2016/08/31 by Peter Knabner, Knabner, Peter, Gerhard Summ +1
Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Combustion and flame dynamics #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Numerical Analysis (math.NA) #Radiative Heat Transfer Studies
paper · pdf · doi:10.48550/arxiv.1608.08817
openalex publication_date 2016/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present an algorithm for the numerical solution of the equations governing combustion in porous inert media. The discretization of the flow problem is performed by the mixed finite element method, the transport problems are discretized by a cell-centered finite volume method. The resulting nonlinear equations are lineararized with Newton's method, the linearized systems are solved with a multigrid algorithm. Both subsystems are recoupled again in a Picard iteration. Numerical simulations based on a simplified model show how regions with different porosity stabilize the reaction zone inside the porous burner.