2D vortex methods and singular quadrature rules

Journal Article · Thu Feb 29 23:00:00 EST 1996 · Journal of Computational Physics

DOI:https://doi.org/10.1006/jcph.1996.0049· OSTI ID:274229

Strain, J ^[1]

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1. Lawrence Berkeley Laboratory, CA (United States)

A new high-order vortex method for the 2D Euler equations is presented. The method eliminates smoothing by constructing a singular quadrature rule for the Biot-Savart law at each time step, using quadtrees and orthogonal polynomials. Theory and numerical experiments show that the method is accurate and efficient, yielding excellent long-term accuracy in almost optimal CPU time. 22 refs., 7 figs., 2 tabs.

• OSTI ID: 274229
• Journal Information: Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 1 Vol. 124; ISSN JCTPAH; ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
66 PHYSICS
99 GENERAL AND MISCELLANEOUS
BIOT-SAVART LAW
NUMERICAL SOLUTION
POLYNOMIALS
QUADRATURES
TURBULENT FLOW
TWO-DIMENSIONAL CALCULATIONS