zbMATH — the first resource for mathematics

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.

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