Variational principles and generalized variational principles for fully 3-D transonic flow with shocks in a turbo-rotor part II. Rotational flow
Copyright policy )Variational principles and generalized variational principles for fully 3-D transonic flow with shocks in a turbo-rotor part II. Rotational flow
[For part I see: ibid. 95, No. 1-4, 117-130 (1992)]. This paper is intended to provide a rigorous theoretical foundation for constructing a novel computational method which incorporates a new finite element with self-adapting embedded discontinuities (now under development) and the artificial density concept; this method could capture all unknown discontinuities automatically and clearly. The applicability of variational principles to rotational flow, in contrast to those for Beltrami flow, is not limited to transonic flows with moderate Mach numbers.
- University of Shanghai for Science and Technology China (People's Republic of)
generalized Rankine-Hugoniot shock relations, Variational methods applied to problems in fluid mechanics, functional variation, Transonic flows, natural boundary condition, General theory of rotating fluids, self- adapting embedded discontinuities, Shock waves and blast waves in fluid mechanics, finite element, artificial density, Bateman's principle, Beltrami flow
generalized Rankine-Hugoniot shock relations, Variational methods applied to problems in fluid mechanics, functional variation, Transonic flows, natural boundary condition, General theory of rotating fluids, self- adapting embedded discontinuities, Shock waves and blast waves in fluid mechanics, finite element, artificial density, Bateman's principle, Beltrami flow
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