Vortex methods

Conference · Tue Jun 01 04:00:00 EDT 1993

OSTI ID:10104949

Chorin, A J ^[1]

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

Vortex methods originated from the observation that in incompressible inviscid flow vorticity (or, more accurately, circulation) is a conserved quantity, as can be readily deduced from the absence of tangential stresses. Thus, if the vorticity is known at time t=0, one can find the flow at a later time by simply following the vorticity. In this narrow context, a vortex method is a numerical method that follows vorticity. The author restricts himself in these lectures to a special class of numerical vortex methods, those that are based on a Lagrangian transport of vorticity in hydrodynamics by smoothed particles (blobs) and those whose analysis contributes to the understanding of blob methods. Blob methods started in the 1930`s.

• Research Organization: Lawrence Berkeley Lab., CA (United States)
• Sponsoring Organization: USDOE, Washington, DC (United States)
• DOE Contract Number: AC03-76SF00098
• OSTI ID: 10104949
• Report Number(s): LBL--34124-Rev.; CONF-9306196--1-Rev.; ON: DE94003245
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400
99 GENERAL AND MISCELLANEOUS
990200
CALCULATION METHODS
HEAT TRANSFER AND FLUID FLOW
HYDRODYNAMICS
IDEAL FLOW
INCOMPRESSIBLE FLOW
MATHEMATICS
MATHEMATICS AND COMPUTERS
VORTEX FLOW
VORTICES