e-space
Manchester Metropolitan University's Research Repository

    A compressible multiphase flow model for violent aerated wave impact problems

    Ma, ZH, Causon, DM, Qian, L, Mingham, CG, Gu, HB and Ferrer, PM (2014) A compressible multiphase flow model for violent aerated wave impact problems. Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences, 470. ISSN 1364-5021

    [img]
    Preview

    Available under License In Copyright.

    Download (5MB) | Preview

    Abstract

    This paper focuses on the numerical modelling of wave impact events under air entrapment and aeration effects. The underlying flow model treats the dispersed water wave as a compressible mixture of air and water with homogeneous material properties. The corresponding mathematical equations are based on a multiphase flow model which builds on the conservation laws of mass, momentum and energy as well as the gas-phase volume fraction advection equation. A high-order finite volume scheme based on monotone upstream-centred schemes for conservation law reconstruction is used to discretize the integral form of the governing equations. The numerical flux across a mesh cell face is estimated by means of the HLLC approximate Riemann solver. A third-order total variation diminishing Runge–Kutta scheme is adopted to obtain a time-accurate solution. The present model provides an effective way to deal with the compressibility of air and water–air mixtures. Several test cases have been calculated using the present approach, including a gravity-induced liquid piston, free drop of a water column in a closed tank, water–air shock tubes, slamming of a flat plate into still pure and aerated water and a plunging wave impact at a vertical wall. The obtained results agree well with experiments, exact solutions and other numerical computations. This demonstrates the potential of the current method to tackle more general wave–air–structure interaction problems.

    Impact and Reach

    Statistics

    Activity Overview
    6 month trend
    959Downloads
    6 month trend
    559Hits

    Additional statistics for this dataset are available via IRStats2.

    Altmetric

    Repository staff only

    Edit record Edit record