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Title: The reality of artificial viscosity

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:
ORCiD logo [1]
  1. Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Publication Date:
Report Number(s):
LA-UR-17-24540
Journal ID: ISSN 0938-1287
Grant/Contract Number:
AC52-06NA25396
Type:
Accepted Manuscript
Journal Name:
Shock Waves
Additional Journal Information:
Journal Name: Shock Waves; Journal ID: ISSN 0938-1287
Publisher:
Springer
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) (NA-10)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; 42 ENGINEERING; Artificial viscosity; Computational fluid dynamics; Finite scale
OSTI Identifier:
1440435

Margolin, L. G.. The reality of artificial viscosity. United States: N. p., Web. doi:10.1007/s00193-018-0810-8.
Margolin, L. G.. The reality of artificial viscosity. United States. doi:10.1007/s00193-018-0810-8.
Margolin, L. G.. 2018. "The reality of artificial viscosity". United States. doi:10.1007/s00193-018-0810-8.
@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/s00193-018-0810-8},
journal = {Shock Waves},
number = ,
volume = ,
place = {United States},
year = {2018},
month = {2}
}