Investigation of a Semi-Implicit Multigrid Method for Reacting Flows

Abstract

Numeric flow simulations show their capabilities mainly for flows without chemical reactions. Here a code for simulation of 1D reactingflows has been investigated. It is based on a semi-implicit time discretization scheme and uses upwind spatial discretization and a full multigrid method. Especially, the Jacobian matrix and its in- version have been examined. Code modifications have been implemented in order to check the accuracy of the numerical results. Programming numerical process to check the analytic elements of the source Jacobian matrix was the most notable occupation of the investigation,hence it has been described in details within present report. Coding errors have been corrected and the modifications have been checked. There is now no uncertainty left about the numerical results obtainedafter this check.