Discrete fluids using lattice gas methods

  • Avner Friedman
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 100)


Computing the fluid motion of air flowing over the vehicle, or circulating inside the engine compartment is a difficult task. The flow domain must first be subdivided into a system of grids, whose construction is extremely laborious and time consuming. Conventional computational fluid dynamics (CFD) methods then solve a nonlinear set of partial differential equations on this grid known as the Navier-Stokes equations, which are plagued by numerical instabilities arising from round-off errors and equation properties. Various sophisticated numerical techniques are employed in an attempt to achieve a stable solution that reasonably matches experiments, but very often success or failure depends on the skill of highly trained CFD practitioners and the complexity of the physical problem.


Computational Fluid Dynamic Digital Physic Float Point Operation Hypercubic Lattice Collision Rule 
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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Avner Friedman
    • 1
  1. 1.Institute for Mathematics and its ApplicationsUniversity of MinnesotaMinneapolisUSA

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