Assessment of a non-traditional operator split algorithm for simulation of reactive transport

Matthew J. Simpson, Kerry A. Landman and T.Prabhakar Clement

Mathematics and Computers in Simulation (MATCOM), 2005, vol. 70, issue 1, 44-60

Abstract: 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, E. Tadmor, New high-resolution central schemes for non-linear conservation laws and convection-diffusion equations, J. Comput. Phys. 160 (2000) 241–282] to accurately simulate advection-reaction processes. The governing partial differential equation (PDE) is split into two PDEs, which are solved sequentially within each time step. Unlike traditional methods, 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, which behaves differently to the splitting error incurred in traditional OS schemes. Numerical results are presented to illustrate the robustness of the proposed scheme.

Keywords: Operator split; Advection-diffusion-reaction; Central scheme; Reactive transport; Mass balance error (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:70:y:2005:i:1:p:44-60

DOI: 10.1016/j.matcom.2005.03.019

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