Numerical method for the study of the planar unsteadystate flow of compressible viscous liquids
Abstract
A computeradapted procedure for the numerical solution of the equations describing unsteady flow in a compressible viscous liquid is presented. The equations of momentum variation, continuity, intrinsic energy, and state are given, intrinsic energy effects are neglected, and viscosity terms are taken into account. The formulas of Noh (in Alder et al., 1964) are used to determine the partial derivatives and the divergence by approximations for the three and fourcorner compartments. These formulas are found to be well suited to numerical methods. A program based on this approach has been found to give good results if the step interval used is shorter than the time required for wave propagation at the speed of sound in the liquid to attain one third of the narrowest grid dimension. The 500th step in the computation of a 30m/sec flow around a submerged vane is illustrated graphically.
 Publication:

Periodica Polytechnica Transportation Engineering
 Pub Date:
 1982
 Bibcode:
 1982PPTE...10....3C
 Keywords:

 Compressible Flow;
 Computational Fluid Dynamics;
 Liquid Flow;
 Numerical Flow Visualization;
 Unsteady Flow;
 Viscous Fluids;
 Computer Techniques;
 Flow Equations;
 Momentum;
 Two Dimensional Flow;
 Fluid Mechanics and Heat Transfer