Rayleigh--Taylor instability and the use of conformal maps for ideal fluid flow

Journal Article · Fri Jul 01 04:00:00 EDT 1983 · J. Comput. Phys.; (United States)

DOI:https://doi.org/10.1016/0021-9991(83)90080-3· OSTI ID:5469268

Menikoff, R; Zemach, C

Potential theory permits ideal fluid dynamics to be formulated in terms of boundary motion. In two dimension, the flow can then be found using conformal mapping. The evolution of some Rayleigh--Taylor instabilities is calculated well into the large amplitude nonlinear regime. The Rayleigh--Taylor calculation for Atwood ratio unity is used as a prototype for a system of theoretical and numerical techniques exploting complex variable theory and high-order quadrature methods.

• Research Organization: Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
• OSTI ID: 5469268
• Journal Information: J. Comput. Phys.; (United States), Journal Name: J. Comput. Phys.; (United States) Vol. 51:1; ISSN JCTPA
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CONFORMAL MAPPING
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FLUID FLOW
FUNCTIONS
GREEN FUNCTION
IDEAL FLOW
INSTABILITY
MAPPING
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
RAYLEIGH-TAYLOR INSTABILITY
TOPOLOGICAL MAPPING
TRANSFORMATIONS
TWO-DIMENSIONAL CALCULATIONS