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Title:
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An augmented Lagrangian formulation to impose boundary conditions for distortion based mesh moving and curving
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Author:
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Ruiz Gironès, Eloi; Gargallo Peiró, Abel; Sarrate Ramos, Josep; Roca Navarro, Francisco Javier
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Other authors:
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Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
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Abstract:
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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. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Optimització
-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
-Operations research
-Difference equations--Numerical solutions
-Mesh morphing
-mesh moving
-mesh curving
-smoothing
-boundary displacements
-augmented Lagrangian
-Investigació operativa
-Equacions diferencials--solucions numèriques
-Classificació AMS::90 Operations research, mathematical programming::90B Operations research and management science
-Classificació AMS::65 Numerical analysis::65L Ordinary differential equations |
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Rights:
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Document type:
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Article - Submitted version
Conference Object |
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Published by:
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Elsevier
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