Spectral methods for compressible reactive flows

High order simulations are necessary in order to capture fine details in resolving supersonic reactive flows. However, high Mach number compressible flows feature sharp gradients and discontinuities, which present a challenge to successful simulations using high order methods. Spectral methods have proven a powerful tool in simulation of incompressible turbulent flows, and recent advances allow the application of spectral methods to compressible reactive flows. We review the recent advances in the theory and application of spectral methods which allow stable computations of discontinuous phenomena, and the recovery of high order information via postprocessing, and present applications of high Mach number reactive flows. To cite this article: D. Gottlieb, S. Gottlieb, C. R. Mecanique 333 (2005).     

Einen Apparat zur Bestimmung-der Verbrennungsw?rme

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Zur Bestimmung des Harnstoffs in den Geweben

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R?se's Methode der Milchfettbestimmung

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Uber die capacität von Condensatoren

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Zur Korrektion von Titrierl?sungen mit zu hohem oder zu niedrigem Gehalt

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DIRECT SIMULATION OF DEEP INELASTIC SCATTERING OF HEAVY-IONS (I) ONE PARAMETER DISTRIBUTION

The distributions of dynamic variables in the deep inelastic scattering (DIS) of heavy-ions are studied by a direct simulation technique based on the single-nucleon-transfer-mechanism. The relative motion of the two collision partners is described by a Lagrange equation, and the transition probability of a single nucleon during the interaction time is calculated by the statisti-cal spectroscopy method.The occurrence of the transition event and the corresponding change of the dynamic variables are both treated randomly according to the transition probability. The calculated results for the reaction of ⁴⁰Ar+⁵⁸Ni(E_L=280MeV) are compared with experimental data.     

Canonical quantization of inhomogeneous strings

The canonical quantization procedure for homogeneous nonrelativistic strings is extended to inhomogeneous strings having nonconstant density and tension, in fixed-, free-, and closed-boundary configurations. The general oscillator expansion form of the Hamiltonian is maintained. Possibilities of harmonic spectra and corresponding interactions are explored.