Use of artificial viscosity in multidimensional fluid dynamic calculations

Journal Article · Tue Jul 15 04:00:00 EDT 1980 · J. Comput. Phys.; (United States)

DOI:https://doi.org/10.1016/0021-9991(80)90161-8· OSTI ID:5755620

Wilkins, M L

The von Neumann-Richtmyer concept of artificial viscosity that is used in calculating the propagation of shocks was formulated in one space-dimension. A generalization of the method for two and for three space-dimensions is presented here. The basic objectives were to find the one-dimensional equivalent of shock compression that avoided geometric convergence effects and to determine a characteristic grid length. A description is given of a linear viscosity for damping the spurious oscillations that arise when the quadratic von Neumann-Richtmyer artificial viscosity is used. The linear viscosity minimizes the smearing of the shock front. Unwanted distortions that can occur in multidimensional grids are discussed. Results in two and three dimensions are given for the Navier-Stokes-type viscosity developed to damp these distortions.

• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 5755620
• Journal Information: J. Comput. Phys.; (United States), Journal Name: J. Comput. Phys.; (United States) Vol. 36:3; ISSN JCTPA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400 -- Engineering-- Heat Transfer & Fluid Flow
640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
DEFORMATION
ELASTICITY
IMPACT SHOCK
MECHANICAL PROPERTIES
NUMERICAL SOLUTION
SHOCK WAVES
SOLIDS
TENSILE PROPERTIES
VISCOSITY
WAVE PROPAGATION