The reality of artificial viscosity

Margolin, L. G.

doi:10.1007/s00193-018-0810-8

The reality of artificial viscosity

Journal Article · Fri Feb 23 23:00:00 EST 2018 · Shock Waves

DOI:https://doi.org/10.1007/s00193-018-0810-8· OSTI ID:1440435

^[1]

Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Artificial viscosity is used in the computer simulation of high Reynolds number flows and is one of the oldest numerical artifices. In this work, I will describe the origin and the interpretation of artificial viscosity as a physical phenomenon. The basis of this interpretation is the finite scale theory, which describes the evolution of integral averages of the fluid solution over finite (length) scales. I will outline the derivation of finite scale Navier–Stokes equations and highlight the particular properties of the equations that depend on the finite scales. Those properties include enslavement, inviscid dissipation, and a law concerning the partition of total flux of conserved quantities into advective and diffusive components.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA), Office of Defense Programs (DP) (NA-10)

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1440435

Report Number(s):: LA-UR--17-24540

Journal Information:: Shock Waves, Journal Name: Shock Waves Journal Issue: 1 Vol. 29; ISSN 0938-1287

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

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97 MATHEMATICS AND COMPUTING
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