Azarova, O. A. A minimum-stencil difference scheme for computing two-dimensional axisymmetric gas flows: examples of pulsating flows with instabilities. (Russian, English) Zbl 1199.76021 Comput. Math., Math. Phys. 49, No. 4, 710-728 (2009); translation from Zh. Vychisl. Mat. Mat. Fiz. 49, No. 4, 734-753 (2009). Summary: A minimum-stencil difference scheme for computing two-dimensional axisymmetric gas flows is described. The scheme is explicit, conservative, and second-order accurate in space and time. The numerical results obtained for pulsating flows and contact discontinuity instabilities are discussed. The mechanisms of flow pulsation and instability generation are described. Cited in 1 Document MSC: 76M20 Finite difference methods applied to problems in fluid mechanics 76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics 35Q31 Euler equations 76D07 Stokes and related (Oseen, etc.) flows Keywords:pulsating flows; Euler equations; Richtmyer-Meshkov instability; turbulence PDFBibTeX XMLCite \textit{O. A. Azarova}, Zh. Vychisl. Mat. Mat. Fiz. 49, No. 4, 734--753 (2009; Zbl 1199.76021); translation from Zh. Vychisl. Mat. Mat. Fiz. 49, No. 4, 734--753 (2009) Full Text: DOI