Interface Tracking for Axisymmetric Flows

Authors:
James Glimm;John W. Grove;Yongmin Zhang
Affiliations:
-;-;-
Venue:
SIAM Journal on Scientific Computing
Year:
2002

Citing 0
Cited 9

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Direct numerical simulation of interfacial instabilities: A consistent, conservative, all-speed, sharp-interface method

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Abstract

A front tracking method for inviscid gas dynamics is presented. The key constructions and algorithms used in the code are described and the interrelations between shock capturing, interface dynamics, computational geometry, grid construction, and parallelism are discussed for the code as a whole. Validation is carried out by comparing the single mode bubble velocity for Rayleigh--Taylor instability with theoretical models and experimental results. The calculations are validated by mesh refinement studies and by the comparison of the asymptotic limit of the minimum radius $r_{\rm min} \rightarrow \infty$ to a pure planar computation in two dimensions.