number, porosity, permeability ratio and inclination angle in both of the heat and mass transfer rate and the flow regime.
Journal ArticleDOI

SPH modelling of turbulent open channel flow over and within natural gravel beds with rough interfacial boundaries

TL;DR: In this article, a smoothed particle hydrodynamics (SPH) model is applied to simulate turbulent open channel flows over and within natural porous gravel beds, where the effect of turbulence is taken into account using a three-layer mixing-length model.
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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