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Organizer:
John D. Buckmaster
University of Illinois-Urbana Champaign
Talbot Laboratory
limey@uiuc.edu
http://www.aae.uiuc.edu/Profs/Buckmaster/Buckmaster.html
In most practical combustion systems, the number of reactions and reactants is very large. It is a serious challenge to construct 2D steady solutions for relatively simple gases such as methane/air. If one is interested in engine chemistry, rocket propellant chemistry; or unsteady 2D or steady 3D problems for simple gases, the chemistry is limiting. Rational simplification of the chemistry, or 'reduced chemistry' is one approach to the problem. So called 'steady state approximations for active radicals', and other such approximations, are made. This can be effective, but there are computational difficulties that arise from the mathematical descriptions that arise. A new strategy is to calculate low dimensional manifolds in reactant space on which the system moves after initial brief transients. This concept arises in a natural way when one looks at the extraordinary variations in time scales of the various reactions. However, there appear to be serious difficulties for spatially dependent problems, which is what flame researchers are interested in. One problem appears to be that the manifold is different at different points.
The minisymposium will bring together combustion researchers who have been wrestling with these issues, and mathematicians (asymptoticists, dynamical systems experts, etc.) to assess the present situation, and if there are avenues to be explored, whether there are difficulties that can be expressed in mathematical terms, and so might have mathematical answers.
Thursday | Friday |
SCHEDULE for THURSDAY, OCTOBER 14 | ||
---|---|---|
8:30 am | Coffee and Registration | Reception Room EE/CS 3-176 |
9:10 am | Willard Miller,
Fred Dulles, and John D. Buckmaster |
Welcome and Introduction |
9:30 am | Sau-Hai Lam
Princeton University |
The Role of Computational Singular Perturbation (CSP) in Chemical Kinetics |
10:00 am | Dimitris Goussis
Institute of Chemical Engineering & High Temperature Chemical Processes |
Development of Manifolds in Reaction-Diffusion Systems: Construction of Reduced Kinetic Mechanisms |
10:30 am | Break | Reception Room EE/CS 3-176 |
11:00 am | Christopher
K.R.T. Jones
Brown University |
Geometric Singular Perturbation Theory |
1:30 pm | Michael
Frenklach
University of California-Berkeley |
Solution Mapping for Numerically Efficient Implementation of Chemical Kinetics |
2:15 pm | Tilmann
Blasenbrey
Universitaet Stuttgart |
Some New Aspects of Efficient Calculation and Implementation of ILDM |
3:15 pm | Break | Reception Room EE/CS 3-176 |
4:30 pm | Linda R. Petzold
University of California-Santa Barbara |
Model Reduction for Chemical Kinetics: An Optimization Approach |
4:30-5:00 pm | Tasso Kaper
Boston University |
Singular Perturbation Theory for Reaction-diffusion PDEs |
SCHEDULE for FRIDAY, OCTOBER 15 | ||
9:15 am | Coffee | Reception Room EE/CS 3-176 |
9:30 am | Peter Lindstedt
Imperial College |
Time Scale Separation and Scalar Space Requirements of Complex Chemical Systems |
10:15 am | John C. Hewson
Sandia National Laboratory |
Applications of Systematically Reduced Mechanisms to Combustion Research |
10:45 am | Break | Reception Room EE/CS 3-176 |
11:15 am | Discussion with Working Lunch | |
1:30 pm | Samuel Paolucci
University of Notre Dame |
The Relationship between Finite-dimensional Manifolds of Reduced Kinetics and Infinite-dimensional Manifolds of Reacting Flows |
2:00 pm | Nelson Butuk
Prairie View A & M University |
New Approach of Computing the Intrinsic Low Dimensional Manifold Reaction Space Via Complex Variables |
2:30 pm | Discussion |
Thursday | Friday |
Fall 1999 IMA Worksh
Name | Department | Affiliation |
---|---|---|
Ioannis Androulakis | Corporate Reseach Science Labs | Exxon Research and Engineering Company |
Tilmann Blasenbrey | Institut fuer Technische Verbrennung ITV | Universitaet Stuttgart |
J.D. Buckmaster | Aeronautical Engineering | University of Illinois at Urbana Champaign |
Nelson Butuk | Prairie View A& M University | |
Fred Dulles | Institute for Mathematics and its Applications | |
Michael Frenklach | Mechanical Engineering | University of California-Berkeley |
Sean C. Garrick | Mechanical Engineering | University of Minnesota |
Dimitris Goussis | Inst. of Chem. Eng. & High Temp. Chem. Processes | |
John C. Hewson | Combustion Research Facility, MS 9051 | Sandia National Laboratory |
Darryl Holm | Los Alamos Laboratory | |
James Hyman | Los Alamos Laboratory | |
Christopher K.R.T. Jones | Applied Mathematics | Brown University |
Tasso Kaper | Mathematics | Boston University |
Yannis Kevrekidis | Chemical Engineering | Princeton University |
Sau-Hai Lam | Princeton University | |
Peter Lindstedt | Mechanical Engineering | Imperial College |
Moshe Matalon | Eng. Sci & Appl. Math | Northwestern University |
James McDonough | Mechanical Engineering | University of Kentucky |
Paul Merz | Chevron Reserach & Technology Company | |
Willard Miller | Institute for Mathematics and its Applications | |
Samuel Paolucci | Aeospace & Mechanical Engineering | University of Notre Dame |
Linda Petzold | Mechanical & Environmental Engineering | University of California-Santa Barbara |
Stephen Pope | Mechanical & Aerospace Eng. | Cornell University |
Fadil Santosa | MCIM | IMA & Minnesota Center for Industrial Math |
Akeel Abbas Shah | Mathematics | UMIST |
Sandeep Singh | Aerospace & Mechanical Engineering | University of Notre Dame |
Mitchell Smooke | Mechanical Engineering | Yale University |
Cynthia Spade | Engineering Sciences & Appld. Math. | Northwestern University |
Song-Moon Suh | Mechanical Engineering | University of Minnesota |
Edriss Titi | Mathematics | University of California - Irvine |
Dion G. Vlachos | Chemical Engineering | University of Massachusetts |