Symmetric and nonsymmetric splitting schemes for gas dynamic equations
Abstract
Two well known approaches are examined which lead to apparently similar difference schemes for equations of gas dynamics. One approach, represented by the method of large particles and by the method of fluid in a cell, is traditional in the construction of difference splitting schemes. The second approach is represented by the method of particles in a cell. It is shown that while the first approach yields schemes with nonsymmetric splitting, the second approach produces a difference scheme with symmetric splitting as N tends to infinity.
 Publication:

Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki
 Pub Date:
 November 1991
 Bibcode:
 1991ZVMMF..31.1692C
 Keywords:

 Finite Difference Theory;
 Gas Dynamics;
 Integral Equations;
 Particle In Cell Technique;
 Conservation Laws;
 Numerical Stability;
 Fluid Mechanics and Heat Transfer