Flux-limiting solution techniques for simulation of reaction–diffusion–convection system

✍ Scribed by Khalid Alhumaizi

• Book ID: 104012070
• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 718 KB
• Volume: 12
• Category: Article
• ISSN: 1007-5704
• DOI: 10.1016/j.cnsns.2005.11.005

✦ Synopsis

The aim of this work is to analyze the use of a number of flux-limiters to simulate numerically the behavior of a homogeneous tubular reactor which exhibits steep moving fronts. The strength and limitations of five different flux-limiters are examined for different test cases. All flux-limiters are found successful in capturing the steep concentration profiles. The simulations show that the minmod and MUSCL flux-limiter are more appropriate for the convection-diffusion case. On the other hand, the superbee limiter shows the best performance in capturing discontinuities in the convection-diffusion-reaction case.