Journal ArticleDOI
Incompressible sph method for simulating newtonian and non-newtonian flows with a free surface
Songdong Shao,Edmond Y.M. Lo +1 more
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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.About:
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.read more
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An incompressible multi-phase SPH method
Xiangyu Hu,Nikolaus A. Adams +1 more
TL;DR: To obtain sharp density and viscosity discontinuities in an incompressible multi- Phase SPH flow a new multi-phase projection formulation, in which the discretized gradient and divergence operators do not require a differentiable density or viscosities field is proposed.
Journal ArticleDOI
Enhancement of stability and accuracy of the moving particle semi-implicit method
Abbas Khayyer,Hitoshi Gotoh +1 more
TL;DR: It is shown that MPS-based simulations are prone to become destabilized in presence of attractive interparticle forces, similar to the so-called tensile instability in SPH method, and two new modifications are proposed to resolve this shortcoming.
Journal ArticleDOI
Modeling and simulation of pore-scale multiphase fluid flow and reactive transport in fractured and porous media
TL;DR: In this article, a combination of continuum computation fluid dynamics, fluid-fluid interface tracking or capturing and simple models for the dependence of contact angles on fluid velocity at the contact line has been used to simulate multiphase fluid flow in fracture apertures, fracture networks and pore spaces.
Journal ArticleDOI
State-of-the-art of classical SPH for free-surface flows
TL;DR: In this article, the state-of-the-art of the classical smoothed particle hydrodynamics (SPH) formulation for free-surface flow problems is described in detail.
Journal ArticleDOI
Numerical diffusive terms in weakly-compressible SPH schemes
TL;DR: Specific focus has been given to the theoretical analysis of the diffusive term structure, highlighting the main benefits and drawbacks of the most widespread formulations.
References
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Journal ArticleDOI
Volume of fluid (VOF) method for the dynamics of free boundaries
C.W Hirt,B. D. Nichols +1 more
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.
Journal ArticleDOI
Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface
Francis H. Harlow,J. Eddie Welch +1 more
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.
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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