Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

Operator-splitting methods for transport equations with nonlinear reactions

Richard E. Ewinga, Jürgen Geiserb,*, Jiangguo Liua
aInstitute for Scientific Computation, Texas A&M University, College Station, TX 77843-3404, USA
bWIAS, Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, D-10117 Berlin, Germany

  Full Text
In our paper we describe an operator-splitting method for a transport and nonlinear reaction equation with mixed discretization methods. We concentrate on adequate discretization methods by using the characteristic method for the convection–reaction equation with nonlinear reaction, and by using standard finite volume methods for the diffusion equation. We propose some new strategies based on efficient implementations for the operator-splitting method. Numerical results are included to demonstrate the performance of our methods.

Keywords:  Adaptive methods; Disrupted and adaptive algorithms; Characteristic methods; Object and dynamic library concept

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