# Computationally Efficient Simulation of Multicomponent Fuel Combustion Using a Sparse Analytical Jacobian Chemistry Solver and High-Dimensional Clustering

##### Citations

^{1}, Chevron Corporation

^{2}, Pacific Northwest National Laboratory

^{3}, National Institute of Standards and Technology

^{4}, Natural Resources Canada

^{5}, United States Army Research Laboratory

^{6}, Marathon Oil

^{7}, Lawrence Livermore National Laboratory

^{8}, National Renewable Energy Laboratory

^{9}

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### Cites methods from "Computationally Efficient Simulatio..."

...This approach allows a reduction in 121 CPU times by almost two orders of magnitude in ignition delay calculations 122 using a reaction mechanism with about three thousand species [34], and was 123 capable of reducing the total CPU time of practical internal combustion en124 gine simulations with skeletal reaction mechanisms by almost one order of 125 magnitude in comparison with a traditional, dense-algebra-based reference 126 approach [35, 36]....

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26 citations

### Cites background from "Computationally Efficient Simulatio..."

...A summary of the existing surrogate models to represent diesel fuel can be found in the references.(101,195,220) Recently, more precise multi component surrogate models have been proposed to represent biodiesel fuel characteristics....

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12 citations

##### References

3,517 citations

1,614 citations

### "Computationally Efficient Simulatio..." refers methods in this paper

...Distance between points in the high-dimensional domain is accomplished by using the ‘Manhattan’, or ‘taxicab’ formulation, that is acknowledged to provide the best results when clustering high-dimensional datasets [35]....

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1,601 citations

### "Computationally Efficient Simulatio..." refers methods in this paper

...CHEMKIN-II [25] or by the SpeedCHEM [12] chemistry solver....

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...[12] 2) CHEMKIN-II [25]...

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...Multi-step predictor-corrector methods, such as VODE [12] and LSODE [13], are fast and reliable for integrating chemistry problems in combustion as they employ an explicit (predictor) step to produce an estimate of the solution at the next time value, and then iterating implicit step equation (corrector) to convergence....

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1,279 citations

### "Computationally Efficient Simulatio..." refers methods in this paper

...CPU time comparison of the adiabatic constant volume problem ODE functions using the SpeedCHEM package, at different reaction mechanism dimensions [19,20,4,21,22,23]....

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