LINEARIZING MULTIDIMENSIONAL GAS DYNAMICS EQUATIONS

V. Ya. Bukharova, G. A. Grishina, O. M. Zotova, T. G. Ivchenko
Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1979. Вып.2. С. 6-11.

      A method for evaluation of gas dynamic flows in linear approximation is described. The paper formulates the problem, develops differential equations for perturbations in the cases of plane, spherical, and cylinder symmetry flows, it also represents their solution using Fourier series.
      The approach, proposed here. is applied to the numerical solution of 3-D problems and is also used, for example, to investigate the Ray 1eigh-Taylor instability generation. Later we are planning to publish the information on a numerical method, implementing small perturbation computations.