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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/83727

    Title: A Simple Incompressible Flux Splitting For Sharp Free Surface Capturing
    Authors: Niu, Yang-Yao;Edwards, Jack R.
    Contributors: 淡江大學航空太空工程學系
    Keywords: artificial compressibility;AUSM;free surface;interface;LDFSS;multifluid
    Date: 2012-08
    Issue Date: 2013-03-20 16:57:04 (UTC+8)
    Publisher: Chichester: John Wiley & Sons Ltd.
    Abstract: This paper first applies a flux vector-type splitting method based on the numerical speed of sound for computing incompressible single and multifluid flows. Here, a preconditioning matrix based on Chorin's artificial compressibility concept is used to modify the incompressible multifluid Navier–Stokes equations to be hyperbolic and density or volume fraction-independent. The current approach can reduce eigenvalues disparity induced from density or volume fraction ratios and enhance numerical stability. Also, a simple convection-pressure flux-splitting method with high-order essentially nonoscillatory-type primitive variable extrapolations coupled with monotone upstream-centered schemes for conservation laws-type volume fraction recompressed reconstruction is used to maintain the preservation of sharp interface evolutions in multifluid flow simulations. Benchmark tests including a solid rotation test of a notched two-dimensional cylinder, the evolution of spiral and rotational shapes of deformable circles, a dam breaking problem, and the Rayleigh–Taylor instability were chosen to validate the current incompressible multifluid methodology. An incompressible driven cavity was also chosen to check the robustness of the proposed method on the computation of single fluid incompressible flow problems.
    Relation: International Journal for Numerical Methods in Fluids 69(10), pp.1661-1678
    DOI: 10.1002/fld.2658
    Appears in Collections:[Graduate Institute & Department of Aerospace Engineering] Journal Article

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