A new transformation for computing hypergeometric series and the exact evaluation of the transonic adiabatic flow over a smooth bump (Q1115723)
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scientific article; zbMATH DE number 4087271
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new transformation for computing hypergeometric series and the exact evaluation of the transonic adiabatic flow over a smooth bump |
scientific article; zbMATH DE number 4087271 |
Statements
A new transformation for computing hypergeometric series and the exact evaluation of the transonic adiabatic flow over a smooth bump (English)
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1989
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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.
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hypergeometric functions
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isentropic compressible flows
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hodograph method
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ill-conditioning
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generalized Euler transformation
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smooth bump
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