TY - CHAP
T1 - Unsteady simulations of rotor stator interactions using SBP-SAT schemes: status and challenges
AU - Giangaspero, G.
AU - Almquist, M.
AU - Mattsson, K
AU - van der Weide, Edwin Theodorus Antonius
PY - 2015
Y1 - 2015
N2 - Recent developments in the SBP-SAT method have made available
high-order interpolation operators (Mattsson and Carpenter, SIAM J Sci Comput
32(4):2298–2320, 2010). Such operators allow the coupling of different SBP
methods across nonconforming interfaces of multiblock grids while retaining the
three fundamental properties of the SBP-SAT method: strict stability, accuracy, and
conservation. As these interpolation operators allow a more flexible computational
mesh, they are appealing for complex geometries. Moreover, they are well suited
for problems involving sliding meshes, like rotor/stator interactions, wind turbines,
helicopters, and turbomachinery simulations in general, since sliding interfaces are
(almost) always nonconforming.With such applications in mind, this paper presents
an accuracy analysis of these interpolation operators when applied to fluid dynamics
problems on moving grids. The classical problem of an inviscid vortex transported
by a uniform flow is analyzed: the flow is governed by the unsteady Euler equations
and the vortex crosses a sliding interface. Furthermore, preliminary studies on a
rotor/stator interaction are also presented.
AB - Recent developments in the SBP-SAT method have made available
high-order interpolation operators (Mattsson and Carpenter, SIAM J Sci Comput
32(4):2298–2320, 2010). Such operators allow the coupling of different SBP
methods across nonconforming interfaces of multiblock grids while retaining the
three fundamental properties of the SBP-SAT method: strict stability, accuracy, and
conservation. As these interpolation operators allow a more flexible computational
mesh, they are appealing for complex geometries. Moreover, they are well suited
for problems involving sliding meshes, like rotor/stator interactions, wind turbines,
helicopters, and turbomachinery simulations in general, since sliding interfaces are
(almost) always nonconforming.With such applications in mind, this paper presents
an accuracy analysis of these interpolation operators when applied to fluid dynamics
problems on moving grids. The classical problem of an inviscid vortex transported
by a uniform flow is analyzed: the flow is governed by the unsteady Euler equations
and the vortex crosses a sliding interface. Furthermore, preliminary studies on a
rotor/stator interaction are also presented.
KW - IR-99120
KW - METIS-315181
U2 - 10.1007/978-3-319-19800-2_21
DO - 10.1007/978-3-319-19800-2_21
M3 - Chapter
T3 - In Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014
SP - 247
EP - 255
BT - Lecture Notes in Computational Science and Engineering
A2 - Kirby, R.M.
A2 - Berzins, M.
A2 - Hesthaven, J.S.
PB - Springer
ER -
