SOLUTION OF TWO-DIMENSIONAL RIEMANN PROBLEMS USING THE METHOD OF PIECEWISE PARABOLIC RECONSTRUCTION

The formulation and solution of two-dimensional gas-dynamics problems associated with the interaction of shock waves, rarefaction waves, and contact discontinuities in the computational domain of simple confi guration are discussed. Results of calculations corresponding to different confi gurations of a two-dimensional Riemann problem are given, and the accuracy of resolution of flow regions with abrupt parametric changes is discussed. The calculation results make it possible to judge the monotonicity and exactness of a numerical solution, the presence of numerical diffusion and phase errors, and also the smoothing of the solution in the regions of its gross change
   
Author:  P. V. Bulat and K. N. Volkov
Keywords:  gas dynamics, Riemann problem, difference scheme, shock wave, rarefaction wave, contact discontinuity
Page:  525