@inproceedings{9304d88f75ba4526ac05e1c8d9de39f2,
title = "Conservative mimetic cut-cell method for incompressible Navier-Stokes equations",
abstract = "We introduce a mimetic Cartesian cut-cell method for incompressible viscous flow that conserves mass, momentum, and kinetic energy in the inviscid limit, and determines the vorticity such that the global vorticity is consistent with the boundary conditions. In particular we discuss how the no-slip boundary conditions should be applied in a conservative way on objects immersed in the Cartesian mesh. We use the method to compute the flow around a cylinder. We find a good comparison between our results and benchmark results for both a steady and an unsteady test case.",
author = "Ren{\'e} Beltman and Martijn Anthonissen and Barry Koren",
year = "2019",
month = jan,
day = "1",
doi = "10.1007/978-3-319-96415-7_98",
language = "English",
isbn = "978-3-319-96414-0",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer",
pages = "1035--1043",
editor = "Radu, {Florin Adrian} and Kundan Kumar and Inga Berre and Nordbotten, {Jan Martin} and Pop, {Iuliu Sorin}",
booktitle = "Numerical Mathematics and Advanced Applications ENUMATH 2017",
address = "Germany",
note = "European Conference on Numerical Mathematics and Advanced Applications : ENUMATH 2017, ENUMATH 2017 ; Conference date: 25-09-2017 Through 29-09-2017",
}