VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • Phase-field formulated meshless simulation of Rayleigh-Taylor instability problem [Elektronski vir]
    Rana, Khush Bakhat ; Mavrič, Boštjan, 1989- ; Šarler, Božidar
    The interface between two immiscible Newtonian liquids with different densities and the same viscosity, influenced by gravity, is based on the Phase-Field Method (PFM) formulation. The solution of ... the related governing coupled Navier-Stokes (NS) and Cahn-Hillard (CH) equations is structured by the meshless Diffuse Approximate Method (DAM) and Pressure Implicit with Splitting of Operators (PISO). The variable density is involved in the inertial and buoyancy terms (non-Boussinesq formulation). The related moving boundary problem is handled through single-domain, irregular, fixed node arrangement in two-dimensional Cartesian coordinates. The meshless DAM uses weighted least squares approximation on overlapping subdomains, polynomial shape functions of second-order and Gaussian weights. Implicit time discretisation is performed for the NS and CH equations in the momentum predictor and Phase-Field (PF) variable corrector steps of PISO, while the momentum corrector steps solve the NS equation explicitly. This solution procedure has improved stability compared to Chorin's pressure-velocity coupling, previously used in meshless solutions of related problems. The Rayleigh-Taylor instability problem simulations are performed for an Atwood number of 0.76. The DAM parameters (shape parameter of the Gaussian weight function and number of nodes in a local subdomain) are the same as in the author's previous studies on single-phase flows. The simulations did not need any upwinding in the range of the simulations. The results compare well with the mesh-based finite volume method studies performed with the open-source code Gerris.
    Vir: Eurotherm 2024 [Elektronski vir] : 9th European Thermal Sciences Conference, 10/06/2024 - 13/06/2024, Lake Bled, Slovenia (Vol. 2766, [article no.] 012163, 2024, str. 1-6)
    Vrsta gradiva - prispevek na konferenci ; neleposlovje za odrasle
    Leto - 2024
    Jezik - angleški
    COBISS.SI-ID - 197787651

    Povezava(-e):

    https://iopscience.iop.org/article/10.1088/1742-6596/2766/1/012163
    Repozitorij Univerze v Ljubljani – RUL
    DOI

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