scholarly journals PERTURBATION ANALYSIS OF ONE-DIMENSIONAL HETEROGENEOUS FLOW IN ROCKET NOZZLES

1962 ◽  
pp. 117-144 ◽  
Author(s):  
W.D. Rannie
Keyword(s):  
Perturbation Analysis ◽  
One Dimensional ◽  
Heterogeneous Flow

scholarly journals Computational modeling of classical and ablative Rayleigh–Taylor instabilities

2000 ◽  
Vol 18 (4) ◽  
pp. 583-593 ◽  
Author(s):  
W.M. WOOD-VASEY ◽  
K.S. BUDIL ◽  
B.A. REMINGTON ◽  
S.G. GLENDINNING ◽  
A.M. RUBENCHIK ◽  
...  
Keyword(s):  
Perturbation Analysis ◽  
Radiation Hydrodynamics ◽  
Saturation Model ◽  
Third Order ◽  
One Dimensional ◽  
Hydrodynamic Motion ◽  
Indirect Drive ◽  
The One ◽  
Ablation Front ◽  
Good Agreement

Modeling plus simulations using the one-dimensional Lagrangian radiation-hydrodynamics code HYADES are compared with data from classical and ablative Rayleigh–Taylor experiments conducted on the Nova laser. Comparisons between the experiments and modeling for both the gross hydrodynamic motion and the perturbation evolution are made and show good agreement. A third order perturbation analysis is applied to demonstrate the onset of nonlinearity. A simple, physically intuitive saturation model is used to describe the growth further into the nonlinear regime. Finally, we present the first comparison of the Betti ablation front theory with indirect-drive RT data and obtain good agreement.

A Perturbation Approach for Predicting Wave Propagation in One-Dimensional Nonlinear Periodic Structures

2010 ◽  
Vol 132 (3) ◽  
Author(s):  
Raj K. Narisetti ◽  
Michael J. Leamy ◽  
Massimo Ruzzene
Keyword(s):  
Wave Propagation ◽  
Numerical Simulations ◽  
Perturbation Analysis ◽  
Periodic Structures ◽  
Harmonic Wave ◽  
Dispersion Relations ◽  
Perturbation Approach ◽  
One Dimensional ◽  
Chain Unit ◽  
Unit Cells

Wave propagation in one-dimensional nonlinear periodic structures is investigated through a novel perturbation analysis and accompanying numerical simulations. Several chain unit cells are considered featuring a sequence of masses connected by linear and cubic springs. Approximate closed-form, first-order dispersion relations capture the effect of nonlinearities on harmonic wave propagation. These relationships document amplitude-dependent behavior to include tunable dispersion curves and cutoff frequencies, which shift with wave amplitude. Numerical simulations verify the dispersion relations obtained from the perturbation analysis. The simulation of an infinite domain is accomplished by employing viscous-based perfectly matched layers appended to the chain ends. Numerically estimated wavenumbers show good agreement with the perturbation predictions. Several example chain unit cells demonstrate the manner in which nonlinearities in periodic systems may be exploited to achieve amplitude-dependent dispersion properties for the design of tunable acoustic devices.

A one-dimensional self-gravitating stellar gas

1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar
Keyword(s):  
Gravitational Field ◽  
Phase Space ◽  
Motion Picture ◽  
Space Distribution ◽  
Two Dimensional ◽  
One Dimensional ◽  
Phase Space Distribution ◽  
Dimensional Phase Space ◽  
The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

Electron-Mirror Microscopic Aspects of Ferroelectric Domains of BaTiO3 And Ca2Sr (C2H5CO2)6

1970 ◽  
Vol 28 ◽  
pp. 478-479
Author(s):  
Teruo Someya ◽  
Jinzo Kobayashi
Keyword(s):  
Surface Layer ◽  
Electric Fields ◽  
Quantitative Study ◽  
Recent Progress ◽  
Ferroelectric Domain ◽  
Resolving Power ◽  
Surface Pattern ◽  
Crystal Surfaces ◽  
One Dimensional ◽  
Ferroelectric Domains

Recent progress in the electron-mirror microscopy (EMM), e.g., an improvement of its resolving power together with an increase of the magnification makes it useful for investigating the ferroelectric domain physics. English has recently observed the domain texture in the surface layer of BaTiO3. The present authors ) have developed a theory by which one can evaluate small one-dimensional electric fields and/or topographic step heights in the crystal surfaces from their EMM pictures. This theory was applied to a quantitative study of the surface pattern of BaTiO3).

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