Journal ArticleDOI
Comparisons of weakly compressible and truly incompressible algorithms for the SPH mesh free particle method
Reads0
Chats0
TLDR
Comparisons of a semi-implicit and truly incompressible SPH (ISPH) algorithm with the classical WCSPH method are presented, showing how some of the problems encountered inWCSPH have been resolved by using ISPH to simulate incompressable flows.About:
This article is published in Journal of Computational Physics.The article was published on 2008-09-30. It has received 538 citations till now. The article focuses on the topics: Finite volume method & Incompressible flow.read more
Citations
More filters
Journal ArticleDOI
Accuracy and stability in incompressible SPH (ISPH) based on the projection method and a new approach
TL;DR: A new divergence-free ISPH approach is proposed here which maintains accuracy and stability while remaining mesh free without increasing computational cost by slightly shifting particles away from streamlines, although the necessary interpolation of hydrodynamic characteristics means the formulation ceases to be strictly conservative.
Journal ArticleDOI
Incompressible smoothed particle hydrodynamics for free-surface flows: A generalised diffusion-based algorithm for stability and validations for impulsive flows and propagating waves
TL;DR: The algorithm is based upon Fick's law of diffusion and shifts particles in a manner that prevents highly anisotropic distributions and the onset of numerical instability, and is validated against analytical solutions for an internal flow at higher Reynolds numbers than previously.
Journal ArticleDOI
Enhancement of stability and accuracy of the moving particle semi-implicit method
Abbas Khayyer,Hitoshi Gotoh +1 more
TL;DR: It is shown that MPS-based simulations are prone to become destabilized in presence of attractive interparticle forces, similar to the so-called tensile instability in SPH method, and two new modifications are proposed to resolve this shortcoming.
Journal ArticleDOI
Smoothed particle hydrodynamics (SPH) for free-surface flows: past, present and future
TL;DR: In this paper, the authors assess the recent trends in the numerical meshless method smoothed particle hydrodynamics, with particular focus on its potential use in modelling free-surface flows.
Journal ArticleDOI
State-of-the-art of classical SPH for free-surface flows
TL;DR: In this article, the state-of-the-art of the classical smoothed particle hydrodynamics (SPH) formulation for free-surface flow problems is described in detail.
References
More filters
Journal ArticleDOI
Smoothed particle hydrodynamics: Theory and application to non-spherical stars
R. A. Gingold,Joseph J Monaghan +1 more
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
BI-CGSTAB: a fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear systems
TL;DR: Numerical experiments indicate that the new variant of Bi-CG, named Bi- CGSTAB, is often much more efficient than CG-S, so that in some cases rounding errors can even result in severe cancellation effects in the solution.
Journal ArticleDOI
Smoothed particle hydrodynamics
TL;DR: In this article, 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.
Related Papers (5)
Smoothed particle hydrodynamics: Theory and application to non-spherical stars
R. A. Gingold,Joseph J Monaghan +1 more