Global error analysis of two-dimensional panel methods for dirichlet formulation

Ezquerro Navarro, Jose Miguel and Laveron Simavilla, Ana and Lapuerta Gonzalez, Maria Victoria and Porter, Jeffrey Brent (2017). Global error analysis of two-dimensional panel methods for dirichlet formulation. "Engineering Analysis with Boundary Elements", v. 74 ; pp. 88-99. ISSN 0955-7997. https://doi.org/10.1016/j.enganabound.2016.11.003.

Description

Title: Global error analysis of two-dimensional panel methods for dirichlet formulation
Author/s:
  • Ezquerro Navarro, Jose Miguel
  • Laveron Simavilla, Ana
  • Lapuerta Gonzalez, Maria Victoria
  • Porter, Jeffrey Brent
Item Type: Article
Título de Revista/Publicación: Engineering Analysis with Boundary Elements
Date: 2017
ISSN: 0955-7997
Volume: 74
Subjects:
Freetext Keywords: Aerodynamics; Panel method; Asymptotic error; Global error; Potential flow
Faculty: E.T.S. de Ingeniería Aeronáutica y del Espacio (UPM)
Department: Aeronaves y Vehículos Espaciales
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

A rigorous analytical study of the global error of panel methods is presented. The analysis is performed for a wide variety of body shapes and different panel geometries to fully understand their effect on the convergence of the method. In particular, we study the global error associated with panel methods applied to thin or thick bodies with purely convex parts or with both convex and concave parts, and with smooth or non-smooth boundaries. Most previous studies focused on the analysis of local error, considering only the influence of the nearest panels and excluding the rest. The difference is shown to be appreciable in many configurations. Generally, there is a lack of consensus concerning the order of magnitude of the error for panel methods even in the simplest case with flat panels and a constant distribution of doublets along them. This paper clarifies apparently different or inconsistent results obtained by other authors.

More information

Item ID: 53495
DC Identifier: http://oa.upm.es/53495/
OAI Identifier: oai:oa.upm.es:53495
DOI: 10.1016/j.enganabound.2016.11.003
Official URL: http://www.sciencedirect.com/science/article/pii/S0955799716304167
Deposited by: Memoria Investigacion
Deposited on: 04 Feb 2019 13:22
Last Modified: 04 Feb 2019 13:22
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