In this section
@article{Pavlidis:2016:10.1002/fld.4078,
author = {Pavlidis, D and Gomes, JLMA and Xie, Z and Percival, JR and Pain, CC and Matar, OK},
doi = {10.1002/fld.4078},
journal = {International Journal for Numerical Methods in Fluids},
pages = {256--282},
title = {Compressive advection and multi-component methods for interface-capturing},
url = {http://dx.doi.org/10.1002/fld.4078},
volume = {80},
year = {2016}
}
TY - JOUR
AB - This paper develops methods for interface-capturing in multiphase flows. The main novelties of these methods are as follows: (a) multi-component modelling that embeds interface structures into the continuity equation; (b) a new family of triangle/tetrahedron finite elements, in particular, the P1DG-P2(linear discontinuous between elements velocity and quadratic continuous pressure); (c) an interface-capturing scheme based on compressive control volume advection methods and high-order finite element interpolation methods; (d) a time stepping method that allows use of relatively large time step sizes; and (e) application of anisotropic mesh adaptivity to focus the numerical resolution around the interfaces and other areas of important dynamics. This modelling approach is applied to a series of pure advection problems with interfaces as well as to the simulation of the standard computational fluid dynamics benchmark test cases of a collapsing water column under gravitational forces (in two and three dimensions) and sloshing water in a tank. Two more test cases are undertaken in order to demonstrate the many-material and compressibility modelling capabilities of the approach. Numerical simulations are performed on coarse unstructured meshes to demonstrate the potential of the methods described here to capture complex dynamics in multiphase flows.
AU - Pavlidis,D
AU - Gomes,JLMA
AU - Xie,Z
AU - Percival,JR
AU - Pain,CC
AU - Matar,OK
DO - 10.1002/fld.4078
EP - 282
PY - 2016///
SN - 0271-2091
SP - 256
TI - Compressive advection and multi-component methods for interface-capturing
T2 - International Journal for Numerical Methods in Fluids
UR - http://dx.doi.org/10.1002/fld.4078
UR - https://onlinelibrary.wiley.com/doi/abs/10.1002/fld.4078
VL - 80
ER -