Computation of a Passive Scalar in a Flow Field by Using Unstructured Grid Method.

Autor: Abdelkader, Slimani, Abdellah, Belkacem, Mebrouk, Rebhi
Předmět:
Zdroj: International Review on Modelling & Simulations; Oct2010, Vol. 3 Issue 5, p1023-1028, 6p, 4 Diagrams, 2 Charts, 3 Graphs
Abstrakt: A finite volume method for quadrilaterals unstructured mesh is developed to predict the two dimensional steady-state solutions of advection-diffusion equation. In this scheme, based on the integration around the polygonal control volume, the derivatives of the advection-diffusion equation must be converted into closed line integrals using same formulation of the Stokes theorem. To valid the accuracy of the method two numerical experiments with known analytical solutions are used: Advection-Diffusion in rotating annular region and advection-diffusion in an annulus (cases with curved boundaries). The numerical results show good agreement with analytical results. To demonstrate the order of accuracy, the average absolute percentage error versus the grid size is examined quantitatively. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index