Lagrangian versus Eulerian integration errors
The possibility to use a Lagrangian frame to solve problems with large time-steps was successfully explored previously by the authors for the solution of homogeneous incompressible fluids and also for solving multi-fluid problems (Idelsohn et al. 2012; 2014; 2013). The strategy used by the authors w...
| Autores: | , , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| 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:2117/82970 |
| Acceso en línea: | https://hdl.handle.net/2117/82970 https://dx.doi.org/10.1016/j.cma.2015.04.003 |
| Access Level: | acceso abierto |
| Palabra clave: | Numerical integration Numerical integration errors Particle methods Multi-fluids flows Lagrange formulations Incompressible Navier–Stokes equations Integració numèrica Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics |
| Sumario: | The possibility to use a Lagrangian frame to solve problems with large time-steps was successfully explored previously by the authors for the solution of homogeneous incompressible fluids and also for solving multi-fluid problems (Idelsohn et al. 2012; 2014; 2013). The strategy used by the authors was named Particle Finite Element Method second generation (PFEM-2). The objective of this paper is to demonstrate in which circumstances the use of a Lagrangian frame with particles is more accurate than a classical Eulerian finite element method, and when large time-steps and/or coarse meshes may be used. |
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