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The application of non-linear freque...

McMullen, Matthew Scott.

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The application of non-linear frequency domain methods to the Euler and Navier-Stokes equations.

Record Type:	Electronic resources : Monograph/item
Title/Author:	The application of non-linear frequency domain methods to the Euler and Navier-Stokes equations./
Author:	McMullen, Matthew Scott.
Description:	182 p.
Notes:	Source: Dissertation Abstracts International, Volume: 64-03, Section: B, page: 1349.
Contained By:	Dissertation Abstracts International64-03B.
Subject:	Engineering, Aerospace. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3085211

The application of non-linear frequency domain methods to the Euler and Navier-Stokes equations.
McMullen, Matthew Scott.

The application of non-linear frequency domain methods to the Euler and Navier-Stokes equations. - 182 p.

Source: Dissertation Abstracts International, Volume: 64-03, Section: B, page: 1349.

Thesis (Ph.D.)--Stanford University, 2003.

This research demonstrates the accuracy and efficiency of the Non-Linear Frequency Domain (NLFD) method in applications to unsteady flow calculations. The basis of the method is a pseudo-spectral approach to recast a non-linear unsteady system of equations in the temporal domain into a stationary system in the frequency domain. The NLFD method, in principle, provides the rapid convergence of a spectral method with increasing numbers of modes, and, in this sense, it is an optimal scheme for time-periodic problems. In practice it can also be effectively used as a reduced order method in which users deliberately choose not to resolve temporal modes in the solution.Subjects--Topical Terms:

1018395
Engineering, Aerospace.

The application of non-linear frequency domain methods to the Euler and Navier-Stokes equations.
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035 $a (UnM)AAI3085211
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100 1 $a McMullen, Matthew Scott. $3 1899984
245 1 0 $a The application of non-linear frequency domain methods to the Euler and Navier-Stokes equations.
300 $a 182 p.
500 $a Source: Dissertation Abstracts International, Volume: 64-03, Section: B, page: 1349.
500 $a Adviser: Antony Jameson.
502 $a Thesis (Ph.D.)--Stanford University, 2003.
520 $a This research demonstrates the accuracy and efficiency of the Non-Linear Frequency Domain (NLFD) method in applications to unsteady flow calculations. The basis of the method is a pseudo-spectral approach to recast a non-linear unsteady system of equations in the temporal domain into a stationary system in the frequency domain. The NLFD method, in principle, provides the rapid convergence of a spectral method with increasing numbers of modes, and, in this sense, it is an optimal scheme for time-periodic problems. In practice it can also be effectively used as a reduced order method in which users deliberately choose not to resolve temporal modes in the solution.
520 $a The method is easily applied to problems where the time period of the unsteadiness is known <italic>a priori</italic>. A method is proposed that iteratively calculates the time period when it is not known <italic>a priori </italic>. Convergence acceleration techniques like local time-stepping, implicit residual averaging and multigrid are used in the solution of the frequency-domain equations. A new method, spectral viscosity is also introduced. In conjunction with modifications to the established techniques this produces convergence rates equivalent to state-of-the-art steady-flow solvers.
520 $a Two main test cases have been used to evaluate the NLFD method. The first is vortex shedding in low Reynolds number flows past cylinders. Numerical results demonstrate the efficiency of the NLFD method in representing complex flow field physics with a limited number of temporal modes. The shedding frequency is unknown <italic>a priori</italic>, which serves to test the application of the proposed variable-time-period method. The second problem is an airfoil undergoing a forced pitching motion in transonic flow. Comparisons with experimental results demonstrate that a limited number of temporal modes can accurately represent a non-linear unsteady solution. Comparisons with time-accurate codes also demonstrate the efficiency gains realized by the NLFD method.
590 $a School code: 0212.
650 4 $a Engineering, Aerospace. $3 1018395
650 4 $a Computer Science. $3 626642
650 4 $a Physics, Fluid and Plasma. $3 1018402
690 $a 0538
690 $a 0984
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710 2 0 $a Stanford University. $3 754827
773 0 $t Dissertation Abstracts International $g 64-03B.
790 1 0 $a Jameson, Antony, $e advisor
790 $a 0212
791 $a Ph.D.
792 $a 2003
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3085211