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| Author | : Institute for Computer Applications in Science and Engineering |
| Publisher | : |
| Total Pages | : 28 |
| Release | : 1993 |
| Genre | : |
| ISBN | : |
| Author | : John Buckmaster |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 639 |
| Release | : 2012-12-06 |
| Genre | : Technology & Engineering |
| ISBN | : 9401110506 |
This volume contains the proceedings of the Workshop on Com bustion, sponsored by the Institute for Computer Applications in Science and Engineering (ICASE) and the NASA Langley Research Center (LaRC). It was held on October 12-14, 1992, and was the sec ond workshop in the series on the subject. The first was held in 1989, and its proceedings were published by Springer-Verlag under the title "Major Research Topics in Combustion," edited by M. Y. Hussaini, A. Kumar, and R. G. Voigt. The focus of the second workshop was directed towards the development, analysis, and application of basic models in high speed propulsion of particular interest to NASA. The exploration of a dual approach combining asymptotic and numerical methods for the analysis of the models was particularly encouraged. The objectives of this workshop were i) the genesis of models that would capture or reflect the basic pllysical phenomena in SCRAMJETs and/or oblique detonation-wave engines (ODWE), and ii) the stimulation of a greater interaction between NASA exper imental research community and the academic community. The lead paper by D. Bushnell on the status and issues of high speed propulsion relevant to both the SCRAMJET and the ODWE parallels his keynote address which set the stage of the workshop. Following the lead paper were five technical sessions with titles and chairs: Experiments (C. Rogers), Reacting Free Shear Layers (C. E. Grosch), Detonations (A. K. Kapila), Ignition and Struc ture (J. Buckmaster), and Unsteady Behaviour ('1'. L. Jackson).
| Author | : Gabi Ben-Dor |
| Publisher | : Elsevier |
| Total Pages | : 2188 |
| Release | : 2000-10-18 |
| Genre | : Science |
| ISBN | : 0080533728 |
The Handbook of Shock Waves contains a comprehensive, structured coverage of research topics related to shock wave phenomena including shock waves in gases, liquids, solids, and space. Shock waves represent an extremely important physical phenomena which appears to be of special practical importance in three major fields: compressible flow (aerodynamics), materials science, and astrophysics. Shock waves comprise a phenomenon that occurs when pressure builds to force a reaction, i.e. sonic boom that occurs when a jet breaks the speed of sound.This Handbook contains experimental, theoretical, and numerical results which never before appeared under one cover; the first handbook of its kind.The Handbook of Shock Waves is intended for researchers and engineers active in shock wave related fields. Additionally, R&D establishments, applied science & research laboratories and scientific and engineering libraries both in universities and government institutions. As well as, undergraduate and graduate students in fluid mechanics, gas dynamics, and physics. Key Features* Ben-Dor is known as one of the founders of the field of shock waves* Covers a broad spectrum of shock wave research topics* Provides a comprehensive description of various shock wave related subjects* First handbook ever to include under one separate cover: experimental, theoretical, and numerical results
| Author | : Chibuikem Ajaero |
| Publisher | : |
| Total Pages | : |
| Release | : 2019 |
| Genre | : |
| ISBN | : |
Detonation waves are a challenging field of study given the short time and length scales involved in the phenomenon. Such waves exhibit a complex structure consisting of a lead shock and shock waves travelling transversely to a detonation's normal propagation direction. The interaction between the shocks and the rapid chemical reactions they trigger results in the emergence of a natural length scale, the detonation cell size. There are still no complete theory or model that can accurately predict the cell size or a detonation waves initiation, propagation and failure dynamics. The numerical simulation of detonation waves is also challenging, due to the rapid reaction rates encountered. The Open source Field Operation And Manipulation (OpenFOAM) framework, commonly referred to as OpenFOAM, Computational Fluid Mechanics (CFD) package is increasingly used and referenced. One drawback of the stock OpenFOAM package is that the only finite volume numerical scheme available for the solution of the Euler equations in conservative form is the Kuganov-Tadmor (KT)/Kuganov-Noelle-Petrova (KNP) numerical scheme. Moreover, combustion is not implemented, hence which needs to be modified to simulate detonation waves; a coupling of compressible flows and reaction. This particular scheme is 2nd order accurate in smooth region based on the idea behind the Lax-Friedrichs scheme and which does not involve the solution to a Riemann problem in order to evaluate the intercell fluxes. This is unlike the methods currently used in detonation research, which nearly always consist of Godunov-type schemes with an approximate Riemann Solver such as Harten-Lax-van Leer-Contact (HLLC). OpenFOAM, with the KNP scheme, was recently used to simulate the two-dimensional structure of detonation waves despite having not been fully validated for the detonation simulation. Efforts to get access to the codes used proved abortive. In this work, we create a custom solver named rhoCentralFoamreac which we used to evaluate (validate) the KNP scheme for detonation cases, by simulating a standard 1D detonation case that usually results in pulsating propagation with a single mode. Metrics for detailed comparison and convergence studies are the oscillation peak pressure and period. Using the KNP scheme, we then examine OpenFoam as a CFD tool for the simulation of a detonation based engine, where an initiated wave propagates circumferentially in a combustion chamber, commonly referred to as a rotating detonation engine. We study the effect of different ignition methods, and initiation flow fields (subsonic and supersonic) on the formation of these rotating detonation waves.
| Author | : Heinrich Freistühler |
| Publisher | : Birkhäuser |
| Total Pages | : 481 |
| Release | : 2013-12-01 |
| Genre | : Mathematics |
| ISBN | : 3034883706 |
The Eighth International Conference on Hyperbolic Problems - Theory, Nu merics, Applications, was held in Magdeburg, Germany, from February 27 to March 3, 2000. It was attended by over 220 participants from many European countries as well as Brazil, Canada, China, Georgia, India, Israel, Japan, Taiwan, und the USA. There were 12 plenary lectures, 22 further invited talks, and around 150 con tributed talks in parallel sessions as well as posters. The speakers in the parallel sessions were invited to provide a poster in order to enhance the dissemination of information. Hyperbolic partial differential equations describe phenomena of material or wave transport in physics, biology and engineering, especially in the field of fluid mechanics. Despite considerable progress, the mathematical theory is still strug gling with fundamental open problems concerning systems of such equations in multiple space dimensions. For various applications the development of accurate and efficient numerical schemes for computation is of fundamental importance. Applications touched in these proceedings concern one-phase and multiphase fluid flow, phase transitions, shallow water dynamics, elasticity, extended ther modynamics, electromagnetism, classical and relativistic magnetohydrodynamics, cosmology. Contributions to the abstract theory of hyperbolic systems deal with viscous and relaxation approximations, front tracking and wellposedness, stability ofshock profiles and multi-shock patterns, traveling fronts for transport equations. Numerically oriented articles study finite difference, finite volume, and finite ele ment schemes, adaptive, multiresolution, and artificial dissipation methods.
| Author | : |
| Publisher | : |
| Total Pages | : 18 |
| Release | : 1998 |
| Genre | : |
| ISBN | : |
| Author | : Gerald Warnecke |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 541 |
| Release | : 2005-12-05 |
| Genre | : Mathematics |
| ISBN | : 3540279075 |
Whatdoasupernovaexplosioninouterspace,?owaroundanairfoil and knocking in combustion engines have in common? The physical and chemical mechanisms as well as the sizes of these processes are quite di?erent. So are the motivations for studying them scienti?cally. The super- 8 nova is a thermo-nuclear explosion on a scale of 10 cm. Astrophysicists try to understand them in order to get insight into fundamental properties of the universe. In ?ows around airfoils of commercial airliners at the scale of 3 10 cm shock waves occur that in?uence the stability of the wings as well as fuel consumption in ?ight. This requires appropriate design of the shape and structure of airfoils by engineers. Knocking occurs in combustion, a chemical 1 process, and must be avoided since it damages motors. The scale is 10 cm and these processes must be optimized for e?ciency and environmental conside- tions. The common thread is that the underlying ?uid ?ows may at a certain scale of observation be described by basically the same type of hyperbolic s- tems of partial di?erential equations in divergence form, called conservation laws. Astrophysicists, engineers and mathematicians share a common interest in scienti?c progress on theory for these equations and the development of computational methods for solutions of the equations. Due to their wide applicability in modeling of continua, partial di?erential equationsareamajor?eldofresearchinmathematics. Asubstantialportionof mathematical research is related to the analysis and numerical approximation of solutions to such equations. Hyperbolic conservation laws in two or more spacedimensionsstillposeoneofthemainchallengestomodernmathematics.
| Author | : Henri Berestycki |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 525 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 9401003076 |
Nonlinear partial differential equations abound in modern physics. The problems arising in these fields lead to fascinating questions and, at the same time, progress in understanding the mathematical structures is of great importance to the models. Nevertheless, activity in one of the approaches is not always sufficiently in touch with developments in the other field. The book presents the joint efforts of mathematicians and physicists involved in modelling reactive flows, in particular superconductivity and superfluidity. Certain contributions are fundamental to an understanding of such cutting-edge research topics as rotating Bose-Einstein condensates, Kolmogorov-Zakharov solutions for weak turbulence equations, and the propagation of fronts in heterogeneous media.
| Author | : Institute for Computer Applications in Science and Engineering. (ICASE) |
| Publisher | : |
| Total Pages | : 36 |
| Release | : 1999 |
| Genre | : |
| ISBN | : |
| Author | : Edwige Godlewski |
| Publisher | : Springer Nature |
| Total Pages | : 846 |
| Release | : 2021-08-28 |
| Genre | : Mathematics |
| ISBN | : 1071613448 |
This monograph is devoted to the theory and approximation by finite volume methods of nonlinear hyperbolic systems of conservation laws in one or two space variables. It follows directly a previous publication on hyperbolic systems of conservation laws by the same authors. Since the earlier work concentrated on the mathematical theory of multidimensional scalar conservation laws, this book will focus on systems and the theoretical aspects which are needed in the applications, such as the solution of the Riemann problem and further insights into more sophisticated problems, with special attention to the system of gas dynamics. This new edition includes more examples such as MHD and shallow water, with an insight on multiphase flows. Additionally, the text includes source terms and well-balanced/asymptotic preserving schemes, introducing relaxation schemes and addressing problems related to resonance and discontinuous fluxes while adding details on the low Mach number situation.
