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Original Articles

A general algorithm for improving ILDMs

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Pages 697-709 | Received 11 Jun 2002, Published online: 15 May 2007

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A. Neagos, V. Bykov & U. Maas. (2014) Study of Extinction Limits of Diluted Hydrogen-Air Counter-Flow Diffusion Flames with the Redim Method. Combustion Science and Technology 186:10-11, pages 1502-1516.
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M. Wang, A. Frisque, J. Huang & W.K. Bushe. (2008) Trajectory generated low-dimensional manifolds generated using the stochastic particle model. Combustion Theory and Modelling 12:2, pages 249-267.
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V. Bykov & U. Maas. (2007) The extension of the ILDM concept to reaction–diffusion manifolds. Combustion Theory and Modelling 11:6, pages 839-862.
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Prashant Shrotriya, Robert Schießl, Chunkan Yu, Viatcheslav Bykov, Thorsten Zirwes & Ulrich Maas. An iterative methodology for REDIM reduced chemistry generation and its validation for partially-premixed combustion. Combustion Theory and Modelling 0:0, pages 1-34.
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Articles from other publishers (30)

Adelaida O. Conza & Álvaro L. de Bortoli. (2022) Modeling and simulation of diffusion flames of $${\text {H}}_{2}$$ and methyl formate using the REDIM method. Journal of Mathematical Chemistry 60:3, pages 562-580.
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Ulrich Maas. (2020) Some Aspects of Time-Reversal in Chemical Kinetics. Entropy 22:12, pages 1386.
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Marc-Sebastian Benzinger, Robert Schießl & Ulrich Maas. (2017) A versatile coupled progress variable/REDIM model for auto-ignition and combustion. Proceedings of the Combustion Institute 36:3, pages 3613-3621.
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K.D. Mease, U. Topcu, E. Aykutluğ & M. Maggia. (2016) Characterizing two-timescale nonlinear dynamics using finite-time Lyapunov exponents and subspaces. Communications in Nonlinear Science and Numerical Simulation 36, pages 148-174.
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T. Turányi. 2016. Reference Module in Chemistry, Molecular Sciences and Chemical Engineering. Reference Module in Chemistry, Molecular Sciences and Chemical Engineering.
Alessandro Ceccato, Paolo Nicolini & Diego Frezzato. (2015) Features in chemical kinetics. III. Attracting subspaces in a hyper-spherical representation of the reactive system. The Journal of Chemical Physics 143:22.
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K. U. Kristiansen, M. Brøns & J. Starke. (2014) An Iterative Method for the Approximation of Fibers in Slow-Fast Systems. SIAM Journal on Applied Dynamical Systems 13:2, pages 861-900.
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Tamás Turányi & Alison S. TomlinTamás Turányi & Alison S. Tomlin. 2014. Analysis of Kinetic Reaction Mechanisms. Analysis of Kinetic Reaction Mechanisms 183 312 .
Ulrich Maas & Alison S. Tomlin. 2013. Cleaner Combustion. Cleaner Combustion 467 484 .
Eliodoro Chiavazzo. (2012) Approximation of slow and fast dynamics in multiscale dynamical systems by the linearized Relaxation Redistribution Method. Journal of Computational Physics 231:4, pages 1751-1765.
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Eliodoro Chiavazzo & Ilya Karlin. (2011) Adaptive simplification of complex multiscale systems. Physical Review E 83:3.
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U. Maas & V. Bykov. (2011) The extension of the reaction/diffusion manifold concept to systems with detailed transport models. Proceedings of the Combustion Institute 33:1, pages 1253-1259.
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Dimitris A. Goussis & Ulrich Maas. 2011. Turbulent Combustion Modeling. Turbulent Combustion Modeling 193 220 .
Viatcheslav Bykov & Ulrich Maas. 2011. Computational Science and High Performance Computing IV. Computational Science and High Performance Computing IV 233 252 .
Tianfeng Lu & Chung K. Law. (2009) Toward accommodating realistic fuel chemistry in large-scale computations. Progress in Energy and Combustion Science 35:2, pages 192-215.
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Bogdan Dorneanu, Costin Sorin Bildea & Johan Grievink. (2009) On the application of model reduction to plantwide control. Computers & Chemical Engineering 33:3, pages 699-711.
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B. Merci, B. Naud, D. Roekaerts & U. Maas. (2008) Joint Scalar versus Joint Velocity-Scalar PDF Simulations of Bluff-Body Stabilized Flames with REDIM. Flow, Turbulence and Combustion 82:2, pages 185-209.
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Ulrich Maas, Viatcheslav Bykov, Andriy Rybakov & Rainer Stauch. 2009. High Performance Computing on Vector Systems 2008. High Performance Computing on Vector Systems 2008 111 127 .
Michael J. Davis & Alison S. Tomlin. (2008) Spatial Dynamics of Steady Flames 2. Low-Dimensional Manifolds and the Role of Transport Processes. The Journal of Physical Chemistry A 112:34, pages 7784-7805.
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Michael J. Davis & Alison S. Tomlin. (2008) Spatial Dynamics of Steady Flames 1. Phase Space Structure and the Dynamics of Individual Trajectories. The Journal of Physical Chemistry A 112:34, pages 7768-7783.
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Chung Law & Tianfeng Lu. (2008) Towards Accomodating Realistic Fuel Chemistry in Large-Scale Computations. Towards Accomodating Realistic Fuel Chemistry in Large-Scale Computations.
A. Adrover, F. Creta, S. Cerbelli, M. Valorani & M. Giona. (2007) The structure of slow invariant manifolds and their bifurcational routes in chemical kinetic models. Computers & Chemical Engineering 31:11, pages 1456-1474.
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Chung K. Law. (2007) Combustion at a crossroads: Status and prospects. Proceedings of the Combustion Institute 31:1, pages 1-29.
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Marc R. Roussel & Terry Tang. (2006) The functional equation truncation method for approximating slow invariant manifolds: A rapid method for computing intrinsic low-dimensional manifolds. The Journal of Chemical Physics 125:21.
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Dimitris A. Goussis & Mauro Valorani. (2006) An efficient iterative algorithm for the approximation of the fast and slow dynamics of stiff systems. Journal of Computational Physics 214:1, pages 316-346.
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Ravishankar Rao Vallabhajosyula, Vijay Chickarmane & Herbert M. Sauro. (2006) Conservation analysis of large biochemical networks. Bioinformatics 22:3, pages 346-353.
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A. Adrover, F. Creta, M. Giona, M. Valorani & V. Vitacolonna. (2006) Natural tangent dynamics with recurrent biorthonormalizations: A geometric computational approach to dynamical systems exhibiting slow manifolds and periodic/chaotic limit sets. Physica D: Nonlinear Phenomena 213:2, pages 121-146.
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Simon J. Fraser. (2005) Symbolic methods for invariant manifolds in chemical kinetics. International Journal of Quantum Chemistry 106:1, pages 228-243.
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Mauro Valorani, Dimitris A. Goussis, Francesco Creta & Habib N. Najm. (2005) Higher order corrections in the approximation of low-dimensional manifolds and the construction of simplified problems with the CSP method. Journal of Computational Physics 209:2, pages 754-786.
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D. Lebiedz. (2004) Computing minimal entropy production trajectories: An approach to model reduction in chemical kinetics. The Journal of Chemical Physics 120:15, pages 6890-6897.
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