scholarly journals The fragmentation of expanding shells - I. Limitations of the thin-shell approximation

2009 ◽  
Vol 398 (3) ◽  
pp. 1537-1548 ◽  
Author(s):  
James E. Dale ◽  
Richard Wünsch ◽  
Anthony Whitworth ◽  
Jan Palouš
Keyword(s):  
Thin Shell ◽  
Shell Approximation ◽  
Expanding Shells

scholarly journals The fragmentation of expanding shells – limitations of the thin-shell model

2009 ◽  
Vol 5 (S266) ◽  
pp. 375-375
Author(s):  
Jim Dale ◽  
Richard Wünsch ◽  
Jan Palouš ◽  
Ant Whitworth
Keyword(s):  
Shell Model ◽  
Thin Shell ◽  
Shell Analysis ◽  
Expanding Shells

AbstractWe study the fragmentation of expanding shells in the context of the linear thin-shell analysis. We simulate shell fragmentation using the flash AMR code and a variant of the Benz SPH code.

Nonlinear Ferromagnetic Shield Modeling by the Thin-Shell Approximation

2006 ◽  
Vol 42 (10) ◽  
pp. 3144-3146 ◽  
Author(s):  
O. Bottauscio ◽  
M. Chiampi ◽  
A. Manzin
Keyword(s):  
Thin Shell ◽  
Shell Approximation

scholarly journals Dynamics of false vacuum bubbles: beyond the thin shell approximation

2009 ◽  
Vol 2009 (11) ◽  
pp. 016-016 ◽  
Author(s):  
Jakob Hansen ◽  
Dong-il Hwang ◽  
Dong-han Yeom
Keyword(s):  
Thin Shell ◽  
False Vacuum ◽  
Shell Approximation

scholarly journals Mass Spectrum of a Starburst

2004 ◽  
Vol 217 ◽  
pp. 318-323 ◽  
Author(s):  
Jan Palouš ◽  
Richard Wünsch ◽  
Soňa Ehlerová
Keyword(s):  
Mass Spectrum ◽  
Power Law ◽  
Time Scale ◽  
Thin Shell ◽  
Mass Spectra ◽  
Computer Code ◽  
Low Density ◽  
Hydrodynamical Simulations ◽  
Shell Approximation ◽  
Self Gravity

The fragmentation of supershells and filaments driven by a superwind in a starburst region produces clumps with a mass spectrum approximated by a power law. Its spectral index is close to −2.3. We present results of computer simulations using the thin shell approximation, which are compared to 3D hydrodynamical simulations with self-gravity using the ZEUS computer code. In a low density medium the fragmentation time-scale is comparable to the collisional time-scale, and consequently collisions change the mass spectra of fragments to less steep values. In high density environments collisional time-scales are much longer and the mass spectrum results from gravitational fragmentation of expanding sheets and filaments.

scholarly journals Robust Correction Procedure for Accurate Thin Shell Models via a Perturbation Technique

2020 ◽  
Vol 10 (3) ◽  
pp. 5832-5836 ◽  
Author(s):  
V. D. Quoc
Keyword(s):  
Thin Shell ◽  
Practical Problem ◽  
Perturbation Technique ◽  
Local Fields ◽  
Interface Condition ◽  
Correction Procedure ◽  
Volume Correction ◽  
Electromagnetic Problems ◽  
Shell Models ◽  
Shell Approximation

This research proposes a robust correction procedure to improve inaccuracies around edges and corners inherent to thin shell electromagnetic problems by means of perturbation technique. This proposal is developed with three processes: A classical thin shell approximation replaced with an impedance-type interface condition across a surface is first considered and then a volume correction is introduced to overcome the thin shell approximation. However, the volume correction is quite sensitive to cancellation errors, with dramatic effects in the calculation of the local fields near edges and corners. Therefore, a robust correction procedure is added to improve cancellation errors of the volume correction. Each step of the developed method is validated on the practical problem.

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