Zakharenkov, M. N. Problems of simulation of separated viscous incompressible flows around bodies. (English. Russian original) Zbl 0957.76048 Comput. Math. Math. Phys. 38, No. 5, 810-823 (1998); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 5, 840-854 (1998). The author presents numerical simulation technique developed for plane viscous incompressible flows around circular and elliptic cylinders and an airfoil. Two-parameter second-order accurate approximate formulas for vorticity and pressure on a solid surface are derived and implemented in numerical algorithms as no-slip boundary conditions in the absence of mass flux across the surface. Computational results are discussed. Reviewer: Alexey Tret’yakov (Siedlce) MSC: 76M20 Finite difference methods applied to problems in fluid mechanics 76D05 Navier-Stokes equations for incompressible viscous fluids 76D10 Boundary-layer theory, separation and reattachment, higher-order effects Keywords:elliptic cylinder; circular cylinder; viscous incompressible flows; airfoil; no-slip boundary conditions; fully conservative finite difference scheme; Navier-Stokes equations; streamfunction-vorticity formulation PDFBibTeX XMLCite \textit{M. N. Zakharenkov}, Comput. Math. Math. Phys. 38, No. 5, 810--823 (1998; Zbl 0957.76048); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 5, 840--854 (1998)