Nonlinear perturbation theory of the incompressible Richtmyer-Meshkov instability

Journal Article · Sun Mar 31 23:00:00 EST 1996 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.76.3112· OSTI ID:284737

Velikovich, A L ^[1]; Dimonte, G ^[2]

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1. Berkeley Scholars, Inc., Springfield, Virginia 22150 (United States)
2. Lawrence Livermore National Laboratory, Livermore, California 94551 (United States)

A single-mode nonlinear high-order perturbation theory is developed to describe the Richtmyer-Meshkov instability of an impulsively accelerated interface between an incompressible fluid and a constant supporting pressure. The nonlinear modification of Richtmyer{close_quote}s formula is presented and compared to experimental data with strong radiatively driven shocks. The theory allows a straightforward extension to more general cases of Richtmyer-Meshkov and Rayleigh-Taylor instabilities (multimode, more interfaces, three-dimensional flow, etc.). {copyright} {ital 1996 The American Physical Society.}

• Research Organization: Lawrence Livermore National Laboratory
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 284737
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 17 Vol. 76; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ACCELERATION
FLUID FLOW
INSTABILITY
INTERFACES
NONLINEAR PROBLEMS
PERTURBATION THEORY
SHOCK WAVES