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Title: Conservative smoothing versus artificial viscosity

Technical Report ·
DOI:https://doi.org/10.2172/10187573· OSTI ID:10187573
;  [1];  [2]
  1. Michigan Technological Univ., Houghton, MI (United States)
  2. Sandia National Labs., Albuquerque, NM (United States). Solid and Structural Mechanics Dept.

This report was stimulated by some recent investigations of S.P.H. (Smoothed Particle Hydrodynamics method). Solid dynamics computations with S.P.H. show symptoms of instabilities which are not eliminated by artificial viscosities. Both analysis and experiment indicate that conservative smoothing eliminates the instabilities in S.P.H. computations which artificial viscosities cannot. Questions were raised as to whether conservative smoothing might smear solutions more than artificial viscosity. Conservative smoothing, properly used, can produce more accurate solutions than the von Neumann-Richtmyer-Landshoff artificial viscosity which has been the standard for many years. The authors illustrate this using the vNR scheme on a test problem with known exact solution involving a shock collision in an ideal gas. They show that the norms of the errors with conservative smoothing are significantly smaller than the norms of the errors with artificial viscosity.

Research Organization:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE, Washington, DC (United States)
DOE Contract Number:
AC04-94AL85000
OSTI ID:
10187573
Report Number(s):
SAND-94-1853; ON: DE95001108; BR: GB0103012; TRN: AHC29425%%92
Resource Relation:
Other Information: PBD: Aug 1994
Country of Publication:
United States
Language:
English