Use of artificial viscosity in multidimensional fluid dynamic calculations
Abstract
The von NeumannRichtmyer concept of artificial viscosity that is used in calculating the propagation of shocks was formulated in one spacedimension. A generalization of the method for two and for three spacedimensions is presented here. The basic objectives were to find the onedimensional 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 NeumannRichtmyer 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 NavierStokestype viscosity developed to damp these distortions.
 Publication:

Journal of Computational Physics
 Pub Date:
 July 1980
 DOI:
 10.1016/00219991(80)901618
 Bibcode:
 1980JCoPh..36..281W
 Keywords:

 Computational Fluid Dynamics;
 NavierStokes Equation;
 Shock Wave Propagation;
 Three Dimensional Flow;
 Two Dimensional Flow;
 Viscous Flow;
 Compressibility Effects;
 Flow Distortion;
 Viscosity;
 Viscous Damping;
 Fluid Mechanics and Heat Transfer