In immiscible two-phase flows, jumps or kinks are present in the velocity and pressure fields across the interfaces of the two fluids. The extended finite element method (XFEM) is able to reproduce such discontinuities within elements. Robust and accurate interface capturing schemes with no restrictions on the interface topology are thereby enabled. This paper investigates different enrichment ...

In this paper, we compare predictions of several pore-scale codes for singleand two-phase flow for the first time. Firstly, two implementations of lattice-Boltzmann method (LBM) and a finite-difference based code (FDDA) predict single-phase flow in Fontainebleau sandstone and dolomite samples. We then obtain pore-scale drainage for two fluid phase configurations using a novel level set method b...

We present a coupled moving mesh and level set method for computing incom5 pressible two-phase flow with surface tension. This work extends a recent work 6 of Di et al. [(2005). SIAM J. Sci. Comput. 26, 1036–1056] where a moving 7 mesh strategy was proposed to solve the incompressible Navier–Stokes equa8 tions. With the involvement of the level set function and the curvature of the 9 interface,...

We present a new version of the sequential discontinuous Galerkin method introduced in [25] for two-phase immiscible incompressible flows in heterogeneous porous media with a discontinuous capillary field. Here, a new implementation of the extended interface condition, that does not use the threshold saturation value at the interface and permits treatment of different residual saturations in di...

In this paper, numerical investigation of upward two phase flow of air-water has been studied. Different conditions of flow regimes including annular, wispy annular, slug, churn and bubbly are simulated based on Hewitt and Roberts map, and a good agreement between the experimental data of the map and the numerical simulation has been observed. Accordingly, a proper CFD model in CFD software of ...

ii Preface This report is written at the Technological University of Denmark. The Department of Micro and Nanotechnology offers the three week course 33443 Microfluidics Theory and Simulation, which sorts under the Microfluidics Theory and Simulation (MIFTS) group [4], headed by Professor Henrik Bruus. The motivation for the present report is built on a contact from the Swedish company HemoCue ...

In this work, we present a family of exact self-similar solutions for the distribution of enclosed areas under mean curvature flow on the union of disjoint closed curves in the plane. To our knowledge, this is the first example of closed-form exact self-similar solutions for the mean curvature flow. We perform numerical simulations for large sets of initial data obtained as the zero level set o...

In this paper, an SPH method based on the SPH–ALE formulation is used for modelling two-phase flows with large density ratios and realistic sound speeds. The SPH scheme is further improved to circumvent the tensile instability that may occur in the SPH simulations. The two-phase SPH solver is then used to model a benchmark problem of liquid impact on a rigid wall. The results are compared with ...