Contour Dynamics: A Boundary Integral Evolutionary Method for Inviscid Incompressible Flows

  • Norman J. Zabusky
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 75)


The method of contour dynamics, a generalization of the water- bag model, is ideally suited to study the evolution of incompressible and nondissipative fluids in two dimensions. For example, the method is applicable to the Euler equations, in homogeneous and stratified media and the equations for a “deformable” dielectric (or an ionospheric plasma cloud). In essence the “sources” of motion are singular points and/or piecewise-constant regions of “density” whose boundaries are advected with the local flow velocity. This velocity is derived from a stream-function that is obtained by solving an elliptic equation. In all cases to date the inviscid flows are n area-preserving mappings of the regions.


Euler Equation Point Vortex Plasma Cloud Contour Dynamics Circulation Ratio 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Plenum Press, New York 1981

Authors and Affiliations

  • Norman J. Zabusky
    • 1
  1. 1.Department of Mathematics and StatisticsUniversity of PittsburghPittsburghUSA

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