A hybrid method to simulate unsteady multiphase flows is described. One phase is represented by moving particles and the other phase is defined on stationary mesh. The flow field is discretized by a conservative finite volume approximation on the stationary mesh, and the interface is automatically captured by the distribution of particles moving through the stationary mesh. The effects of surfa...

The ability to numerically simulate single phase and multiphase ow of uids in porous media is extremely important in developing an understanding of the complex phenomena governing the ow. The ow is complicated by the presence of heterogeneities in the reservoir at many diierent length scales and by phenomena such as diiusion and dispersion. These eeects must be eeectively modeled by terms in co...

A modeling and analysis of a two-stage multiphase switched-capacitor (MPSC) converter is derived by combining a variable-phase control (VPC) and a pulse-width-modulation (PWM) technique for highefficiency step-up DC-DC conversion. In this MPSC, there are two voltage doublers in series for boosting the voltage gain up to 4 22 = at most. Here, VPC is suggested to realize a variable multiphase ope...

Multiphase porous media mechanics is used for modeling tumor growth, using governing equations obtained via the thermodynamically constrained averaging theory (TCAT). This approach incorporates the interaction of more phases than legacy tumor growth models. The tumor is treated as a multiphase system composed of an extracellular matrix, tumor cells which may become necrotic depending on nutrien...

In industrial manufacturing, most batch processes are inherently multistage/multiphase in nature. To ensure both quality consistency of the manufactured products and safe operation of this kind of batch process, different multivariate statistical process control (MSPC) methods have been proposed in recent years. This paper gives an overview of multistage/multiphase statistical process control m...

In the paper we consider upscaling of multiphase flow in porous media. We propose numerical techniques for upscaling of pressure and saturation equations. Extensions and applications of these approaches are considered in the paper. Numerical examples are presented.

Multistage/multiphase is an inherent characteristic of many batch processes, which should be taken into consideration to ensure better batch process monitoring, analysis, quality prediction and improvement. In this paper, a series of stage-oriented multivariate statistical methods on such topics are reviewed. Then, the modeling problem of transition between stage and stage is discussed. A new p...

Selecting the proper primary variables is a critical step in efficiently modeling the highly nonlinear problem of multiphase subsurface flow in a heterogeneous porous-fractured media. Current simulation and ground modeling techniques consist of (1) spatial discretization of mass and/or heat conservation equations using finite difference or finite element methods; (2) fully implicit time discret...