An augmented Lagrangian formulation to impose boundary conditions for distortion based mesh moving and curving
10.1016/j.proeng.2017.09.820
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/110489
Tipus de documentArticle
Data publicació2017
EditorElsevier
Condicions d'accésAccés obert
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continguts d'aquesta obra estan subjectes a la llicència de Creative Commons
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Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
ProjecteTesseract - Best Curved Adapted Meshes for Space-Time Flow Simulations (EC-H2020-715546)
INTEGRACION DE NUEVAS METODOLOGIAS PARA LA PLANIFICACION Y ANALISIS MEDIOAMBIENTAL DE YACIMIENTOS PETROLIFEROS (MINECO-CTM2014-55014-C3-3-R)
INTEGRACION DE NUEVAS METODOLOGIAS PARA LA PLANIFICACION Y ANALISIS MEDIOAMBIENTAL DE YACIMIENTOS PETROLIFEROS (MINECO-CTM2014-55014-C3-3-R)
Abstract
We formulate a mesh morphing technique as mesh distortion minimization problem constrained to weakly satisfy the imposed displacement of the boundary nodes. The method is devised to penalize the appearance of inverted elements during the optimization process. Accordingly, we have not equipped the method with untangling capabilities. To solve the constrained minimization problem, we apply the augmented Lagrangian technique to incorporate the boundary condition in the objective function using the Lagrangian multipliers and a penalty parameter. We have applied the proposed formulation to mesh moving and mesh curving problems. The results show that the method has the ability to deal with large displacements for 2D and 3D meshes with non-uniform sizing, and mesh curving of highly stretched 2D high-order meshes.
CitacióRuiz-Gironés, E. [et al.]. An augmented Lagrangian formulation to impose boundary conditions for distortion based mesh moving and curving. "Procedia Engineering", 2017, vol. 203, p. 362-374.
ISSN1877-7058
Versió de l'editorhttp://www.sciencedirect.com/science/article/pii/S1877705817343837
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