Algorithm for solving the Navier–Stokes equations for the modeling of creeping flows

Algorithm for solving the Navier–Stokes equations for the modeling of creeping flows We study a coupled algorithm for solving the two-dimensional Navier–Stokes equations in the stream function–vorticity variables. The algorithm is based on a finite-difference scheme in which the inertial terms in the vortex transport equation are taken from the lower time layer and the dissipative terms, from the upper time layer. In the linear approximation, we study the stability of this algorithm and use test computations to show its advantages when modeling flows at moderate Reynolds numbers. Differential Equations Springer Journals

Algorithm for solving the Navier–Stokes equations for the modeling of creeping flows

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Pleiades Publishing
Copyright © 2017 by Pleiades Publishing, Ltd.
Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
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