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Numerical study of a discrete projection method for rotating incompressible flows. (English) Zbl 1175.35104
Summary: This paper presents a numerical analysis for complex 3D simulations of the Stirred Tank Reactor (STR) model by a modified discrete projection method (DPM) for rotating incompressible flow. For several proto- typical configurations of the STR model, we examine the multigrid behavior for momentum and pressure Poisson subproblems for different values of the time step, the angular velocity, etc., and we give examples of the convergence behavior of the (outer) DPM scheme. For a prototypical application, we visualize the complex flow behavior by injecting sources of particle tracers into the obtained flow field to observe their mixing distribution.

MSC:
35Q30 Navier-Stokes equations
76D05 Navier-Stokes equations for incompressible viscous fluids
76D07 Stokes and related (Oseen, etc.) flows
76M10 Finite element methods applied to problems in fluid mechanics
65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
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