Updated Lagrangian formulation for corrected smooth particle hydrodynamics

Smooth Particle Hydrodynamics (SPH) are, in general, more robust than finite elements for large distortion problems. Nevertheless, updating the reference configuration may be necessary in some problems involving extremely large distortions. If a standard updated formulation is implemented in SPH zer...

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Detalles Bibliográficos
Autores: Huerta, Antonio|||0000-0003-4198-3798, Vidal Seguí, Yolanda|||0000-0003-4964-6948, Bonet Carbonell, Javier|||0000-0002-0430-5181
Tipo de recurso: artículo
Fecha de publicación:2006
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:2117/8535
Acceso en línea:https://hdl.handle.net/2117/8535
https://dx.doi.org/10.1142/S0219876206001120
Access Level:acceso abierto
Palabra clave:Hydrodynamics--Mathematical models
Corrected SPH
total Lagrangian formulation
large deformations
Hidrodinàmica -- Mètodes numèrics
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
Àrees temàtiques de la UPC::Física::Física de fluids
Descripción
Sumario:Smooth Particle Hydrodynamics (SPH) are, in general, more robust than finite elements for large distortion problems. Nevertheless, updating the reference configuration may be necessary in some problems involving extremely large distortions. If a standard updated formulation is implemented in SPH zero energy modes are activated and spoil the solution. It is important to note that the updated Lagrangian does not present tension instability but only zero energy modes. Here an stabilization technique is incorporated to the updated formulation to obtain an improved method without mechanisms.