On some problems in mathematical modeling of turbulent flow

• Autorzy: Burnat M. , Moszyński K.
• Języki publikacji: EN

Abstrakty

EN

The paper presents a new, rather elementary mathematical model of turbulent fluid flow with intensive self-mixing. The flow is described in this model by the (in general non-invertible) mappings Φt,t0 : ω -->S(t, t0,ω), ω, S ⊂ R³, t > t0, such that ◛ ∩ ω² = ∅ in general not implies S(t, to, ◛) ∩ S(t, t0, ω²) = ∅. This modeling allows a new approach to certain problems of turbulent flow. For example, there are possibilities of describing the unpredictable explosions of turbulence in a calm, laminar flow.

Słowa kluczowe

EN

fluid flow; turbulence; conservation laws; numerical approximation of integro-differential equations

PL

przepływ płynu; turbulencja; zasada zachowania

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Journal of Technical Physics
• Rocznik: 2007
• Tom: Vol. 48, no 3-4
• Strony: 171--192
• Opis fizyczny: Bibliogr. 6 poz., wykr.

Twórcy

autor

Burnat M.

autor

Moszyński K.

• University of Warsaw, Institute of Applied Mathematics and Mechanics, Banacha 2, 02-097 Warszawa, Poland,

Bibliografia

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• 3. M. BURNAT, On certain models of non-laminar flows with turbulent diffusion, Engeneering Transactions, 33, 3, 235-253.
• 4. M. BURNAT, S. KUROWSKI, M. PENCZEK, J. WIERZBICKI, Model of non-laminar, low temperature plasma flow with intensive selfmixing, Contrib. Plasma Phys., 25, 6, 1985.
• 5. Y. BRENIER A homogenized model for vortex sheets, Arch. Rational Mech. Anal., 138, 319-353, 1997.
• 6. GARY A. SOD, Numerical methods in fluid dynamics: Initial and initial-boundary-value problem, Cambridge University Press, 1986.