Three embedded techniques for finite element heat flow problem with embedded discontinuities
| Autor: | Pooyan Dadvand, Riccardo Rossi, Masud Davari |
|---|---|
| Přispěvatelé: | Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. RMEE - Grup de Resistència de Materials i Estructures en l'Enginyeria, Universitat Politècnica de Catalunya. GMNE - Grup de Mètodes Numèrics en Enginyeria |
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Engineering
Civil Calor -- Conducció -- Models matemàtics Computational Mechanics Engineering Multidisciplinary Ocean Engineering Shape function 010103 numerical & computational mathematics Classification of discontinuities Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits [Àrees temàtiques de la UPC] 01 natural sciences Física::Termodinàmica::Física de la transmissió de la calor [Àrees temàtiques de la UPC] symbols.namesake Heat flux--Mathematical models Finite element Engineering Ocean 0101 mathematics Engineering Aerospace Engineering Biomedical Mathematics Extended finite element method Applied Mathematics Mechanical Engineering Degrees of freedom Mathematical analysis Mixed finite element method Computer Science Software Engineering Engineering Marine Finite element method Engineering Manufacturing Engineering Mechanical 010101 applied mathematics Computational Mathematics Discontinuity (linguistics) Computational Theory and Mathematics Discontinuities Dirichlet boundary condition Engineering Industrial symbols Graph (abstract data type) |
| Zdroj: | UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) Scipedia Open Access Scipedia SL Recercat. Dipósit de la Recerca de Catalunya instname |
| DOI: | 10.1007/s00466-017-1382-7 |
| Popis: | The final publication is available at Springer via http://dx.doi.org/10.1007/s00466-017-1382-7 The present paper explores the solution of a heat conduction problem considering discontinuities embedded within the mesh and aligned at arbitrary angles with respect to the mesh edges. Three alternative approaches are proposed as solutions to the problem. The difference between these approaches compared to alternatives, such as the eXtended Finite Element Method (X-FEM), is that the current proposal attempts to preserve the global matrix graph in order to improve performance. The first two alternatives comprise an enrichment of the Finite Element (FE) space obtained through the addition of some new local degrees of freedom to allow capturing discontinuities within the element. The new degrees of freedom are statically condensed prior to assembly, so that the graph of the final system is not changed. The third approach is based on the use of modified FE-shape functions that substitute the standard ones on the cut elements. The imposition of both Neumann and Dirichlet boundary conditions is considered at the embedded interface. The results of all the proposed methods are then compared with a reference solution obtained using the standard FE on a mesh containing the actual discontinuity. |
| Databáze: | OpenAIRE |
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