Applications of numerical conformal mapping

Daniel I. Meiron, Steven A. Orszag, Moshe Israeli

Research output: Contribution to journalArticlepeer-review

43 Scopus citations

Abstract

The application of conformal mapping methods to the solution of free-surface flow problems is considered. Methods of numerical conformal mapping based on Fourier series are extended to handle efficiently problems with time-dependent boundaries. They are shown to be practicable only for moderately distorted geometries. Extensions of the Menikoff-Zemach method to "breaking" geometries are presented. These latter methods are robust at quite large distortions, but degrade prematurely in time-dependent problems at amplitudes smaller than achieved by our recent vortex methods.

Original languageEnglish
Pages (from-to)345-360
Number of pages16
JournalJournal of Computational Physics
Volume40
Issue number2
DOIs
StatePublished - Apr 1981
Externally publishedYes

Bibliographical note

Funding Information:
* This work was supported the General Hydromechanics NC@O14-80-C-0127.

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