1. Date of download: 6/2/2016 Copyright © ASME. All rights reserved. From: Dynamic Modeling of Residual-Affected Homogeneous Charge Compression Ignition Engines with Variable Valve Actuation J. Dyn. Sys., Meas., Control. 2004;127(3):374-381. doi:10.1115/1.1979511 Valve mass flows: left—induction flows with intake and exhaust valves open, center—exhaust flow, right—valve timings Figure Legend:

2. Date of download: 6/2/2016 Copyright © ASME. All rights reserved. From: Dynamic Modeling of Residual-Affected Homogeneous Charge Compression Ignition Engines with Variable Valve Actuation J. Dyn. Sys., Meas., Control. 2004;127(3):374-381. doi:10.1115/1.1979511 Temperature threshold approach: Simulated HCCI combustion during steady state: dashed—simulation, solid—experiment; left— IVO∕EVC=25∕165, middle—IVO∕EVC=45∕185, right—IVO∕EVC=65∕205 Figure Legend:

3. Date of download: 6/2/2016 Copyright © ASME. All rights reserved. From: Dynamic Modeling of Residual-Affected Homogeneous Charge Compression Ignition Engines with Variable Valve Actuation J. Dyn. Sys., Meas., Control. 2004;127(3):374-381. doi:10.1115/1.1979511 Integrated Arrhenius rate threshold approach: Simulated HCCI combustion during steady state: dashed—simulation, solid— experiment; left—IVO∕EVC=25∕165, middle—IVO∕EVC=45∕185, right—IVO∕EVC=65∕205 Figure Legend:

4. Date of download: 6/2/2016 Copyright © ASME. All rights reserved. From: Dynamic Modeling of Residual-Affected Homogeneous Charge Compression Ignition Engines with Variable Valve Actuation J. Dyn. Sys., Meas., Control. 2004;127(3):374-381. doi:10.1115/1.1979511 Knock integral threshold approach: Simulated HCCl combustion during steady state: dashed—simulation, solid—experiment; left— IVO∕EVC=25∕165, middle—IVO∕EVC=45∕185, right—IVO∕EVC=65∕205 Figure Legend:

5. Date of download: 6/2/2016 Copyright © ASME. All rights reserved. From: Dynamic Modeling of Residual-Affected Homogeneous Charge Compression Ignition Engines with Variable Valve Actuation J. Dyn. Sys., Meas., Control. 2004;127(3):374-381. doi:10.1115/1.1979511 Simulated HCCl combustion over a valve timing change: top—experiment, bottom—simulation Figure Legend: