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Numerical modeling of the flow of a viscous incompressible fluid in a cubic cavity. (Russian, English) Zbl 1079.76050
Zh. Vychisl. Mat. Mat. Fiz. 43, No. 3, 453-466 (2003); translation in Comput. Math. Math. Phys. 43, No. 3, 433-445 (2003).
Authors’ summary: The results of numerical simulations of the three-dimensional isothermal viscous incompressible flow in a cavity with a moving lid are presented. The system of quasi-hydrodynamic equations is used as a mathematical model. Computations were performed on a distributed-memory multiprocessor parallel computer. Parallel computation of Poisson’s equation is discussed in detail. Numerical results obtained for the Reynolds numbers 100 and 1000 on progressively refined grids are presented.

MSC:
76M20 Finite difference methods applied to problems in fluid mechanics
76D05 Navier-Stokes equations for incompressible viscous fluids
65Y05 Parallel numerical computation
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