Improved simulation of transient engine operations at unsteady speed combining 1-D and 3-D modeling

Document Type

Conference Proceeding

Publication Date



Department of Mathematical Sciences


The new simulation tool consists of an iterative loop of a 3-D code in parallel to a 1-D code that is employed to simulate transient engine cycles. The 1-D code yields the basic pattern of initial and boundary conditions and the 3-D simulations at several typical engine operating points are used to crosscheck the performance as well as aid in the model calibration. A flexible regression model of the fuel burn rate and the associated ROHR has been developed in conjunction with the 3-D simulations using a combination of three added Vibe functions. The emissions at the end of the expansion stroke are also predicted. The parameters of the Vibe functions and emissions are found via nonlinear regression based on state parameters such as engine speed, relative A/F ratio, EGR/rest gas contents, injection timings, etc. Additional 3-D simulations that are made at specific engine operating points complement this compact burn rate parameter library. This improved model has been used to study the speed-load response of a generator set driven by a medium-speed diesel engine.

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Copyright © 2009 SAE International. Publisher’s version of record:

Publication Title

SAE Technical Papers