A new transformation for computing hypergeometric series and the exact evaluation of the transonic adiabatic flow over a smooth bump
type: Item
instance of: scholarly article
title: A new transformation for computing hypergeometric series and the exact evaluation of the transonic adiabatic flow over a smooth bump
zbMATH Open document ID: 0664.76066
DOI: 10.1016/0045-7930(89)90004-2
published in: Computers and Fluids
publication date: 1989-01-01T00:00:00Z
review text: The evaluation of the hypergeometric functions has always been a main problem of the computation of isentropic compressible flows by hodograph method, particularly because of the ill-conditioning of the involved series. In this work a new approach based on a generalized Euler transformation is established and its efficiency is verified by computing the exact transonic flow over a smooth bump. This flow is also a new one and could be profitably used as a test for operational computer codes.
Mathematics Subject Classification ID: 76H05
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 65N99
zbMATH DE Number: 4087271
zbMATH Keywords: hypergeometric functions
zbMATH Keywords: isentropic compressible flows
zbMATH Keywords: hodograph method
zbMATH Keywords: ill-conditioning
zbMATH Keywords: generalized Euler transformation
zbMATH Keywords: smooth bump
author: Gianfranco Chiocchia
author: Bruno Gabutti
MaRDI profile type: Publication
full work available at URL: 0045-7930(89)90004-2
OpenAlex ID: W1964893592
cites work: Exakte Lösungen der Differentialgleichungen einer adiabatischen Gasströmung
cites work: Flow of a compressible fluid about a cylinder
cites work: On two methods for accelerating convergence of series
cites work: Some generalizations of the Euler-Knopp transformation
cites work: The hodograph transformation in trans-sonic flow - IV. Tables
cites work: Q5549713
cites work: The hodograph transformation in trans-sonic flow. I. Symmetrical channels
cites work: Q5830333
description: scientific article; zbMATH DE number 4087271