Application of the two-step Lax and Wendroff FCT and the CE-SE method to flow transport in wall-flow monoliths

Abstract

Gas dynamic codes are computational tools applied to the analysis of air management in internal combustion engines. The governing equations in one-dimensional elements are approached assuming compressible unsteady non-homentropic flow and are commonly solved applying finite difference numerical methods. These techniques can also be applied to the calculation of flow transport in complex systems such as wall-flow monoliths. These elements are characterized by alternatively plugged channels with porous walls. It filters the particulates when the flow goes through the wall from the inlet to the outlet channels. Therefore, this process couples the solution of every pair of inlet and outlet channels. In this study, the adaptation of the two-step Lax and Wendroff method and the space-time Conservation Element and Solution Element method is performed to be applied in the solution of flow transport in wall-flow monolith channels. The influence on the prediction ability is analysed by a shock-tube test and experimental data obtained under impulsive flow conditions.

Keywords:

• diesel particulate filter
• shock-capturing methods
• Lax and Wendroff
• CE-SE
• FCT

2010 AMS Subject Classifications:

• 76N15
• 76S05

Acknowledgement

This work has been partially supported by the Spanish Ministerio de Ciencia e Innovación through grant number DPI2010-20891-C02-02.