NONCONSERVATIVE DIFFERENCE SCHEME FOR EQUATIONS IN GAS DYNAMICS BASED ON THE GODUNOV SCHEME

A. A. Charakhchian
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1988. Вып.2. С. 22-28.

      A difference scheme for equations in gas dynamics is examined. The computation process is accomplished in two stages. The first stage performs the computation in Lagrangian variables, while in the second stage the conversion to an Eulerian mesh, possibly moving, takes place. In the first stage the conservative Godunov scheme is reduced to a form which directly yields an approximation for internal energy change equations. A new scheme is derived from the requirement that the coefficients in a resulting pressure interpolation formula should be nonnegative. This requirement importance is illustrated by nonspherical charge burst calculations.
      The scheme is used to implement a procedure for computing complicated gas dynamic flows. Several computational results for gas compression in solid cone targets are given. Solving this problem with a conservative scheme resulted in a considerable distorted solution.