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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

Transient Analysis of Falling Cylinder in Non-Newtonian Fluids: Further Opportunity to Employ the Benefits of SPH Method in Fluid – Structure Problems

TL;DR: In this paper, a smoothed particle hydrodynamics (SPH) was applied to simulate the free falling of cylindrical bodies in three types of fluids including Newtonian, generalized-Newtonian and viscoelastic fluids.
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An effective and stabilised (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e910" altimg="si1.svg"><mml:mrow><mml:mi mathvariant="bold">u</mml:mi><mml:mo linebreak="goodbreak" linebreakstyle="after">−</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="bold-italic">p</m

TL;DR: In this paper , the authors proposed a computationally efficient three-point integration (TPI) scheme that removes the influence of water bulk modulus from the pore-water pressure equation, enabling larger time increments for the time integration and hence saving computational costs for field-scale applications.
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Characteristics of iceberg calving-generated waves based on three-dimensional SPH simulations

TL;DR: In this article , a 3D numerical model based on the Smoothed Particle Hydrodynamics (SPH) open source code DualSPHysics was established to simulate the generation and evolution processes of waves caused by icebergs calving into water.
Journal ArticleDOI

Modeling Coastal Freak Wave Occurrence

TL;DR: In this article , a smoothed particle hydrodynamics (SPH) model with a nonlinear and mesh-free numerical approach was adopted to accurately predict the deformation of free surfaces when waves violently strike coastal structures.
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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