A-posteriori error estimation for the finite point method with applications to compressible flow

An a-posteriori error estimate with application to inviscid compressible flow problems is presented. The estimate is a surrogate measure of the discretization error, obtained from an approximation to the truncation terms of the governing equations. This approximation is calculated from the discrete...

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Detalles Bibliográficos
Autores: Ortega, Enrique|||0000-0002-0522-2193, Flores Le Roux, Roberto Maurice|||0000-0001-6027-9515, Oñate Ibáñez de Navarra, Eugenio|||0000-0002-0804-7095, Idelsohn Barg, Sergio Rodolfo
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/104305
Acceso en línea:https://hdl.handle.net/2117/104305
https://dx.doi.org/10.1007/s00466-017-1402-7
Access Level:acceso abierto
Palabra clave:Computational fluid dynamics
Compressibility
Meshless
Error estimate
Adaptivity
Compressible flow
Dinàmica de fluids computacional
Compressibilitat
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
Descripción
Sumario:An a-posteriori error estimate with application to inviscid compressible flow problems is presented. The estimate is a surrogate measure of the discretization error, obtained from an approximation to the truncation terms of the governing equations. This approximation is calculated from the discrete nodal differential residuals using a reconstructed solution field on a modified stencil of points. Both the error estimation methodology and the flow solution scheme are implemented using the Finite Point Method, a meshless technique enabling higher-order approximations and reconstruction procedures on general unstructured discretizations. The performance of the proposed error indicator is studied and applications to adaptive grid refinement are presented.