Relaxation control in the solution of CFD problems. (English) Zbl 0966.76053
Summary: We present a method for changing the relaxation coefficients in the course of the solution of CFD problems. The aim of the method is to provide, with as little input from the user as possible, the fastest possible (hopefully) approach to convergence. The method draws on elements borrowed from fuzzy-logic theory, which provides systematic rules for changing the values of variables that control a system as a function of values of some other system variables. The method is tested on Cartesian and curvilinear coordinates, single and multiphase problems, laminar and turbulent flows, inert and chemically-reaching fluids, and one- or three-dimensional geometries. For these cases, the method is generally well-behaved (e.g., non-oscillatory), and provides faster convergence than the use of constant relaxation coefficients for the whole calculation.
MSC:
| 76M12 | Finite volume methods applied to problems in fluid mechanics |
| 03B52 | Fuzzy logic; logic of vagueness |
Keywords:
finite volumes; fuzzy-control method; relaxation coefficients; convergence; fuzzy-logic theoryReferences:
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