## Abstract

A new boundary element procedure is developed for the solution of the streamfunction–vorticity formulation of the Navier–Stokes equations in two dimensions. The differential equations are stated in their transient version and then discretized via finite differences with respect to time. In this discretization, the non‐linear inertial terms are evaluated in a previous time step, thus making the scheme explicit with respect to them. In the resulting discretized equations, fundamental solutions that take into account the coupling between the equations are developed by treating the non‐linear terms as in homogeneities. The resulting boundary integral equations are solved by the regular boundary element method, in which the singular points are placed outside the solution domain.

Original language | English (US) |
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Pages (from-to) | 1-12 |

Number of pages | 12 |

Journal | International Journal for Numerical Methods in Fluids |

Volume | 10 |

Issue number | 1 |

DOIs | |

State | Published - Jan 5 1990 |

Externally published | Yes |

## Keywords

- Fundamental solutions
- Navier–Stokes equations
- Regular boundary elements

## ASJC Scopus subject areas

- Computational Mechanics
- Mechanics of Materials
- Mechanical Engineering
- Computer Science Applications
- Applied Mathematics