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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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
Citations
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On the numerical simulation of the nonbreaking solitary waves run up on sloping beaches
TL;DR: The results ofmaximum run up show that for moderate and large wave heights, Lagrangian numerical results pursuit the maximum run up of the experimental data with acceptable accuracy.
Journal ArticleDOI
Is standard symmetric formulation always better for smoothed particle hydrodynamics
Jingsen Ma,Wei Ge +1 more
TL;DR: It is demonstrated that, for quasi-incompressible flows, the standard symmetric formulation of pressure gradient in smoothed particle hydrodynamics (SPH) is not necessarily superior to asymmetric ones.
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A shock-capturing scheme with a novel limiter for compressible flows solved by smoothed particle hydrodynamics
TL;DR: In this article, a shock-capturing scheme based on smoothed particle hydrodynamics (SPH) is proposed to investigate strongly compressible flows with strong discontinuities in nature and engineering applications.
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Two-dimensional coupled model of surface water flow and solute transport for basin fertigation
Journal ArticleDOI
Unique solvability and stability analysis for incompressible smoothed particle hydrodynamics method
TL;DR: In this paper, the unique solvability and stability properties of the ISPH method were analyzed for both implicit and semi-implicit schemes in two-dimensional and three-dimensional spaces.
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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