Adaptive pseudospectral solution of a diffuse interface model

A diffuse interface model with immiscibility preservation

A new, simple, and computationally efficient interface capturing scheme based on a diffuse interface approach is presented for simulation of compressible multiphase flows. Multi-fluid interfaces are represented using field variables (interface functions) with associated transport equations that are augmented, with respect to an established formulation, to enforce a selected interface thickness....

Adaptive Smolyak Pseudospectral Approximations

Polynomial approximations of computationally intensive models are central to uncertainty quantification. This paper describes an adaptive method for nonintrusive pseudospectral approximation, based on Smolyak’s algorithm with generalized sparse grids. We rigorously analyze and extend the nonadaptive method proposed in [P. G. Constantine, M. S. Eldred, and E. T. Phipps, Comput. Methods Appl. Mec...

A New Single-Display Intelligent Adaptive Interface for Controlling a Group of UAVs

The increasing use of unmanned aerial vehicles (UAVs) or drones in different civil and military operations has attracted attention of many researchers and science communities. One of the most notable challenges in this field is supervising and controlling a group or a team of UAVs by a single user. Thereupon, we proposed a new intelligent adaptive interface (IAI) to overcome to this challenge. ...

On linear schemes for a Cahn-Hilliard diffuse interface model

The study of interfacial dynamics in the mixture of different fluids, solids, or gas is one of the fundamental issues in hydrodynamics and materials science due it plays an increasingly important role in many current scientific, engineering, and industrial applications. Traditional fluid dynamics treats these mixtures as sharp interfaces on which a set of interfacial balance conditions must be ...

A Diffuse-Interface Model for Structure Development in Flow