Effect of Ten CFD Numerical Schemes on Repeated Richardson Extrapolation (RRE)

Journal of Applied & Computational Mathematics

article

Carlos Henrique Marchi¹  Eduardo Matos Germer¹ 

[1] Federal University of Paraná ,(UFPR) Department of Mechanical Engineering Curitiba

关键词: Richardson extrapolation;    Advection-diffusion equation;    High-order scheme;    Discretization error;    Order of accuracy;    Verification;   

DOI  :  10.4172/2168-9679.1000128

来源: Hilaris Publisher

【 摘 要 】

The main objective of this work is to evaluate the performance of RRE in reducing the discretization error when associated with ten types of CFD numerical schemes of first, second and third orders of accuracy. The onedimensional advection-diffusion equation is solved with the finite volume method, for five values of the Peclet number (Pe), with uniform grids of 5 to 23,914,845 volumes, allowing for up to 14 RRE. Results are obtained for temperature at the center of the domain, average of the temperature field, and heat transfer rate. It was found that: (1) RRE is extremely effective in reducing the discretization error for all the variables, numerical schemes and Pe, reaching an order of accuracy of up to 18.9; and (2) The second-order central difference scheme together with RRE is the one that presents the smallest error for the dependent variable.

【 授权许可】

Unknown