Imperial College London


Faculty of Natural SciencesDepartment of Mathematics

Chair in Applied Mathematics







753Huxley BuildingSouth Kensington Campus






BibTex format

author = {Schmid, PJ and Fosas, de Pando M and Peake, N},
doi = {10.1103/PhysRevFluids.2.113902},
journal = {Physical Review Fluids},
title = {Stability analysis for n-periodic arrays of fluid systems},
url = {},
volume = {2},
year = {2017}

RIS format (EndNote, RefMan)

AB - A computational framework is proposed for the linear modal and nonmodal analysis of fluid systems consisting of a periodic array of n identical units. A formulation in either time or frequency domain is sought and the resulting block-circulant global system matrix is analyzed using roots-of-unity techniques, which reduce the computational effort to only one unit while still accounting for the coupling to linked components. Modal characteristics as well as nonmodal features are treated within the same framework, as are initial-value problems and direct-adjoint looping. The simple and efficient formalism is demonstrated on selected applications, ranging from a Ginzburg-Landau equation with an n-periodic growth function to interacting wakes to incompressible flow through a linear cascade consisting of 54 blades. The techniques showcased here are readily applicable to large-scale flow configurations consisting of n-periodic arrays of identical and coupled fluid components, as can be found, for example, in turbomachinery, ring flame holders, or nozzle exit corrugations. Only minor corrections to existing solvers have to be implemented to allow this present type of analysis.
AU - Schmid,PJ
AU - Fosas,de Pando M
AU - Peake,N
DO - 10.1103/PhysRevFluids.2.113902
PY - 2017///
SN - 2469-990X
TI - Stability analysis for n-periodic arrays of fluid systems
T2 - Physical Review Fluids
UR -
UR -
VL - 2
ER -