Title of article :
Assessment of a non-traditional operator split algorithm for simulation of reactive transport Original Research Article
Author/Authors :
A non-traditional operator split (OS) scheme for the solution of the advection-diffusion-reaction (ADR) equation is proposed. The scheme is implemented with the recently published central scheme [A. Kurganov، نويسنده , , E. Tadmor، نويسنده , , New high-resolution central schemes for non-linear conservation laws and convection-diffusion equations، نويسنده , , J. Comput. Phys. 160 (2000) 241–282] to accurately simulate advection-reaction processes. The governing partial differential equation (PDE) is split into two PDEs، نويسنده , , which are solved sequentially within each time step. Unlike traditional methods، نويسنده , , the proposed scheme provides a very efficient method to solve the ADR equation for any value of the grid-Péclet number. An analytical mass balance error analysis shows that the proposed non-traditional scheme incurs a splitting error، نويسنده , , which behaves differently to the splitting error incurred in traditional OS schemes. Numerical results are presented to illustrate the robustness of the proposed scheme.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2005
Abstract :
Matthew J. Simpson, Kerry A. Landman, T.Prabhakar Clement
Keywords :
Advection-diffusion-reaction , Central scheme , Reactive transport , Operator split , Mass balance error
Journal title :
Mathematics and Computers in Simulation
Journal title :
Mathematics and Computers in Simulation
