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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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An implicit boundary approach for viscous compressible high Reynolds flows using a hybrid remeshed particle hydrodynamics method

TL;DR: In this article, an implicit boundary particle method with background mesh adaptation is proposed to simulate viscous flow with high Reynolds numbers, where the boundary conditions are enforced to a specific precision with no need to modify the numerical method or change the grid, achieving an implicit approach for flow around complex boundaries/geometries simulation.
Journal ArticleDOI

Effect of Porous Media on Hydraulic Jump Characteristics by Using Smooth Particle Hydrodynamics Method

TL;DR: In this article, a smoothed particle hydrodynamics (SPH) model was applied to investigate the characteristics of hydraulic jumps interacting with porous media, and the results showed that the average error between numerical and experimental data was less than 7.2%.
Journal ArticleDOI

Analysis of the incompressibility constraint in the Smoothed Particle Hydrodynamics method

TL;DR: In this article, a thorough comparison of three different incompressibility treatments in SPH: weakly compressible approach, where a suitably chosen equation of state is used; and two truly incompressible methods, where the velocity field projection onto a divergence-free space is performed.
Journal ArticleDOI

Verification and application of 2-D DDA-SPH method in solving fluid–structure interaction problems

TL;DR: In this article, a coupled method is introduced to simulate FSI problems in two-dimensional (2D) case, where the smoothed particle hydrodynamics (SPH) is employed to represent the fluid domain governed by Navier-Stokes equations and the discontinuous deformation analysis (DDA) based on the minimum total potential energy principle is used to model the real solid structure (with rigidity or elasticity).
Journal ArticleDOI

Numerical Simulations of Dam-break Floods with MPM☆

TL;DR: In this paper, Dam-break flows with different initial aspect ratios are simulated in both the material point method and an extensively verified shallow water equations model, and the results are in good agreement with other validated numerical methods and experimental data.
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.
Journal ArticleDOI

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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