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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Numerical solutions for problems with complex physics in complex geometry
TL;DR: In this dissertation, two high order accurate numerical methods, Spectral Element Method (SEM) and Discontinuous Galerkin method (DG), are discussed and investigated and their highorder accurate numerical solutions obtained by using either SEM or DG are presented.
Second derivatives, particle collisions and travelling liquid slugs within smoothed particle hydrodynamics
TL;DR: A submitted manuscript is the author's version of the article upon submission and before peer-review as mentioned in this paper, and the final published version features the final layout of the paper including the volume, issue and page numbers.
Journal ArticleDOI
Modelling study of hydrodynamics in a macro tidal estuary
TL;DR: In this article, a depth-averaged two-dimensional numerical model was developed to investigate hydrodynamics in estuaries and the Qiantang estuary was taken as a demonstrative case study.
Journal ArticleDOI
Simulation of Gravity Wave Propagation in Free Surface Flows by an Incompressible SPH Algorithm
TL;DR: In this article, an incompresible smoothed particle hydrodynamics (SPH) model is presented to simulate wave propagation in a free surface flow, where the Navier-Stokes equations are solved in a Lagrangian framework using a three-step fractional method.
Journal ArticleDOI
Numerical Simulation of the Water Surface Movement with Macroscopic Particles of Dam Break Flow for Various Obstacles
TL;DR: In this paper, the movement of the water surface with macroscopic particles during a dam break flow using the volume of fluid (VOF) methods and the DPM and MPM models were numerically simulated.
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