This article presents a comprehensive review of numerical methods and models for interface
resolving simulations of multiphase flows in microfluidics and micro process engineering …

We introduce a new class of unfitted finite element methods with high order accurate
numerical integration over curved surfaces and volumes which are only implicitly defined by …

We consider a standard model for incompressible two-phase flows in which a localized force
at the interface describes the effect of surface tension. If a level set (or VOF) method is …

In this paper a new finite element approach for the discretization of elliptic partial differential
equations on surfaces is treated. The main idea is to use finite element spaces that are …

A new implementation of surface tension effects in interfacial flow codes is proposed which
is both fully implicit in space, that is the interface never has to be reconstructed, and also …

A moving discontinuous Galerkin finite element method with interface condition enforcement
is formulated for flows with discontinuous interfaces. The underlying weak formulation …

微流控技术及微流控器件是近年来发展迅速的多学科交叉研究领域. 相比于传统方法,
微流控技术能够实现对微量多相流体的精准操控, 可应用于化学分析, 先进材料合成 …

A finite element method is introduced to simulate surface tension dominated flow of two
immiscible fluids featuring an enriched space for capturing both strong and weak pressure …

In this paper, we present a stress-based topology optimization of plate structures by using a
finite element level-set (LS) method. Since stress constraints are independent with LS-based …

In this article, we present a cut finite element method for two-phase Navier–Stokes flows.
The main feature of the method is the formulation of a unified continuous interior penalty …