Journal ArticleDOI
Incompressible sph method for simulating newtonian and non-newtonian flows with a free surface
Songdong Shao,Edmond Y.M. Lo +1 more
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
Citations
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On the relevance of the dam break problem in the context of nonlinear shallow water equations
TL;DR: In this article, a comparison between two-fluid Navier-Stokes simulations and the nonlinear shallow water equation solvers is performed analytically and numerically and several conclusions are drawn out and perspectives for future research are outlined.
Journal ArticleDOI
An optimized source term formulation for incompressible SPH
TL;DR: In this article, the authors proposed a novel source term handling to improve the quality of the computed velocity field and accelerate the performance of the ISPH pressure computation in Compressible Incompressible SPH.
Journal ArticleDOI
High-order particle method for solving incompressible Navier–Stokes equations within a mixed Lagrangian–Eulerian framework
TL;DR: The proposed Mixed Lagrangian–Eulerian (MLE) method can be easily applied to simulate fluid flow problems ranging from low to high Reynolds number and is found that the numerical results compare well with the benchmark solutions.
Journal ArticleDOI
An ISPH with k–ε closure for simulating turbulence under solitary waves
TL;DR: In this article, an Incompressible Smoothed Particle Hydrodynamics (ISPH) method with the k-e turbulence closure is presented, which can be applied to transient free surface wave problems.
Simulating unsteady conduit flows with smoothed particle hydrodynamics
TL;DR: In this paper, a Lagrangian particle method was used to solve the Euler equations with application to water hammer, rapid pipe filling and emptying, and isolated slugs travelling in an empty pipeline.
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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Smoothed particle hydrodynamics: Theory and application to non-spherical stars
R. A. Gingold,Joseph J Monaghan +1 more