New explicit second order splitting up schemes yielding shock profiles without oscillations
Abstract
A hyperbolic nonlinear two-dimensional time-splitting finite difference model is developed for treating steady and unsteady shock wave problems. The method includes the use of one-dimensional schemes in fractional steps in order to display dissipative forces. Examples are provided of four- and seven-parameter disintegration schemes applied to the Cauchy problem with a shock wave. Shock profiles are obtained without oscillation when a weak artificial viscosity is added in the computations.
- Publication:
-
NASA STI/Recon Technical Report A
- Pub Date:
- August 1982
- Bibcode:
- 1982STIA...8242814L
- Keywords:
-
- Cauchy Problem;
- Computational Fluid Dynamics;
- Finite Difference Theory;
- Hyperbolic Functions;
- Shock Wave Profiles;
- Two Dimensional Flow;
- Energy Dissipation;
- Nonoscillatory Action;
- Shock Wave Attenuation;
- Fluid Mechanics and Heat Transfer