Our work is aimed at the development of numerical method for the modeling of transonic flow of wet steam including condensation/evaporation phase change. We solve a system of PDE’s consisting of Euler or Navier-Stokes equations for the mixture of vapor and liquid droplets and transport...

The modeling of migration of hydrogen produced by the corrosion of the nuclear waste packages in an underground storage including the dissolution of hydrogen involves a set of nonlinear partial differential equations with nonlinear complementarity constraints. This article shows how to apply a...

A novel lattice Boltzmann model for two-phase fluids is presented. We begin with the two-body BBGKY equation, and perform a coordinate transformation to split it into a Boltzmann equation for the one-body distribution, coupled to a kinetic equation for the correlation function. The coupling is...

A set of non-dimensional model equations, which can simulate incompressible, immiscible two-phase flows in the presence of a magnetic field, has been derived and solved numerically with a finite difference method using the HSMAC algorithm. In this study, dynamics of a falling droplet of liquid...

Proton Exchange Membrane Fuel Cell (PEMFC) systems are more and more presented as a good alternative to current energy converters such as internal combustion engines. They suffer however from insufficient reliability and durability for stationary and transport applications. Reliability and...

The Korteweg–de Vries equation has been generalized by Rosenau and Hyman [Compactons: Solitons with finite wavelength, Phys. Rev. Lett. 70(5) (1993) 564] to a class of partial differential equations that has soliton solutions with compact support (compactons). Compactons are solitary waves...

With the use of Adomian decomposition method, the prototypical, genuinely nonlinear K(m,n) equation, ut+(um)x+(un)xxx=0, which exhibits compactons—solitons with finite wavelength—is solved exactly. Two numerical illustrations, K(2,2) and K(3,3), are investigated to illustrate the pertinent...

In this paper we present a general and unified approach for analyzing the genuinely nonlinear dispersive mK(n,n) equations. The focusing branch exhibits compactons: solitons with finite wave lengths, whereas the defocusing branch supports solutions with solitary patterns. The work formally shows...