1991Unpublished venueOpen access

The computation of fluid flow in a curvilinear non-orthogonal coordinate system.

Honglin. Ye

Open full text 0 citations

Abstract

A curvilinear coordinate system $x\\sp{i}$ has been introduced to study 2 $-$ D flow in complex geometry. Some flow problems of current interest have been formulated in the $x\\sp{i}$ coordinate system. The methods for numerically generating the $x\\sp{i}$ coordinate system are discussed. A new design and analysis algorithm is proposed for inviscid incompressible flow. The solution procedure for Navier-Stokes equations is presented for an expanding channel flow. Numerical results from the present method show comparable accuracy to existing procedures.Dept. of Mathematics and Statistics. Paper copy at Leddy Library: Theses & Major Papers - Basement, West Bldg. / Call Number: Thesis1991 .Y446. Source: Masters Abstracts International, Volume: 31-01, page: 0325. Supervisor: R. M. Barron. Thesis (M.Sc.)--University of Windsor (Canada), 1991.

Open-access reader

About this research paper

What this paper is about

A curvilinear coordinate system $x\\sp{i}$ has been introduced to study 2 $-$ D flow in complex geometry. Some flow problems of current interest have been formulated in the $x\\sp{i}$ coordinate system. The methods for numerically generating the $x\\sp{i}$ coordinate system are discussed. A new design and analysis algorithm is proposed for inviscid incompressible flow. The solution procedure for Navier-Stokes equations is presented for an expanding channel flow. Numerical results from the present method show comparable accuracy to existing procedures.Dept. of Mathematics and Statistics. Paper copy at Leddy Library: Theses & Major Papers - Basement, West Bldg. / Call Number: Thesis1991 .Y446. Source: Masters Abstracts International, Volume: 31-01, page: 0325. Supervisor: R. M. Barron. Thesis (M.Sc.)--University of Windsor (Canada), 1991.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

A curvilinear coordinate system $x\\sp{i}$ has been introduced to study 2 $-$ D flow in complex geometry. Some flow problems of current interest have been formulated in the $x\\sp{i}$ coordinate system. The methods for numerically generating the $x\\sp{i}$ coordinate system are discussed. A new design and analysis algorithm is proposed for inviscid incompressible flow. The solution procedure for Navier-Stokes equations is presented for an expanding channel flow. Numerical results from the present method show comparable accuracy to existing procedures.Dept. of Mathematics and Statistics. Paper copy at Leddy Library: Theses & Major Papers - Basement, West Bldg. / Call Number: Thesis1991 .Y446. Source: Masters Abstracts International, Volume: 31-01, page: 0325. Supervisor: R. M. Barron. Thesis (M.Sc.)--University of Windsor (Canada), 1991.

Key concepts: Curvilinear coordinates, Coordinate system, Computation, Flow (mathematics), Mathematics, Computer science, Geometry, Algorithm

Related papers

Back to paper searchBrowse research topicsOriginal source
The computation of fluid flow in a curvilinear non-orthogonal coordinate system. — Research Paper | ScholarLens