scholarly journals An embedded approach for the solution of the full potential equation with finite elements

2022 ◽  
Vol 388 ◽  
pp. 114244
Author(s):  
Marc Núñez ◽  
Iñigo López ◽  
Joan Baiges ◽  
Riccardo Rossi
Keyword(s):  
Finite Elements ◽  
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.

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