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Title: Alternative algorithms for computational fluid dynamics. Final report

Technical Report ·
DOI:https://doi.org/10.2172/105517· OSTI ID:105517

Fluid flow is conventionally modeled by finite difference or finite element approximations to the Navier-Stokes equations. The key problem in such calculations is devising an efficient computational mesh on which to solve the equations; if the geometry is complex, extensive human intervention is usually necessary. Thus these methods are unsuitable for problems such as the motion of solid particulates in suspension, where there may be many thousands of objects whose positions are constantly varying over the course of the simulation. Over the past few years I have developed an alternative strategy for modeling solid-fluid flows, based on a discrete Boltzmann model, in which the particle velocities are sampled from a small well-chosen set, commensurate with the underlying spatial lattice. This leads to a simple and fast numerical algorithm which can solve fluid flow problems with high accuracy on relatively crude spatial meshes. Thus it has been possible to track the motion of around 1000 hydrodynamically interacting particles on a desktop workstation. A preliminary account of some of this work was published in Physical Review Letters; a complete account of the method is given in two papers published by the Journal of Fluid Mechanics.

Research Organization:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE, Washington, DC (United States)
DOE Contract Number:
W-7405-ENG-48
OSTI ID:
105517
Report Number(s):
UCRL-ID-120467; ON: DE95012482
Resource Relation:
Other Information: PBD: 3 Mar 1995
Country of Publication:
United States
Language:
English