Some properties of difference schemes in onedimensional gas dynamics
Abstract
An implicit nonlinear difference scheme used in onedimensional gas dynamics is analyzed numerically. A study is then made of the stability of some difference schemes which are made explicit to improve solvability. A proof is presented for a theorem on the stability of a onedimensional gasdynamic difference scheme relative to an arbitrary smooth solution in the acoustic approximation.
 Publication:

Computational Mathematics and Mathematical Computer Software
 Pub Date:
 1985
 Bibcode:
 1985cmmc.proc...20A
 Keywords:

 Computational Fluid Dynamics;
 Finite Difference Theory;
 Gas Dynamics;
 One Dimensional Flow;
 Isothermal Flow;
 Nonlinear Equations;
 Numerical Stability;
 Fluid Mechanics and Heat Transfer