Analytic approach to nonlinear hydrodynamic instabilities driven by time-dependent accelerations

Thumbnail image of item number 1 in: 'Analytic approach to nonlinear hydrodynamic instabilities driven by time-dependent accelerations'.
Thumbnail image of item number 2 in: 'Analytic approach to nonlinear hydrodynamic instabilities driven by time-dependent accelerations'.
Thumbnail image of item number 3 in: 'Analytic approach to nonlinear hydrodynamic instabilities driven by time-dependent accelerations'.
Thumbnail image of item number 4 in: 'Analytic approach to nonlinear hydrodynamic instabilities driven by time-dependent accelerations'.
Showing 1-4 of 65 pages in this article.

PDF Version Also Available for Download.

Description

We extend our earlier model for Rayleigh-Taylor and Richtmyer-Meshkov instabilities to the more general class of hydrodynamic instabilities driven by a time-dependent acceleration g(t) . Explicit analytic solutions for linear as well as nonlinear amplitudes are obtained for several g(t)'s by solving a Schroedinger-like equation d{sup 2}{eta}/dt{sup 2} - g(t)kA{eta} = 0 where A is the Atwood number and k is the wavenumber of the perturbation amplitude {eta}(t). In our model a simple transformation k {yields} k{sub L} and A {yields} A{sub L} connects the linear to the nonlinear amplitudes: {eta}{sup nonlinear} (k,A) {approx} (1/k{sub L})ln{eta}{sup linear} (k{sub L}, A{sub ... continued below

Physical Description

PDF-file: 65 pages; size: 2.3 Mbytes

Creation Information

Mikaelian, K O September 28, 2009.

Context

This article is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. More information about this article can be viewed below.

Who

People and organizations associated with either the creation of this article or its content.

Author

Sponsor

Publisher

Provided By

UNT Libraries Government Documents Department

Serving as both a federal and a state depository library, the UNT Libraries Government Documents Department maintains millions of items in a variety of formats. The department is a member of the FDLP Content Partnerships Program and an Affiliated Archive of the National Archives.

About | Browse this Partner

Contact Us

Corrections Questions

What

Descriptive information to help identify this article. Follow the links below to find similar items on the Digital Library.

Description

We extend our earlier model for Rayleigh-Taylor and Richtmyer-Meshkov instabilities to the more general class of hydrodynamic instabilities driven by a time-dependent acceleration g(t) . Explicit analytic solutions for linear as well as nonlinear amplitudes are obtained for several g(t)'s by solving a Schroedinger-like equation d{sup 2}{eta}/dt{sup 2} - g(t)kA{eta} = 0 where A is the Atwood number and k is the wavenumber of the perturbation amplitude {eta}(t). In our model a simple transformation k {yields} k{sub L} and A {yields} A{sub L} connects the linear to the nonlinear amplitudes: {eta}{sup nonlinear} (k,A) {approx} (1/k{sub L})ln{eta}{sup linear} (k{sub L}, A{sub L}). The model is found to be in very good agreement with direct numerical simulations. Bubble amplitudes for a variety of accelerations are seen to scale with s defined by s = {integral} {radical}g(t)dt, while spike amplitudes prefer scaling with displacement {Delta}x = {integral}[{integral}g(t)dt]dt.

Physical Description

PDF-file: 65 pages; size: 2.3 Mbytes

Source

  • Journal Name: Physical Review E, vol. 81, no. 2, January 1, 2010, pp. 016325-1 to 016325-16; Journal Volume: 81; Journal Issue: 2

Language

Item Type

Identifier

Unique identifying numbers for this article in the Digital Library or other systems.

  • Report No.: LLNL-JRNL-417610
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 978901
  • Archival Resource Key: ark:/67531/metadc927609

Collections

This article is part of the following collection of related materials.

Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

About | Browse this Collection

What responsibilities do I have when using this article?

Digital Files

When

Dates and time periods associated with this article.

Creation Date

  • September 28, 2009

Added to The UNT Digital Library

  • Nov. 13, 2016, 7:26 p.m.

Description Last Updated

  • Dec. 6, 2016, 7 p.m.

Usage Statistics

When was this article last used?

Congratulations! It looks like you are the first person to view this item online.
More Statistics

Interact With This Article

Here are some suggestions for what to do next.

Start Reading

Thumbnail image of item number 1 in: 'Analytic approach to nonlinear hydrodynamic instabilities driven by time-dependent accelerations'.
Thumbnail image of item number 2 in: 'Analytic approach to nonlinear hydrodynamic instabilities driven by time-dependent accelerations'.
Thumbnail image of item number 3 in: 'Analytic approach to nonlinear hydrodynamic instabilities driven by time-dependent accelerations'.
Thumbnail image of item number 4 in: 'Analytic approach to nonlinear hydrodynamic instabilities driven by time-dependent accelerations'.

PDF Version Also Available for Download.

Citations, Rights, Re-Use

International Image Interoperability Framework

IIF Logo

We support the IIIF Presentation API

Mikaelian, K O. Analytic approach to nonlinear hydrodynamic instabilities driven by time-dependent accelerations, article, September 28, 2009; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc927609/: accessed September 19, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.