TY - JOUR
T1 - Benchmark problems for numerical treatment of backflow at open boundaries
AU - Bertoglio, Cristóbal
AU - Caiazzo, Alfonso
AU - Bazilevs, Yuri
AU - Braack, Malte
AU - Esmaily, Mahdi
AU - Gravemeier, Volker
AU - L. Marsden, Alison
AU - Pironneau, Olivier
AU - E. Vignon-Clementel, Irene
AU - A. Wall, Wolfgang
N1 - Publisher Copyright:
Copyright © 2017 John Wiley & Sons, Ltd.
PY - 2018/2/1
Y1 - 2018/2/1
N2 - In computational fluid dynamics, incoming velocity at open boundaries, or backflow, often yields unphysical instabilities already for moderate Reynolds numbers. Several treatments to overcome these backflow instabilities have been proposed in the literature. However, these approaches have not yet been compared in detail in terms of accuracy in different physiological regimes, in particular because of the difficulty to generate stable reference solutions apart from analytical forms. In this work, we present a set of benchmark problems in order to compare different methods in different backflow regimes (with a full reversal flow and with propagating vortices after a stenosis). The examples are implemented in FreeFem++, and the source code is openly available, making them a solid basis for future method developments.
AB - In computational fluid dynamics, incoming velocity at open boundaries, or backflow, often yields unphysical instabilities already for moderate Reynolds numbers. Several treatments to overcome these backflow instabilities have been proposed in the literature. However, these approaches have not yet been compared in detail in terms of accuracy in different physiological regimes, in particular because of the difficulty to generate stable reference solutions apart from analytical forms. In this work, we present a set of benchmark problems in order to compare different methods in different backflow regimes (with a full reversal flow and with propagating vortices after a stenosis). The examples are implemented in FreeFem++, and the source code is openly available, making them a solid basis for future method developments.
KW - Navier-Stokes equations respiratory flows
KW - backflow stabilization
KW - benchmarking
KW - blood flows
UR - http://www.scopus.com/inward/record.url?scp=85041402563&partnerID=8YFLogxK
U2 - 10.1002/cnm.2918
DO - 10.1002/cnm.2918
M3 - Article
C2 - 28744968
AN - SCOPUS:85041402563
SN - 2040-7939
VL - 34
JO - International Journal for Numerical Methods in Biomedical Engineering
JF - International Journal for Numerical Methods in Biomedical Engineering
IS - 2
M1 - e2918
ER -