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
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Smoothed particles as a non-Newtonian fluid: A case study in Couette flow
TL;DR: In this article, the rheological behavior in a two-dimensional Couette flow simulated using smoothed particle hydrodynamics (SPH) is studied, and it is found that shear thinning is significant, leading to a nonlinear relationship between apparent viscosity and shear rate, which can be well described by the Sisko model.
Journal ArticleDOI
Improving Accuracy of SPH Method Using Voronoi Diagram
TL;DR: In this paper, the mesh-less SPH formulation is modified based on Voronoi diagram to approximate region influence of computational nodal points to achieve higher accuracy for a 2-D elliptical partial differential equation with known analytical solution using both regular and irregular node distributions.
Journal ArticleDOI
Numerical study of wave interaction with a composite breakwater located on permeable bed
Hassan Akbari,Amir Taherkhani +1 more
TL;DR: In this paper, the response of a composite breakwater against wave load is numerically investigated using Smoothed Particle Hydrodynamic (SPH) model and a new scheme free of any tuning parameter is introduced to estimate the dynamic friction forces transitionally applied to the moving caisson.
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Updated Smoothed Particle Hydrodynamics for Simulating Bending and Compression Failure Progress of Ice
TL;DR: In this paper, an updated Smoothed Particle Hydrodynamics (SPH) method based on the Simplified Finite Difference Interpolation (SFDI) scheme is presented to simulate the failure process of ice.
Journal ArticleDOI
Mathematics of Smoothed Particle Hydrodynamics: A Study via Nonlocal Stokes Equations
TL;DR: A nonlocal relaxation to the conventional linear steady-state Stokes system for incompressible viscous flows is presented and it is shown that for a class of carefully chosen nonlocal operators, the resulting nonlocal Stokes equation is well-posed and recovers the original Stokes equations in the local limit when $$\delta $$ δ approaches zero.
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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