The reality of artificial viscosity
Abstract
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.
 Authors:

 Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
 Publication Date:
 Research Org.:
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Sponsoring Org.:
 USDOE National Nuclear Security Administration (NNSA), Office of Defense Programs (DP) (NA10)
 OSTI Identifier:
 1440435
 Report Number(s):
 LAUR1724540
Journal ID: ISSN 09381287
 Grant/Contract Number:
 AC5206NA25396
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Shock Waves
 Additional Journal Information:
 Journal Volume: 29; Journal Issue: 1; Journal ID: ISSN 09381287
 Publisher:
 Springer
 Country of Publication:
 United States
 Language:
 English
 Subject:
 97 MATHEMATICS AND COMPUTING; 42 ENGINEERING; Artificial viscosity; Computational fluid dynamics; Finite scale
Citation Formats
Margolin, L. G. The reality of artificial viscosity. United States: N. p., 2018.
Web. doi:10.1007/s0019301808108.
Margolin, L. G. The reality of artificial viscosity. United States. doi:10.1007/s0019301808108.
Margolin, L. G. Sat .
"The reality of artificial viscosity". United States. doi:10.1007/s0019301808108. https://www.osti.gov/servlets/purl/1440435.
@article{osti_1440435,
title = {The reality of artificial viscosity},
author = {Margolin, L. G.},
abstractNote = {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.},
doi = {10.1007/s0019301808108},
journal = {Shock Waves},
number = 1,
volume = 29,
place = {United States},
year = {2018},
month = {2}
}
Web of Science
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Works referencing / citing this record:
A Relaxation Filtering Approach for TwoDimensional Rayleigh–Taylor InstabilityInduced Flows
journal, April 2019
 Rahman, Sk. Mashfiqur; San, Omer
 Fluids, Vol. 4, Issue 2
A Relaxation Filtering Approach for TwoDimensional Rayleigh–Taylor InstabilityInduced Flows
journal, April 2019
 Rahman, Sk. Mashfiqur; San, Omer
 Fluids, Vol. 4, Issue 2