The application example of the sensitivity analysis of the solution to coefficients of the k-ε model | Zendy

Ewa BłazikBorowa | Zendy

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The application example of the sensitivity analysis of the solution to coefficients of the k-ε model

Author(s) -

Ewa BłazikBorowa

Publication year - 2012

Publication title -

budownictwo i architektura

Language(s) - English

Resource type - Journals

eISSN - 1899-0665

pISSN - 2544-3275

DOI - 10.35784/bud-arch.2230

Subject(s) - turbulence , sensitivity (control systems) , k omega turbulence model , mathematics , turbulence modeling , flow (mathematics) , k epsilon turbulence model , set (abstract data type) , square (algebra) , compressibility , mathematical analysis , term (time) , range (aeronautics) , statistical physics , physics , mechanics , geometry , computer science , quantum mechanics , electronic engineering , engineering , programming language , materials science , composite material

The paper presents the dependence between the degree of approxi- mation of flow property functions and the sensitivity coefficients which are results of sensitivity analysis of solution to the coefficients of the k-e turbulence model. It is shown that the model coefficients are factors of derivatives in the set of equa- tions which describes the k-e turbulence model. Because of this fact, when the term with the given parameter is large enough then the value of this parameter, being only the factor, has also larger influence on the solution. The numerical research is preceded by the description of calculation of sensitivity coefficients and their physi- cal sense. The problem is presented for three tasks of incompressible steady flow around square and rectangular models with use of the standard and RNG versions of the k-e turbulence model.

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