# von Neumann stability analysis of smoothed particle hydrodynamics—suggestions for optimal algorithms

@article{Balsara1995vonNS, title={von Neumann stability analysis of smoothed particle hydrodynamics—suggestions for optimal algorithms}, author={Dinshaw S. Balsara}, journal={Journal of Computational Physics}, year={1995}, volume={121}, pages={357-372} }

## 419 Citations

Analysis of the artificial viscosity in the smoothed particle hydrodynamics modelling of regular waves

- Engineering
- 2014

ABSTRACT This paper considers the effect of artificial viscosity in smoothed particle hydrodynamics (SPH) computations of six different regular waves. The purpose is to improve the modelling of…

On the maximum time step in weakly compressible SPH

- MathematicsJ. Comput. Phys.
- 2014

Geometrically nonlinear analysis of two-dimensional structures using an improved smoothed particle hydrodynamics method

- Physics
- 2015

Purpose – The purpose of this paper is to present an efficient smoothed particle hydrodynamics (SPH) method particularly adapted for the geometrically nonlinear analysis of structures.…

Numerical simulation of two‐dimensional Kelvin–Helmholtz instability using weakly compressible smoothed particle hydrodynamics

- Mathematics
- 2015

The growth of the Kelvin–Helmholtz instability generated at the interface between two ideal gases is studied by means of a Smoothed Particle Hydrodynamics (SPH) scheme suitable for multi‐fluids. The…

Density Independent Smoothed Particle Hydrodynamics for Non-Ideal Equation of State

- Physics
- 2013

The smoothed particle hydrodynamics (SPH) method is a useful numerical tool for the study of a variety of astrophysical and planetlogical problems. However, it turned out that the standard SPH…

Smoothed Particle Hydrodynamics for Nonlinear Solid Mechanics

- Engineering
- 2009

Smooth Particle Hydrodynamics (SPH) is one of the simplest meshless methods currently in use. The method has seen significant development and has been the germination point for many other meshless…

A Formulation of Consistent Particle Hydrodynamics in Strong Form

- Computer Science
- 2017

This paper proposes a novel, high- order scheme for particle-based hydrodynamics of compress- ible fluid based on kernel-weighted high-order fitting polynomial for intensive variables, which can solve all of the three prob- lems described above.

Smoothed Particle Hydrodynamics: Applications Within DSTO

- Engineering
- 2006

Abstract : Smoothed Particle Hydrodynamics (SPH) is a computational technique for the numerical simulation of the equations of fluid dynamics without the use of an underlying numerical mesh. Although…

Hydrodynamic simulations with the Godunov smoothed particle hydrodynamics

- Mathematics
- 2011

We present results based on an implementation of the Godunov smoothed particle hydrodynamics (GSPH), originally developed by Inutsuka, in the gadget-3 hydrodynamic code. We first review the…

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Keywords: equations : differentielles ; stabilite ; transport ; transfert de chaleur ; mecanique des : fluides ; ondes Reference Record created on 2005-11-18, modified on 2016-08-08