USING THE DIFFERENCE D SCHEME IN AN AXI SYMMETRIC CASE FOR EXEMPLIFYING THE INSTABILITY DUE TO A NONCONSISTENT DIFFERENCE GRADIENT APPROXIMATION IN NUMERICAL GAS DYNAMICS

Yu. A. Bondarenko
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1986. Вып.2. С. 76-79.

      The paper examines the stability of the difference D scheme for a 2-D gas dynamics in Lagrangian variables on arbitrary quad grids for an axisymmetric case where (as opposed to a plane case) the differential operators of a linearized difference scheme are not self-conjugate which may be a potential source of instability. The studies were carried out using a four-cell model which has a moving node shared by these cells. An example is given illustrating a mesh with an unsteady state of rest.