A finite volume–finite difference method with a stiff ordinary differential equation solver for advection–diffusion–reaction equation

Abstract

A model for atmospheric pollutant transport is proposed considering an advection–diffusion–reaction equation. A splitting method is used to decouple the advection, diffusion and reaction parts. A scheme based on finite volume, finite difference and backward differentiation formula is used for solving an atmospheric transport-chemistry problem.

Keywords:

• advection
• diffusion
• splitting
• reactions
• stiff differential equations

2000 AMS Subject Classifications:

• 65M06
• 65M99
• 76M12
• 65L05