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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| Published in | Computational mechanics Vol. 60; no. 2; pp. 219 - 233 |
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| Main Authors | , , , |
| Format | Journal Article Publication |
| Language | English |
| Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.08.2017
Springer Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0178-7675 1432-0924 1432-0924 |
| DOI | 10.1007/s00466-017-1402-7 |
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| Abstract | 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. |
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| AbstractList | 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. 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. Peer Reviewed |
| Audience | Academic |
| Author | Flores, Roberto Ortega, Enrique Idelsohn, Sergio Oñate, Eugenio |
| Author_xml | – sequence: 1 givenname: Enrique surname: Ortega fullname: Ortega, Enrique email: eortega@cimne.upc.edu organization: Centre Internacional de Mètodes Numèrics en Enginyeria (CIMNE), Universitat Politècnica de Catalunya (UPC) – sequence: 2 givenname: Roberto surname: Flores fullname: Flores, Roberto organization: Centre Internacional de Mètodes Numèrics en Enginyeria (CIMNE), Universitat Politècnica de Catalunya (UPC) – sequence: 3 givenname: Eugenio surname: Oñate fullname: Oñate, Eugenio organization: Centre Internacional de Mètodes Numèrics en Enginyeria (CIMNE), Universitat Politècnica de Catalunya (UPC) – sequence: 4 givenname: Sergio surname: Idelsohn fullname: Idelsohn, Sergio organization: Centre Internacional de Mètodes Numèrics en Enginyeria (CIMNE), Universitat Politècnica de Catalunya (UPC), Institució Catalana de Recerca i Estudis Avançats (ICREA) |
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| CitedBy_id | crossref_primary_10_1016_j_amc_2020_125326 crossref_primary_10_1002_fld_5266 crossref_primary_10_1090_mcom_3980 crossref_primary_10_3390_met11010175 crossref_primary_10_1002_num_22985 crossref_primary_10_1016_j_enganabound_2021_10_018 crossref_primary_10_1016_j_enganabound_2023_09_014 |
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| Contributor | Universitat Politècnica de Catalunya. Departament de Física Universitat Politècnica de Catalunya. GMNE - Grup de Mètodes Numèrics en Enginyeria Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental Universitat Politècnica de Catalunya. L'AIRE - Laboratori Aeronàutic i Industrial de Recerca i Estudis |
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| SubjectTerms | Adaptivity Approximation Classical and Continuum Physics Compressibilitat Compressibility Compressible flow Computational fluid dynamics Computational Science and Engineering Differential equations Dinàmica de fluids computacional Engineering Enginyeria mecànica Error analysis Error estimate Finite element method Grid refinement (mathematics) Mathematical analysis Mecànica de fluids Meshless Meshless methods Original Paper Theoretical and Applied Mechanics Àrees temàtiques de la UPC |
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