Stability analysis and integration of the viscous equations of motion.
Stability analysis and integration of the viscous equations of motion.
Introduction.Techniques are established for the numerical solution of the time-dependent, one-dimensional equations of motion of a viscous, heat-conducting fluid.The equations of motion are approximated by suitable finite difference equations and the stability of the difference equations is investigated by using von Neumann's error analysis.Both explicit and implicit finite difference schemes …