Publications [#268261] of John E. Dolbow

Papers Published

1. Lee, C; Dolbow, J; Mucha, PJ, A narrow-band gradient-augmented level set method for multiphase incompressible flow, Journal of Computational Physics, vol. 273 (September, 2014), pp. 12-37, Elsevier BV, ISSN 0021-9991 [doi]
   (last updated on 2023/06/01)

   Abstract:
   A finite-difference based numerical method for the simulation of multiphase incompressible flows is presented. The proposed algorithm adapts the gradient-augmented level set method of Nave et al. [25] for use in multiphase fluid simulations by interpolating the fluid velocity and introducing a simple reinitialization procedure. The method is carried out only along a narrow band surrounding the interface, reducing computational effort while preserving the advantages of the gradient-augmented method. Numerical results show excellent agreement with an analytical solution and available experimental data. A new experimental benchmark is introduced, using data gathered in a wedge-driven wave tank. In addition to the optimally local advection scheme and sub-grid resolution afforded by the new method, numerical comparisons with the standard level set method reveal superior volume conservation. © 2014 Elsevier Inc.