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
Citations
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A targeted essentially non-oscillatory (TENO) SPH method and its applications in hydrodynamics
TL;DR: Wang et al. as mentioned in this paper proposed a targeted essentially nonoscillatory (TENO) SPH scheme, where a 5-point stencil consisting of 3 candidate sub-stencils is adopted to implement the TENO reconstruction as originally proposed in the mesh-based methods.
Journal ArticleDOI
Free surface tension in incompressible smoothed particle hydrodynamcis (ISPH)
TL;DR: In this paper, a Dirichlet pressure boundary condition for incompressible Smoothed Particle Hydrodynamics (SPH) is presented for free surfaces under surface tension.
Journal ArticleDOI
A weighted Shifted Boundary Method for free surface flow problems
TL;DR: This article extends the Shifted Boundary Method to the simulation of incompressible Navier-Stokes flows with moving free-surfaces, by appropriately weighting its variational form with the elemental volume fraction of active fluid.
Journal ArticleDOI
On modification of pressure gradient operator in integrated ISPH for multifluid and porous media flow with free-surface
Gourabananda Pahar,Anirban Dhar +1 more
TL;DR: In this article, the authors proposed an integrated Incompressible Smoothed Particle Hydrodynamics (ISPH) framework with an implicit free-surface treatment, which is capable of minimizing error in velocity-divergence due to implicit free surface treatment combined with linear momentum conservation.
Journal ArticleDOI
New modified gradient models for MPS method applied to free-surface flow simulations
TL;DR: In this paper, two modified pressure gradient models based on Taylor series expansion are proposed to enhance the higher order source term MPS (MPS-HS) method, which are shown to reduce unphysical pressure oscillations observed in the base models.
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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