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Viscous Flow Problems (viscous + flow_problem)

Distribution by Scientific Domains

Engineering	100%

Selected Abstracts

Parallel multipole implementation of the generalized Helmholtz decomposition for solving viscous flow problems

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, Issue 11 2003
Mary J. Brown
Abstract The evaluation of a domain integral is the dominant bottleneck in the numerical solution of viscous flow problems by vorticity methods, which otherwise demonstrate distinct advantages over primitive variable methods. By applying a Barnes,Hut multipole acceleration technique, the operation count for the integration is reduced from O(N2) to O(NlogN), while the memory requirements are reduced from O(N2) to O(N). The algorithmic parameters that are necessary to achieve such scaling are described. The parallelization of the algorithm is crucial if the method is to be applied to realistic problems. A parallelization procedure which achieves almost perfect scaling is shown. Finally, numerical experiments on a driven cavity benchmark problem are performed. The actual increase in performance and reduction in storage requirements match theoretical predictions well, and the scalability of the procedure is very good. Copyright © 2003 John Wiley Sons, Ltd. [source]

Three-dimensional incompressible flow calculations using the characteristic based split (CBS) scheme

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, Issue 11 2004
P. Nithiarasu
Abstract In this paper, the characteristic based split scheme is employed for the solution of three-dimensional incompressible viscous flow problems on unstructured meshes. Many algorithm related issues are discussed. Fully explicit and semiimplicit forms of the scheme are explained and employed in the calculation of both isothermal and nonisothermal incompressible flows simulation. The extension of the scheme to porous medium flows is also demonstrated with relevant examples. Copyright © 2004 John Wiley & Sons, Ltd. [source]

A fully implicit method for steady and unsteady viscous flow simulations

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, Issue 2 2003
Jie Li
Abstract In this paper a time-accurate, fully implicit method has been applied to solve a variety of steady and unsteady viscous flow problems. It uses a finite volume cell-centred formulation on structured grids and employs central space discretization with artificial dissipation for the residual computation. In order to obtain a second-order time-accurate implicit scheme, a Newton-like subiteration is performed in the original LU-SGS method to converge the calculations at each physical time step by means of a dual-time approach proposed by Jameson. The numerical experiments show that the present method is very efficient, reliable, and robust for steady and unsteady viscous flow simulations, especially for some low speed flow problems. Copyright © 2003 John Wiley & Sons, Ltd. [source]