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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A fully Lagrangian mixed discrete least squares meshfree method for simulating the free surface flow problems
TL;DR: In this article, a fully Lagrangian mixed discrete least squares mesh-free (MDLSM) method is proposed for simulating the free surface problems, where the mass and momentum conservation equations are first discretized in time using the projection method, and the resulting pressure Poisson equation is then re-written in the form of three first-order equations in terms of the pressure field and its firstorder derivatives.
Journal ArticleDOI
SPH Numerical Modeling for the Wave–Thin Structure Interaction
TL;DR: In this paper, a color domain particle (CDP) technique is proposed to overcome difficulties of applying the ghost particle method to thin structures in dealing with solid boundaries, which can deal with zero-thickness structures.
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Quadric SFDI for Laplacian Discretisation in Lagrangian Meshless Methods
TL;DR: In this article, a quadric semi-analytical finite-difference interpolation (QSFDI) scheme is proposed to estimate the Laplacian of a function.
Journal ArticleDOI
An immersed finite element material point (IFEMP) method for free surface fluid–structure interaction problems
TL;DR: In this article , an improved incompressible material point method (iMPM) was proposed to solve free surface fluid-structure interaction (FSI) problems, where the fluid domain is discretized by an improved iMPM using both Eulerian and Lagrangian descriptions, while the solid domain is solved by finite element method (FEM).
Journal ArticleDOI
Incompressible SPH Based on Rankine Source Solution for Water Wave Impact Simulation
TL;DR: In this paper, a new formulation of ISPH is proposed, which does not include any derivatives of unknown functions and overcomes the problems associated with direct numerical approximation to second derivatives in existing ISPH formulation, and some important numerical handling techniques are also included, like free surface particle identification method and solid boundary discrete scheme.
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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