1,721,098 research outputs found

    A parallel multi-block method for the unsteady vorticity-velocity equations

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    This paper provides a numerical method for solving two- and three-dimensional unsteady incompressible flows. The vorticity-velocity formulation of the Navier–Stokes equations is considered, employing the vorticity transport equation and a second-order Poisson equation for the velocity. Second-order-accurate centred finite differences on a staggered grid are used for the space discretization. The vorticity equation is discretized in time using a fully implicit three-level scheme. At each physical time level, a dual-time stepping technique is used to solve the coupled system of non linear algebraic equations by various efficient relaxation schemes. Steady flows are computed by dropping the physical time derivative and converging the pseudo-time-dependent problem. A domain decomposition of the physical space is also employed: the multi-block algorithm allows one to handle multiply-connected domains and complex configurations and, more importantly, to solve each grid-block on a single processor of a parallel platform. The accuracy and efficiency of the proposed methodology is demonstrated by solving well known two-dimensional flow problems. Then, the steady and unsteady flows inside a cubic cavity are considered and the numerical results are compared with experimental and numerical data

    Detailed CFD analysis of the steady flow in a Wells turbine under incipient and deep stall conditions

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    This paper presents the results of the numerical simulations carried out to evaluate the performance of a high solidity Wells turbine designed for an oscillating water column wave energy conversion device. The Wells turbine has several favorable features (e.g., simplicity and high rotational speed) but is characterized by a relatively narrow operating range with high efficiency. The aim of this work is to investigate the flow-field through the turbine blades in order to offer a description of the complex flow mechanism that originates separation and, consequently, low efficiency at high flow-rates. Simulations have been performed by solving the Reynolds-averaged Navier–Stokes equations together with three turbulence models, namely, the Spalart–Allmaras, k-, and Reynolds-stress models. The capability of the three models to provide an accurate prediction of the complex flow through the Wells turbine has been assessed in two ways: the comparison of the computed results with the available experimental data and the analysis of the flow by means of the anisotropy invariant maps. Then, a detailed description of the flow at different flow-rates is provided, focusing on the interaction of the tip-leakage flow with the main stream and enlightening its role on the turbine performance
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