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Title: Direct Numerical Simulation DNS: Maximum Error as a Function of Mode Number

Abstract

Numerical errors can be characterized in terms of algebraic polynomial approximation of a sine wave. The magnitude of the error will, therefore, depend on the energy at each mode in a Fourier expansion. Flows with a great deal of energy in the highest modes, such as Turbulence, are therefore the most difficult to approximate.

Authors:
Publication Date:
Research Org.:
Lawrence Livermore National Lab., CA (US)
Sponsoring Org.:
USDOE Office of Defense Programs (DP) (US)
OSTI Identifier:
793962
Report Number(s):
UCRL-ID-139441
TRN: US200302%%686
DOE Contract Number:  
W-7405-Eng-48
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: 1 Jun 2000
Country of Publication:
United States
Language:
English
Subject:
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; POLYNOMIALS; SIMULATION; TURBULENCE

Citation Formats

Jameson, L. Direct Numerical Simulation DNS: Maximum Error as a Function of Mode Number. United States: N. p., 2000. Web. doi:10.2172/793962.
Jameson, L. Direct Numerical Simulation DNS: Maximum Error as a Function of Mode Number. United States. doi:10.2172/793962.
Jameson, L. Thu . "Direct Numerical Simulation DNS: Maximum Error as a Function of Mode Number". United States. doi:10.2172/793962. https://www.osti.gov/servlets/purl/793962.
@article{osti_793962,
title = {Direct Numerical Simulation DNS: Maximum Error as a Function of Mode Number},
author = {Jameson, L},
abstractNote = {Numerical errors can be characterized in terms of algebraic polynomial approximation of a sine wave. The magnitude of the error will, therefore, depend on the energy at each mode in a Fourier expansion. Flows with a great deal of energy in the highest modes, such as Turbulence, are therefore the most difficult to approximate.},
doi = {10.2172/793962},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2000},
month = {6}
}

Technical Report:

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