NDLI: Simulation of Richtmyer–Meshkov instability by sixth-order filter methods

Content Provider	Springer Nature Link
Author	Yee, H. C. Sjögreen, B.
Copyright Year	2007
Abstract	Simulation of a 2-D Rightmyer–Meshkov instability (RMI), including inviscid, viscous and magnetic field effects was conducted comparing recently developed sixth-order filter schemes with various standard shock-capturing methods. The suppression of the inviscid gas dynamics RMI in the presence of a magnetic field was investigated by Samtaney and Wheatley et al. Numerical results illustrated here exhibit behavior similar to the work of Samtaney. Due to the different amounts and different types of numerical dissipation contained in each scheme, the structures and the growth of eddies for the chaotic-like inviscid gas dynamics RMI case are highly grid size and scheme dependent, even with many levels of refinement. The failure of grid refinement for all studied numerical methods extends to the viscous gas dynamics case for high Reynolds number. For lower Reynolds number, grid convergence has been achieved by all studied methods. To achieve similar resolution, standard shock-capturing methods require more grid points than filter schemes and yet the CPU times using the same grid for all studied methods are comparable.
Starting Page	185
Ending Page	193
Page Count	9
File Format	PDF
ISSN	09381287
Journal	Shock Waves
Volume Number	17
Issue Number	3
e-ISSN	14322153
Language	English
Publisher	Springer-Verlag
Publisher Date	2007-09-01
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Solid State Physics and Spectroscopy Condensed Matter Acoustics Thermodynamics Fluids Mechanics, Fluids, Thermodynamics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Mechanical Engineering

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