A Parallel Meshless Numerical Approach for the Solution of Transport Phenomena
نویسنده
چکیده
The application of the local meshless numerical method (LRBFCM) for solving a system of coupled partial differential equations (PDE) is explored. The numerical approach is tested on the natural convection based fluid flow problems. The fluid flow part of the solution procedure is coupled locally despite its global nature. Such an approach makes the computations convenient for an implementation on parallel computers. In this paper, the OpenMP based parallelization of the proposed numerical approach is demonstrated. On two cores, a superlinear speedup of 2.5 is confirmed by the performance analysis. The parallelization performance is explored for the classical de Vahl Davis natural convection case. The usability of the meshless numerical framework is demonstrated on highly non-linear and coupled case of solidification of binary alloy, where energy and solute transport govern double natural convection in a domain filled with porous media and free fluid with moving interphases.
منابع مشابه
Implicit RBF Meshless Method for the Solution of Two-dimensional Variable Order Fractional Cable Equation
In the present work, the numerical solution of two-dimensional variable-order fractional cable (VOFC) equation using meshless collocation methods with thin plate spline radial basis functions is considered. In the proposed methods, we first use two schemes of order O(τ2) for the time derivatives and then meshless approach is applied to the space component. Numerical results obtained ...
متن کاملA numerical solution of mixed Volterra Fredholm integral equations of Urysohn type on non-rectangular regions using meshless methods
In this paper, we propose a new numerical method for solution of Urysohn two dimensional mixed Volterra-Fredholm integral equations of the second kind on a non-rectangular domain. The method approximates the solution by the discrete collocation method based on inverse multiquadric radial basis functions (RBFs) constructed on a set of disordered data. The method is a meshless method, because it ...
متن کاملA Meshless Method for Numerical Solution of Fractional Differential Equations
In this paper, a technique generally known as meshless numerical scheme for solving fractional dierential equations isconsidered. We approximate the exact solution by use of Radial Basis Function(RBF) collocation method. This techniqueplays an important role to reduce a fractional dierential equation to a system of equations. The numerical results demonstrate the accuracy and ability of this me...
متن کاملMultiple Solutions for Slip Effects on Dissipative Magneto-Nanofluid Transport Phenomena in Porous Media: Stability Analysis
In the present paper, a numerical investigation of transport phenomena is considered in electrically-conducting nanofluid flow within a porous bed utilizing Buongiorno’s transport model and Runge-Kutta-Fehlberg fourth-fifth order method. Induced flow by non-isothermal stretching/shrinking sheet along with magnetic field impact, dissipation effect, and slip conditions at the surface are...
متن کاملA truly meshless method formulation for analysis of non-Fourier heat conduction in solids
The non-Fourier effect in heat conduction is important in strong thermal environments and thermal shock problems. Generally, commercial FE codes are not available for analysis of non-Fourier heat conduction. In this study, a meshless formulation is presented for the analysis of the non-Fourier heat conduction in the materials. The formulation is based on the symmetric local weak form of the sec...
متن کامل