Two-dimensional PDF/SPH simulations of compressible turbulent flows
type: Item
instance of: scholarly article
title: Two-dimensional PDF/SPH simulations of compressible turbulent flows
zbMATH Open document ID: 0908.76077
author: Walter C. Welton
published in: Journal of Computational Physics
publication date: 1999-03-18T00:00:00Z
review text: We describe recent progress made in the development and implementation of a two-dimensional Monte Carlo/PDF/SPH particle method. The approach, which is applicable to compressible turbulent flows, incorporates elements of smoothed particle hydrodynamics to extract mean quantities form the particles, including the mean pressure gradient. A new and efficient algorithm based on Fourier-series expansions of the SPH kernel is used to compute these means; for a simulation with \(N\) particles the computational work scales purely as \({\mathcal O}(N)\). A thorough study of numerical errors introduced by the finite series expansion is also performed, and results are presented which show that these errors scale as expected and can be made negligibly small using modest computing requirements.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76F10
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 65C05
zbMATH DE Number: 1160732
zbMATH Keywords: error bounds
zbMATH Keywords: plane wake
zbMATH Keywords: compression/expansion waves
zbMATH Keywords: pair of decaying vortices
zbMATH Keywords: mean quantities
zbMATH Keywords: Fourier-series expansions
describes a project that uses: TREESPH
MaRDI profile type: Publication
full work available at URL: jcph.1997.5878
OpenAlex ID: W1978667015
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DOI: 10.1006/JCPH.1997.5878
description: scientific article; zbMATH DE number 1160732