Fast adaptive 2D vortex methods

Journal Article · Fri Mar 14 23:00:00 EST 1997 · Journal of Computational Physics

DOI:https://doi.org/10.1006/jcph.1996.5626· OSTI ID:535125

Strain, J ^[1]

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1. Univ. of California, Berkeley, CA (United States)

We present a new approach to vortex methods for the 2D Euler equations. We obtain long-time high-order accuracy at almost optimal cost by using three tools: fast adaptive quadrature rules, a free-Lagrangian formulation, and a useful new analysis of the consistency error. Our error analysis halves the order of differentiability required of the flow and suggests an efficient new balance of smoothing parameters which works well with fast summation schemes. Numerical experiments with our methods confirm our theoretical predictions and display excellent long-time accuracy. 23 refs., 10 figs., 2 tabs.

• DOE Contract Number: AC03-76SF00098
• OSTI ID: 535125
• Journal Information: Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 1 Vol. 132; ISSN JCTPAH; ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
66 PHYSICS
99 GENERAL AND MISCELLANEOUS
ALGORITHMS
FLOW MODELS
INCOMPRESSIBLE FLOW
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
QUADRATURES
TWO-DIMENSIONAL CALCULATIONS