Ebook: Computational Fluid Dynamics and Reacting Gas Flows

This IMA Volume in Mathematics and its Applications COMPUTATIONAL FLUID DYNAMICS AND REACTING GAS FLOWS is in part the proceedings of a workshop which was an integral part of the 1986-87 IMA program on SCIENTIFIC COMPUTATION. We are grateful to the Scientific Committee: Bjorn Engquist (Chairman), Roland Glowinski, Mitchell Luskin and Andrew Majda for planning and implementing an exciting and stimulating year-long program. We especially thank the Workshop Organizers, Bjorn Engquist, Mitchell Luskin and Andrew Majda, for organizing a workshop which brought together many of the leading researchers in the area of computational fluid dynamics. George R. Sell Hans Weinberger PREFACE Computational fluid dynamics has always been of central importance in scientific computing. It is also a field which clearly displays the essential theme of interaction between mathematics, physics, and computer science. Therefore, it was natural for the first workshop of the 1986- 87 program on scientific computing at the Institute for Mathematics and Its Applications to concentrate on computational fluid dynamics. In the workshop, more traditional fields were mixed with fields of emerging importance such as reacting gas flows and non-Newtonian flows. The workshop was marked by a high level of interaction and discussion among researchers representing varied "schools of thought" and countries.

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This volume contains papers presented at the workshop on Computational Fluid Dynamics and Reacting Gas Flows held at the Institute for Mathematics and Its Applications during September, 1986. Computational fluid dynamics has become a research area of central importance to mathematics, science, and technology. It is a subject which brings together applied mathematics and numerical analysis to solve problems in fluid dynamics. Included in this volume is the description of new algorithms which can make possible the discovery of important new scientific phenomena and the development of new technological processes. This volume will be of interest to mathematicians, scientists, and engineers who are interested in the current research of international leaders in numerical analysis and scientific computing.

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This volume contains papers presented at the workshop on Computational Fluid Dynamics and Reacting Gas Flows held at the Institute for Mathematics and Its Applications during September, 1986. Computational fluid dynamics has become a research area of central importance to mathematics, science, and technology. It is a subject which brings together applied mathematics and numerical analysis to solve problems in fluid dynamics. Included in this volume is the description of new algorithms which can make possible the discovery of important new scientific phenomena and the development of new technological processes. This volume will be of interest to mathematicians, scientists, and engineers who are interested in the current research of international leaders in numerical analysis and scientific computing.
Content:
Front Matter....Pages i-xi
Two-Frequency Rayleigh-Taylor and Richtmyer-Meshkov Instabilities....Pages 1-18
On the Accuracy of Vortex Methods at Large Times....Pages 19-32
Numerical Problems Connected with Weather Prediction....Pages 33-46
Vortex Methods for the Incompressible Euler and Navier-Stokes Equations....Pages 47-68
On the numerical simulation of turbulent flows around vehicles....Pages 69-86
Streamline Diffusion Finite Element Methods for Incompressible and Compressible Fluid Flow....Pages 87-106
Hyperbolicity, Change of Type, Wave Speeds and Related Matters....Pages 107-122
Dynamics of Hot-Spot Evolution in a Reactive, Compressible Flow....Pages 123-150
Numerical Prediction of Internal Flows....Pages 151-167
On the Universal Role of Turbulence in the Propagation of Deflagrations and Detonations....Pages 169-193
Numerical Modeling of the Initiation of Reacting Shock Waves....Pages 195-217
On the Accuracy of Finite Element and Finite Difference Predictions of Non-Newtonian Slot Pressures for a Maxwell Fluid....Pages 219-256
Flame Propagation and Growth to Detonation in Multiphase Flows....Pages 257-289
Computations of Compressible Reactive Flows....Pages 291-305
Computation of Flows Containing Edge Vortices....Pages 307-332
Large Eddy Interaction with Propagating Flames....Pages 333-346

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This volume contains papers presented at the workshop on Computational Fluid Dynamics and Reacting Gas Flows held at the Institute for Mathematics and Its Applications during September, 1986. Computational fluid dynamics has become a research area of central importance to mathematics, science, and technology. It is a subject which brings together applied mathematics and numerical analysis to solve problems in fluid dynamics. Included in this volume is the description of new algorithms which can make possible the discovery of important new scientific phenomena and the development of new technological processes. This volume will be of interest to mathematicians, scientists, and engineers who are interested in the current research of international leaders in numerical analysis and scientific computing.
Content:
Front Matter....Pages i-xi
Two-Frequency Rayleigh-Taylor and Richtmyer-Meshkov Instabilities....Pages 1-18
On the Accuracy of Vortex Methods at Large Times....Pages 19-32
Numerical Problems Connected with Weather Prediction....Pages 33-46
Vortex Methods for the Incompressible Euler and Navier-Stokes Equations....Pages 47-68
On the numerical simulation of turbulent flows around vehicles....Pages 69-86
Streamline Diffusion Finite Element Methods for Incompressible and Compressible Fluid Flow....Pages 87-106
Hyperbolicity, Change of Type, Wave Speeds and Related Matters....Pages 107-122
Dynamics of Hot-Spot Evolution in a Reactive, Compressible Flow....Pages 123-150
Numerical Prediction of Internal Flows....Pages 151-167
On the Universal Role of Turbulence in the Propagation of Deflagrations and Detonations....Pages 169-193
Numerical Modeling of the Initiation of Reacting Shock Waves....Pages 195-217
On the Accuracy of Finite Element and Finite Difference Predictions of Non-Newtonian Slot Pressures for a Maxwell Fluid....Pages 219-256
Flame Propagation and Growth to Detonation in Multiphase Flows....Pages 257-289
Computations of Compressible Reactive Flows....Pages 291-305
Computation of Flows Containing Edge Vortices....Pages 307-332
Large Eddy Interaction with Propagating Flames....Pages 333-346
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