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- W1990596216 abstract "The paper deals with new implicit finite-difference schemes for solving the time-dependent incompressible Navier-Stokes equations in the stream function-vorticity formulation. New skew-symmetric second-order approximations are developed for the convective terms. The fully implicit implementation of both (no-slip and no-permeability) boundary conditions is constructed on the basis of the operator-splitting technique. For the discrete solution, there does exist an a priori estimate of the kinetic energy integral, free of any restrictions on grid parameters. The estimate is similar to the corresponding one for the solution of the differential problem and guarantees boundedness of the solution. To validate the new algorithms, a lid-driven cavity flow of an incompressible fluid has been considered for a range of Reynolds numbers." @default.
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- W1990596216 date "1995-09-01" @default.
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- W1990596216 title "Operator-splitting schemes for the stream function-vorticity formulation" @default.
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- W1990596216 doi "https://doi.org/10.1016/0045-7930(95)00015-5" @default.
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