Verification of Numerical Solutions of the Advection-Diffusion and Burgers Equations

Journal of Applied & Computational Mathematics

article

Carlos Henrique Marchi¹  Arileide Cristina Alves² 

[1] Department of Mechanical Engineering, Federal University of Paraná;Núcleo de CiênciasExatas e Tecnológicas, UniversidadePositivo

关键词: Advection-diffusion;    Burgers;    CFD;    Discretization error;    Order of error;   

DOI  :  10.4172/2168-9679.1000154

来源: Hilaris Publisher

【 摘 要 】

The purpose of this work is to verify the asymptotic order of the discretization error of two one-dimensional problems modeled by the advection-diffusion and Burgers equations. The problems are solved using first and second-order accurate spatial approximations, with and without mixing (hybrid scheme), by deferred correction. It was verified that the accuracy of hybrid schemes is equal to that of the lowest-order pure scheme.

【 授权许可】

Unknown