[PDF] Top 20 A cartesian-grid integrated-RBF method for viscoelastic flows

... of integrated radial-basis-function networks (IRBFNs), Cartesian-grids and point collocation for numerically solving 2D flows of viscoelastic ...proposed method, RBFNs, which are ... See full document

... conventional RBF techniques, the present technique considers both the field variables and their partial derivatives in Cartesian directions in the ...Re flows without recourse to up-winding ... See full document

... viscous flows mod- elled with the u b − p ...projection method, based on Cartesian grids and a compact local IRBF scheme, for the discretisation of the u b − p formulation in two ...a grid ... See full document

... a grid and integrating the governing equations in these methods are low-cost; and (ii) FFT can be applied to accelerate computa- tional processes, ...whole grid or locally on small segments of the ...two ... See full document

... Abstract This paper presents a new compact approximation method for the discretisation of second-order elliptic equations in one and two dimensions. The problem domain, which can be rectangular or non-rectangular, ... See full document

... discretisation method, based on Cartesian grids and integrated-radial-basis-function elements (IRBFEs), for the solution of second-order elliptic problems in one and two ...a Cartesian ... See full document

... spectral method [Lahbabi and Chang (1986)], and by the Galerkin finite element method (GFE) and FCC [Pilitsis and Beris (1992)] are also included for comparison ...the grid is ...the flows are ... See full document

... meshless method which can improve the accuracy of the solution in comparison with the one of standard collocation ...weak-strong-form method, in which the weak form is applied to the subdomain concerned ... See full document

... elastic flows based on the Integrated Radial Basis Function (IRBF) Control Volume and the Stochastic Simulation Techniques (SST) is reported in this ...1D-IRBF-CV method while the latter is ... See full document

... compact integrated radial basis function (CIRBF) approximations, for solving the Navier-Stokes equations in two ...a Cartesian grid containing Eulerian ...DFIB method, in which a smoothed ... See full document

... Radial-basis-function networks (RBFNs) have been shown to be a powerful numerical tool for the solution of partial-differential equations (PDEs). The first report on this subject was made by Kansa (1990). For Kansa’s ... See full document

... the RBF width, which strongly affects the performance of RBFNs, has still been chosen either by empirical approaches or by optimization techniques, see for example ...(DRBFN) method, Mai-Duy and Tran-Cong ... See full document

... In this section, we derive an approximation of the Laplacian for a boundary point. We only consider the case of Neumann boundary conditions as no approximations are needed at the boundaries for Dirichlet boundary ... See full document

... first method uses free-slip conditions on the hull in combination with a hy- brid level-set and VOF interface-capturing ...prove grid resolution near the hull and free-surface inter- ...second method ... See full document

... front method is promising to obtain an unstructured tetrahedral grid in the ...viscous flows, where cells with high aspect ratio are ...front method generates internal grid points from ... See full document

... and integrated radial basis function networks (IRBFNs) for the solution of elliptic differential equations ...Keywords: Integrated RBFs, Point collocation, ... See full document

... applicability and validity by comparing with other numerical and exact solutions he also checked the accuracy and efficiency of reproducing kernel method finding approximate solution of viscoelastic fluid ... See full document

... 2D viscoelastic flow in T-shaped channels using streakline ...a viscoelastic polyacrylamide aqueous solution and a Newtonian dextrose syrup seeded with aluminum ...the viscoelastic distortion in the ... See full document

... Franke and Schaback [7] used RBFs for solving PDEs , Golbabai and Seifollahi [10] used RBFs for solving the second kind integral equations (IEs). Moreover, it has been observed that certain class of RBFs such as ... See full document

... N . We employ here a small time step, t  0 . 001 , to avoid the effect of the approximate error in time. Figure 2 shows the effect of the grid size h on the accuracy of the solution computed at t  1 , from ... See full document