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Zbl 0647.76042
Germano, M.
Differential filters of elliptic type. (English)
[J] Phys. Fluids 29, 1757-1758 (1986). ISSN 0031-9171

Summary: Linear differential filters, i.e., filters in which the filtered function $\overline{f}$ and the original function f are connected by a linear differential equation, are studied on a general basis concerning the elliptic operators of second order. In addition, a particular example of a parabolic filter depending on space and extended to past times is given, and its interest in the context of the large eddy simulation of turbulence is discussed.

MSC 2000:: *76F99 Turbulence

Keywords: differential filters of elliptic type; large eddy simulation; Linear differential filters; elliptic operators; simulation of turbulence

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Zentralblatt MATH Berlin [Germany]