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- W1987924672 abstract "A global matrix-free finite-element scheme is proposed for the solution of two-dimensional Navier-Stokes equations in velocity–vorticity form. By including the boundary conditions of the field variables at the element level itself, the global assembly of matrices is completely eliminated, thus resulting in a significant saving in computer memory. Only the global vectors obtained as a result of matrix–vector products are assembled at the time of solution of the simultaneous equations, using a conjugate gradient iterative solver. The method is validated by solving a benchmark problem on natural convection in a square cavity. The incompressibility constraint of the flow field is satisfied by imposing the vorticity definition at the boundaries using a second-order-accurate Taylor series expansion scheme. Results obtained for natural convection in a square cavity for Rayleigh number 103 < Ra < 106 indicate excellent agreement with benchmark solutions. The capability of the method to treat complex flow geometri..." @default.
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- W1987924672 date "2006-08-01" @default.
- W1987924672 modified "2023-09-26" @default.
- W1987924672 title "Global Matrix-Free Finite-Element Scheme for Natural Convection in a Square Cavity with Step Blockage" @default.
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- W1987924672 doi "https://doi.org/10.1080/10407790600604742" @default.
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