Mathematical Modeling in Combustion and Related Topics

This volume contains invited lectures and contributed papers presented at the NATO Advanced Research Workshop on Mathematical Modeling in Combustion and related topics, held in. Lyon (France), April 27 - 30, 1987. This conference was planned to fit in with the two-month visit of Professor G.S.S. Ludford to the Ecole Centrale de Lyon. He kindly agreed to chair the Scientific and Organizing Committee and actively helped to initiate the meeting. His death in December 1986 is an enormous loss to the scientific community in general, and in particular, to the people involved in the present enterprise. The subject of mathematical modeling in combustion is too large for a single conference, and the selection of topics re­ flects both areas of recent research activity and areas of in­ terest to Professor G.S.S. Ludford, to whose memory the Advanced Workshop and this present volume are dedicated. The meeting was divided into seven specialized sessions detonation theory, mathematical analysis, numerical treatment of combustion problems, flame theory, experimental and industrial aspects, complex chemistry, and turbulent combustion. It brought together researchers and engineers from University and Industry (see below the closing remarks of the workshop by Prof. N. Peters). The articles in this volume have been judged and accepted on their scientific quality, and language corrections may have been sacrificed in order to allow quick dissemination of knowledge to prevail.

Inhalt

Reminiscences on the Life and Work of G.S.S. Ludford.- I : Invited Lectures.- A Nonlinear Elliptic Problem Describing the Propagation of a Curved Premixed Flame.- Mathematical Modeling in the Age of Computing : Is it redundant ?.- Combustion and Compressibility in Gases.- Cool Flame Propagation.- Modeling the Chemistry in Flames.- Computer Simulation of 2D/3D Reacting Flows in Complicately Shaped Regions for Engineering.- Radiative Transfer in Unsteady, Weakly Curved, Particle-Laden Flames.- Numerical Simulation of Coherent Structures in Free Shear Flows.- Diffusion Flame Attachment and flame front propagation along mixing layers.- Some Remarks on Turbulent Combustion from the Attractor Point of View.- Grid Requirements Due to the Inner Structure of Premixed Hydrocarbon Flames.- Nonlinear Studies of Low-Frequency Combustion Instabilities.- Nonlinear Effects of Blow Up and Localization Processes in Burning Problems.- Remarks on the Stability Analysis of Reactive Flows.- Experiments with Premixed Flames.- Solution of Two-Dimensional Axisymmetric Laminar Diffusion Flames by Adaptive Boundary Value Methods.- Shock Induced Thermal Explosion.- Influences of Detailed Chemistry on Asymptotic Approximations for Flame Structure.- II : Shorter Papers.- Numerical Study of Particle-Laden Jets: A Lagrangian Approach.- Mathematical Modelisation of Enclosed Combustion at Constant or Variable Pressure by Vibe Law.- Experimental and Numerical Study of a Heated Turbulent Round Jet.- Intérêt des Méthodes de Calculs en Combustion dans le Développement des Foyers de Turboréacteurs.- Characterizing Self-Similar Blow-Up.- Some Finite-Element Investigations of Stiff Combustion Problems : Mesh Adaption and Implicit Time-Stepping.- Modeling of Turbulent Diffusion Flames with Detailed Chemistry.- Kinetic Modelling of Light Hydrocarbons Combustion.- Application de Méthodes Variationnelles à une Combustion Turbulente Prémélangée, Homogène et Stationnaire.- A Minimal Model for Turbulent Flame Fronts.- A Theoretical Study of Air-Solid Two-Phase Flows.- Dynamic Transition of a Self-Igniting Region.- Numerical Model for Turbulent Reactive Flows with Swirl.- Experimental Analysis on the Stability of an Oblique Flame Front.- Vector Computers and Complex Chemistry Combustion.- Numerical Model for Propellant Grain Burning Surface Recession.- Global Existence of Solutions for a Problem in Dynamics of Thermal Explosions.- Eléments Finis Autoadaptatifs à Multimaillages pour le Calcul de Vitesses de Flamme.- Flammes minces et interfaces.- Second Order Remeshing Method in 2D Lagrangian Fluid Dynamics.- On Numerical Analysis of Two-Dimensional, Axisymmetric, Laminar Jet Diffusion Flames.- An Algorithm for Allocation and Temperature, and its Consequences for the Chemistry of H2-O2 Combustion.- Existence and Stability in a Plane Premixed Flame Problem.- Computation of Turbulent Diffusion and Premixed Flames with Radiation.