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- W2039591690 abstract "The paper discusses finite element approximations to problems in transient convective-conductive heat transfer in a fluid region. The governing equations are expressed in terms of the primitive variables; the flow is assumed to be laminar and the fluid incompressible within the Boussinesq approximation. The properties of the discrete advection-diffusion equation are analyzed with regard to the possible choices for mass representation (consistent or diagonal) and time integration procedure (explicit or implicit). In particular, the diagonal mass matrix and the explicit time integration method are shown to be a poor combination in terms of accuracy for meshes consisting of linear or multilinear finite elements. A simple remedy is suggested to improve the frequency response of such lumped-explicit schemes. Then, finite element formulations for the incompressible Navier-Stokes equations are considered. The various methods for incorporating the incompressibility constraint are briefly reviewed and those associated with explicit time integration of the momentum equations are discussed in detail. In particular, a method is presented for solving the pressure field, which does not require inter-element continuity of the pressure and does not exhibit a chequerboard splitting on square meshes. A numerical example is presented which illustrates the use of the proposed method for the explicit solution of time-dependent natural convection problems." @default.
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- W2039591690 date "1980-11-01" @default.
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- W2039591690 title "Finite element solution to transient convective-conductive heat transfer problems" @default.
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- W2039591690 doi "https://doi.org/10.1016/0029-5493(80)90084-9" @default.
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