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Temporal Commutation Errors in Large‐Eddy Simulation
Author(s) -
Franke J.,
Frank W.
Publication year - 2001
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.20010811513
Subject(s) - commutation , scalar (mathematics) , filter (signal processing) , control theory (sociology) , large eddy simulation , constraint (computer aided design) , computer science , mathematics , algorithm , physics , mechanics , turbulence , geometry , computer vision , artificial intelligence , control (management) , quantum mechanics , voltage
The spatial filtering applied in large eddy simulations leads to additional closure problems if the filter width varies in space and time. While the spatial commutation error has been examined, the temporal commutation error has not been studied, despite its relevance for in‐cylinder flow simulations ]1[. Here some theoretical results for the temporal commutation error are presented. It is shown that a temporally varying domain leads to an additional constraint on the filter function. The results are illustrated for a simple scalar problem.