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• W2019297622 abstract "The time-dependent Navier–Stokes equations and the energy balance equation for an incompressible, constant property fluid in the Boussinesq approximation are solved by a least-squares finite element method based on a velocity–pressure–vorticity–temperature–heat-flux (u–P–ω–T–q) formulation discretized by backward finite differencing in time. The discretization scheme leads to the minimization of the residual in the l2-norm for each time step. Isoparametric bilinear quadrilateral elements and reduced integration are employed. Three examples, thermally driven cavity flow at Rayleigh numbers up to 106, lid-driven cavity flow at Reynolds numbers up to 104 and flow over a square obstacle at Reynolds number 200, are presented to validate the method." @default.
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• W2019297622 date "1993-08-30" @default.
• W2019297622 modified "2023-09-26" @default.
• W2019297622 title "A least-squares finite element method for time-dependent incompressible flows with thermal convection" @default.
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• W2019297622 doi "https://doi.org/10.1002/fld.1650170402" @default.
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