A kinetic flux-vector splitting method for single-phase and two-phase shallow flows

Discontinuous Galerkin finite element method for shallow two-phase flows

We present a discontinuous Galerkin finite element method for two depth-averaged two-phase flow models. One of these models contains nonconservative products for which we developed a discontinuous Galerkin finite element formulation in Rhebergen et al. (2008) J. Comput. Phys. 227, 1887-1922. The other model is a new depth-averaged two-phase flow model we introduce for shallow two-phase flows th...

A Parallelizable Method for Two - Phase Flows

Space discontinuous Galerkin method for shallow water flows —kinetic and HLLC flux, and potential vorticity generation

In this paper, a second order space discontinuous Galerkin (DG) method is presented for the numerical solution of inviscid shallow water flows over varying bottom topography. Novel in the implementation is the use of HLLC and kinetic numerical fluxes 1 in combination with a dissipation operator, applied only locally around discontinuities to limit spurious numerical oscillations. Numerical solu...

Numerical Study of Single Phase/Two-Phase Models for Nanofluid Forced Convection and Pressure Drop in a Turbulence Pipe Flow

In this paper, the problem of turbulent forced convection flow of water- alumina nanofluid in a uniformly heated pipe has been thoroughly investigated. In numerical study, single and two-phase models have been used. In single-phase modeling of nanofluid, thermal and flow properties of nanofluid have been considered to be dependent on temperature and volume fraction. Effects of volume fraction a...

A level set based method for calculating flux densities in two - phase flows

In many two-phase (liquid/gas) flows encountered in industrial applications, for example, liquid atomizers, boilers and spray systems, fluid properties such as density and viscosity vary by several orders of magnitude across fluid interfaces. This discontinuity in fluid properties is a great challenge in modeling such flows. In particular, at large density ratios (≥ 500), non-physical deformati...