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- W2368456170 abstract "If the motion of sea water is steady,the velocity and the pressure will not depend on time.This supposition will help us to analyse the three-dimensional distribution ofcurrent in the sea.According to the Helmholtz-Korteweg principle,the variationalformulation for the three-dimensional Reynolds equation of marine current is given inthis paper,and discretization achieved by the finite element technique is based on thatformulation.We first consider the turbulence energy equation,and then drop the Change D/(Dt)q~2of kinetic energy,the convective acceleration terms of the turbulence energy in theequation.at the same time,the viscous diffusion terms do not remain in this equationbecause of the high Reynolds number which is due to the large-scale of marine turbu-lence.Therefore,when analysing the viscous dissipation terms by turbulence theory,we may form a functional consisting of the production terms and the convectivediffusion terms under the constraint of the continuity equation,in which the eddy visco coefficients are introduced and the production terms and the viscous diffusionterms are replaced by the representation related to the strains.It is found that the first variation of the functional gives the Euler-Lagrangeequation,which is just the Reynolds equation,and the natural boundary conditions.Atlast,we discretize the functional by the finite element technique in the given domainand on the corresponding boundary.An error estimation may be made by using a waysimilar to that in treating the stokes problem." @default.
- W2368456170 created "2016-06-24" @default.
- W2368456170 creator A5038697898 @default.
- W2368456170 date "1984-01-01" @default.
- W2368456170 modified "2023-09-25" @default.
- W2368456170 title "TURBULENCE MODELLING FOR MARINE CURRENT AND THE RELATED FINITE ELEMENT SYSTEM OF EQUATIONS" @default.
- W2368456170 hasPublicationYear "1984" @default.
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