### Abstract

The authors showed the convergence of a class of vortex methods for incompressible, inviscid flow in two or three space dimensions. These methods are based on the fact that the velocity can be determined from the vorticity by a singular integral. The accuracy of the method depends on replacing the integral kernel with a smooth approximation. The purpose of this note is to construct smooth kernels of arbitrary order of accuracy which are given by simple, explicit formulae.

Original language | English (US) |
---|---|

Journal | [No source information available] |

State | Published - Jan 1 1983 |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

**Explicit smooth velocity kernels for vortex methods.** / Beale, J. T.; Majda, Andrew.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Explicit smooth velocity kernels for vortex methods.

AU - Beale, J. T.

AU - Majda, Andrew

PY - 1983/1/1

Y1 - 1983/1/1

N2 - The authors showed the convergence of a class of vortex methods for incompressible, inviscid flow in two or three space dimensions. These methods are based on the fact that the velocity can be determined from the vorticity by a singular integral. The accuracy of the method depends on replacing the integral kernel with a smooth approximation. The purpose of this note is to construct smooth kernels of arbitrary order of accuracy which are given by simple, explicit formulae.

AB - The authors showed the convergence of a class of vortex methods for incompressible, inviscid flow in two or three space dimensions. These methods are based on the fact that the velocity can be determined from the vorticity by a singular integral. The accuracy of the method depends on replacing the integral kernel with a smooth approximation. The purpose of this note is to construct smooth kernels of arbitrary order of accuracy which are given by simple, explicit formulae.

UR - http://www.scopus.com/inward/record.url?scp=85040892353&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85040892353&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85040892353

JO - Theoretical Computer Science

JF - Theoretical Computer Science

SN - 0304-3975

ER -