Frequency domain formulation of linearized Navier-Stokes equations

A naturally parallelizable formulation is considered for solving linearized time-dependent Navier-Stokes equations. The evolution problem is first converted into a complex valued elliptic system by Fourier transformation. Existence and uniqueness are then given for the resulting problem for each frequency. Stability and regularity depending on frequency are analyzed. Next, standard finite element methods are used to approximate solutions for the transformed elliptic systems. Finally, time-dependent solutions are constructed by Fourier inversion with a full estimate of errors generated in the truncation in the Fourier transformation, quadrature rules, and finite element approximations. (C) 2000 Published by Elsevier Science S.A. All rights reserved.
Publisher
ELSEVIER SCIENCE SA
Issue Date
2000
Language
ENG
Keywords

SCALAR WAVES; APPROXIMATION

Citation

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, v.187, no.1-2, pp.351 - 362

ISSN
0045-7825
DOI
10.1016/S0045-7825(99)00132-2
URI
http://hdl.handle.net/10203/8501
Appears in Collection
MA-Journal Papers(저널논문)
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