Technical Report 244, c4e-Preprint Series, Cambridge

Authors: Shaohua Wu, Chung Ting Lao, Jethro Akroyd, Sebastian Mosbach, Wenming Yang, and Markus Kraft*

Reference: Technical Report 244, c4e-Preprint Series, Cambridge, 2019

Associated Themes:
 

• An efficient numerical approach for soot simulation in diesel engines is developed.
• This new approach is accurate, easy to implement and computationally cheap.
• It is based on an advanced method of moments to treat the detailed soot model.
• It enables a detailed analysis in soot formation in diesel engines at low CPU cost.

A joint moment projection method (MPM) and maximum entropy (ME) approach for treating the soot population balance equations (PBEs) is developed and presented in this work. MPM is used to solve the PBEs and generate moments that are supplied to ME as a post-processing technique to reconstruct the soot particle size distribution (PSD). The particle size range required by ME for PSD reconstruction is determined based on the weighted particles generated in MPM. The performance of the joint MPM-ME approach is first evaluated by solving a set of simplified PBEs on MatLab, then it is implemented into a Stochastic Reactor Model (SRM) engine code to simulate the formation and oxidation of soot particles in a single-cylinder direct injection diesel engine. Results suggest that the MPM-ME approach has the advantages of ease of implementation, high accuracy and low computational cost. It enables a detailed analysis on the soot formation and oxidation processes in diesel engines. Complete information on the soot PSD can be provided with little CPU cost induced.

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