2002Journal of Tsinghua University(Science and Technology)Requires access

Parametric polynomial method for fast flow-field calculation

Zuoyi Chen

Open publisher page 0 citations

Abstract

This paper studies the principles of the parametric polynomial method, a super fast method for flow field calculation by analyzing the relationship between the parametric polynomial method and the weighted residual method. The conclusions can be applied whether the number of control points is larger than or equal to the number of primary functions, or whether the number of control points is limited. The solution obtained by the parametric polynomial method is equal to the solution by the weighted residual method for corresponding conditions. The parametric polynomial method is further developed as a solid theoretical foundation for engineering applications.

About this research paper

What this paper is about

This paper studies the principles of the parametric polynomial method, a super fast method for flow field calculation by analyzing the relationship between the parametric polynomial method and the weighted residual method. The conclusions can be applied whether the number of control points is larger than or equal to the number of primary functions, or whether the number of control points is limited. The solution obtained by the parametric polynomial method is equal to the solution by the weighted residual method for corresponding conditions. The parametric polynomial method is further developed as a solid theoretical foundation for engineering applications.

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

This paper studies the principles of the parametric polynomial method, a super fast method for flow field calculation by analyzing the relationship between the parametric polynomial method and the weighted residual method. The conclusions can be applied whether the number of control points is larger than or equal to the number of primary functions, or whether the number of control points is limited. The solution obtained by the parametric polynomial method is equal to the solution by the weighted residual method for corresponding conditions. The parametric polynomial method is further developed as a solid theoretical foundation for engineering applications.

Key concepts: Parametric statistics, Polynomial, Residual, Mathematics, Wilkinson's polynomial, Applied mathematics, Reciprocal polynomial, Parametric equation

Related papers

Back to paper searchBrowse research topicsOriginal source
Parametric polynomial method for fast flow-field calculation — Research Paper | ScholarLens