Scale matters

Margolin, L. G.

doi:10.1098/rsta.2017.0235

Title: Scale matters

Journal Article · Mon Mar 19 00:00:00 EDT 2018 · Philosophical Transactions of the Royal Society. A, Mathematical, Physical and Engineering Sciences

DOI:https://doi.org/10.1098/rsta.2017.0235· OSTI ID:1440438

^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

The applicability of Navier–Stokes equations is limited to near-equilibrium flows in which the gradients of density, velocity and energy are small. Here I propose an extension of the Chapman–Enskog approximation in which the velocity probability distribution function (PDF) is averaged in the coordinate phase space as well as the velocity phase space. I derive a PDF that depends on the gradients and represents a first-order generalization of local thermodynamic equilibrium. I then integrate this PDF to derive a hydrodynamic model. Finally, I discuss the properties of that model and its relation to the discrete equations of computational fluid dynamics.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1440438

Report Number(s):: LA-UR-17-28788

Journal Information:: Philosophical Transactions of the Royal Society. A, Mathematical, Physical and Engineering Sciences, Vol. 376, Issue 2118; ISSN 1364-503X

Publisher:: The Royal Society PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 5 works

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