New conservative formulations of full-potential equation in streamline-aligned coordinates

AIAA Journal ◽  
1997 ◽  
Vol 35 ◽  
pp. 1226-1228
Author(s):  
Azat M. Latypov
Keyword(s):  
Full Potential ◽  
Potential Equation

Prospects of the Unification of Aerodynamics and Aeroacoustics

1995 ◽  
Vol 48 (11S) ◽  
pp. S150-S157
Author(s):  
Mauri´cio Pazini Branda˜o
Keyword(s):  
Full Potential ◽  
Potential Equation ◽  
Recent Trends

This paper reviews recent trends of analysis of aeroacoustic problems via traditional CFD techniques, as well as analysis of aerodynamic problems via modern aeroacoustic methods. Individual methods are described and tendencies of evolution are indicated. A generalized version of the full potential equation is derived. These two complementary forms of research converge towards the integration of Aeroacoustics and Aerodynamics into a single framework, where the computer serves as an integration tool.

scholarly journals Finite element error estimates for subsonic flow

1987 ◽  
Vol 29 (1) ◽  
pp. 88-102 ◽  
Author(s):  
S. S. Chow ◽  
G. F. Carey
Keyword(s):  
Finite Element ◽  
Error Estimates ◽  
Subsonic Flow ◽  
Full Potential ◽  
Linear Potential ◽  
Element Analysis ◽  
Subsonic Flows ◽  
Potential Equation ◽  
Dual Formulation ◽  
Element Error

AbstractError estimates are derived for a finite element analysis of plane steady subsonic flows described by the full potential equation. The analysis is based on the use of the theory of variational inequalities to accomodate the subsonic flow constraint and leads to a suboptimal estimate relative to that obtained for linear potential flow. We then consider an alternative dual formulation of the problem and obtain an optimal estimate subject to reasonable regularity assumptions.

A three-dimensional field-integral method for the calculation of transonic flow on complex configurations — theory and preliminary results

1988 ◽  
Vol 92 (916) ◽  
pp. 235-241 ◽  
Author(s):  
P. M. Sinclair
Keyword(s):  
Transonic Flow ◽  
Integral Method ◽  
Three Dimensional ◽  
Full Potential ◽  
Potential Equation ◽  
Direct Extension ◽  
Body Shapes ◽  
Dimensional Integral ◽  
Field Integral ◽  
Good Agreement

Summary A three-dimensional integral formulation for the solution of the full potential equation and the associated numerical algorithm, the field-integral method, are presented. The method is a direct extension of a two-dimensional method and in particular retains the simple grid generation requirements noted in that method. Results are presented for the flow over body shapes and a complex winglet configuration, and are compared with existing transonic methods and experiments with good agreement. The further work necessary to provide a fast, robust method for use in design is outlined.

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