TY - GEN
T1 - A stable, high order accurate and efficient hybrid method for flow calculations in complex geometries
AU - Ålund, Oskar
AU - Nordström, Jan
N1 - Publisher Copyright:
© 2018, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved.
PY - 2018
Y1 - 2018
N2 - The suitability of a discretization method is highly dependent on the shape of the domain. Finite difference schemes are typically efficient, but unsuitable for complex geometries, while finite element methods are expensive but well suited for complex geometries. In this paper we propose a provably stable hybrid method for a 2D advection–diffusion problem, using a class of inner product compatible projection operators to couple the non-conforming grids that arise due to varying the discretization method throughout the domain.
AB - The suitability of a discretization method is highly dependent on the shape of the domain. Finite difference schemes are typically efficient, but unsuitable for complex geometries, while finite element methods are expensive but well suited for complex geometries. In this paper we propose a provably stable hybrid method for a 2D advection–diffusion problem, using a class of inner product compatible projection operators to couple the non-conforming grids that arise due to varying the discretization method throughout the domain.
UR - http://www.scopus.com/inward/record.url?scp=85141611032&partnerID=8YFLogxK
U2 - 10.2514/6.2018-1096
DO - 10.2514/6.2018-1096
M3 - Conference contribution
AN - SCOPUS:85141611032
SN - 9781624105241
T3 - AIAA Aerospace Sciences Meeting, 2018
BT - AIAA Aerospace Sciences Meeting
PB - American Institute of Aeronautics and Astronautics Inc, AIAA
T2 - AIAA Aerospace Sciences Meeting, 2018
Y2 - 8 January 2018 through 12 January 2018
ER -