The one-phase Hele-Shaw flow has a long history and has been extensively studied from several point of views ranging from the fluid dynamical beginnings to complex analysis and integrable systems, see [5]. We prove existence, using the implicit function theorem, of a solution Wε in the Bochner space L2(0, T ;H1 0 (Ω;Rm)) to a non-local in time semi-linear system of coupled PDEs of second order ...

In order to better model complex real-world data such as multiphase flow, one approach is to develop pattern recognition techniques and robust features that capture the relevant information. In this paper, we use deep learning methods, and in particular employ the multilayer perceptron, to build an algorithm that can predict flow pattern in twophase flow from fluid properties and pipe condition...

Challenges in the modeling the behavior of multiphase flow in naturally heterogeneous porous media P. Frolkovič (Universität Heidelberg, Germany) Flux-based level set method on unstructured grids Why the classical nucleation theory (CNT) cannot work 206

In the last 3 years there has been a huge increase in the use of pore-scale modeling to study multiphase flow and transport in porous media. Starting from single pore models of fluid arrangements, computations of relative permeability, interfacial area, dissolution rate and many other physical properties have been made. Combined with a realistic description of the pore space, predictive modelin...

Measurement with local needle probes is a well-established method for the investigation of multiphase flows. Different measuring techniques have been employed for the needle probes in the past. The most known techniques are based on: conductivity, capacitance, optical and/or temperature measurements [1-3]. Based on the detection of single phases, these probes can provide information about void ...

The breakup dynamics in non-Newtonian multiphase microsystems is associated with a variety of industrial applications such as food production and biomedical engineering. In this study, we numerically and experimentally characterize the dripping-to-jetting transition under various flow conditions in a Newtonian/shear-thinning multiphase microsystem. Our work can help to predict the formation of ...

The Multiscale Finite-Volume (MSFV) method has been recently developed and tested for multiphase-flow problems with simplified physics (i.e. incompressible flow without gravity and capillary effects) and proved robust, accurate and efficient. However, applications to practical problems necessitate extensions that enable the method to deal with more complex processes. In this paper we present a ...

The development of membrane technology is central to fields ranging from resource harvesting to medicine, but the existing designs are unable to handle the complex sorting of multiphase substances required for many systems. Especially, the dynamic multiphase transport and separation under a steady-state applied pressure have great benefits for membrane science, but have not been realized at pre...

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...

We consider parallel computing technology for the thermal simulation of multicomponent, multiphase fluid flow in petroleum reservoirs. This paper reports the development and applications of a parallel thermal recovery simulation code. This code utilizes the message passing interface (MPI) library, overlapping domain decomposition, and dynamic memory allocation techniques. Its efficiency is inve...