ON APPROXIMATING VOLUME INTEGRALS IN A DIFFERENCE SCHEME DERIVED IN ARBITRARY CURVILINEAR COORDINATES ON BASE OF THE GODUNOV METHOD FOR SOLVING TWO-DIMENSIONAL GAS DYNAMICS PROBLEMS

N. Ya. Moiseyev
VANT. Ser.: Mat. Mod. Fiz. Rroc 1989. Вып.3. С. 71-74.

      It is suggested to use intermediate values found at cell edges from the solution of the Riemann problem in the difference scheme derived in arbitrary curvilinear coordinates on the basis of the Godunov method when approximating volume Integrals. This approach to approximating integrals allows to match times at the choice of intermediate values of gas dynamics quantities in the left and right parts of difference equations.
      Computations of model problems showed higher accuracy of the results and maintaining movement symmetry at approximating geometry with circumferences or straight lines using difference meshes close to uniform.