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Microscopic Simulations of Complex Hydrodynamic Phenomena pp 1–12Cite as

From Fluid Particles to Physical Particles: Computing Hydrodynamics

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Part of the book series: NATO ASI Series ((NSSB,volume 292))

Abstract

The Navier-Stokes equations of hydrodynamics are partial differential equations which result from the conservation properties in simple monoatomic or molecular fluids, when combined with linear constitutive relations. When appropriate boundary conditions are applied and initial values of the variables are specified, they predict the space- and time- dependant hydrodynamic fields, that is, the values of mass density ρ, fluid velocity u, and energy density e in the fluid. The Navier-Stokes equations were written more than a century ago, and there seems to be now overall agreement that they contain sufficient physics to describe, for instance, the very complex and chaotic flows occurring in fully developed turbulence. There is little doubt that, if one were able to solve them, one could, to a very high degree of accuracy, reproduce or predict most of the flow problems that occur in physics, chemistry, and engineering applications.

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Author information

Authors and Affiliations

  1. Université Libre de Bruxelles, B1050, Brussels, Belgium

    M. Mareschal

  2. Los Alamos National Laboratory, Los Alamos, NM, 87545, USA

    B. L. Holian

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  1. M. Mareschal
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  2. B. L. Holian
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Editor information

Editors and Affiliations

  1. Free University of Brussels, Brussels, Belgium

    Michel Mareschal

  2. Los Alamos National Laboratory, Los Alamos, New Mexico, USA

    Brad Lee Holian

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Mareschal, M., Holian, B.L. (1992). From Fluid Particles to Physical Particles: Computing Hydrodynamics. In: Mareschal, M., Holian, B.L. (eds) Microscopic Simulations of Complex Hydrodynamic Phenomena. NATO ASI Series, vol 292. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-2314-1_1

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  • DOI: https://doi.org/10.1007/978-1-4899-2314-1_1

  • Publisher Name: Springer, Boston, MA

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