Document Zbl 0864.76070

On the construction of a third-order accurate monotone convection scheme with application to turbulent flows in general domains. (English) Zbl 0864.76070

Int. J. Numer. Methods Fluids 22, No. 7, 619-641 (1996).

A formally third-order accurate finite volume upwind scheme which preserves monotonicity is constructed. It is based on a third-order polynomial interpolant in Leonard’s normalized variable space. A flux limiter is derived using the fact that there exists a one-to-one map between normalized variable and TVD spaces. This scheme is implemented in a staggered general coordinates finite volume algorithm including the standard \(k-\varepsilon\) model and applied to the turbulence transport equations. A number of test problems demonstrate the utility of the proposed scheme.

Cited in 13 Documents

MSC:

76M25	Other numerical methods (fluid mechanics) (MSC2010)
76F10	Shear flows and turbulence

Keywords:

boundary-fitted coordinates; \(k\)-epsilon model; finite volume upwind scheme; third-order polynomial interpolant; Leonard’s normalized variable space; flux limiter; turbulence transport equations

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References:

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