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The construction of solution-adapted meshes is addressed within an optimization framework. An approximation of the second spatial derivative of the solution is used to get a suitable metric in the computational domain. A mesh quality is proposed and optimized under this metric, accounting for both the shape and the size of the elements. For this purpose, a… (More)

We propose a new optimization strategy for unstructured meshes that, when coupled with existing automatic generators, produces meshes of high quality for arbitrary domains in 3D. Our optimizer is based upon a non-differentiable definition of the quality of the mesh which is natural for finite element or finite volume users: The quality of the worst element… (More)

In this paper we define and analyze a posteriori error estimators for nonconforming approximations of the Stokes equations. We prove that these estimators are equivalent to an appropriate norm of the error. For the case of piecewise linear elements we define two estimators. Both of them are easy to compute, but the second is simpler because it can be… (More)

Abstract. The Level Set Method is becoming increasingly popular for the simulation of several problems that involve interfaces. The level set function is advected by some velocity field, with the zero-level set of the function defining the position of the interface.The advection distorts the initial shape of the level set function, which needs to be… (More)

In this paper we describe and evaluate a geometric mass-preserving redistancing procedure for the level set function on general structured grids. The proposed algorithm is adapted from a recent finite element-based method and preserves the mass by means of a localized mass correction. A salient feature of the scheme is the absence of adjustable parameters.… (More)

We discuss an optimization procedure for improving three-dimensional finite element meshes. Our method can be effectively coupled with any automatic mesh generator in order to obtain a triangulation without badly distorted elements. In this way, we are able to weaken the requirements on the generator, allowing it to produce singular elements, and… (More)

The use of Object Oriented Programming (OOP) for automatic mesh generaton for Finite Element Analysis is presented in this paper. Aspects related to the geometry definition, meshing characteristics, triangular elements generation, data structures and implementation aspects are also discussed. Graphical examples generated by C++ code running on a PC are also… (More)

Though the mathematical theory of classical linear elasticity is well established, there still lack some ingredients toward the numerical solution of real technological problems. In this paper we address one of these critical ingredients, namely the automatic construction of three-dimensional meshes in arbitrary geometries. Several methods exist for this… (More)

- Gustavo C. Bus aglia, Hugo E. Ferrari, Pablo M. Carri, Enzo A. Dari
- 2007

investigation of lift for e on a freely-rotating sphere in simple shear ow Gustavo C. Bus aglia, Hugo E. Ferrari, Pablo M. Carri a and Enzo A. Dari Centro At omi o Barilo he and Instituto Balseiro 8400 Barilo he, Argentina Abstra t An appli ation of \ luster omputing" in finite element CFD is reported, demonstrating the feasibility of solving relevant 3D… (More)

- Gustavo C. Buscaglia, Enzo A. Dari, Daniela L. Arnica, Axel E. Larreteguy, Claudio Mazufri

Though Computational Fluid Dynamics (CFD) is recognized as an emerging engineering tool, it is not infrequent that engineering projects make little or no use of it during the early design stages. CFD codes, if used at all, are left for the final stages in which an already finished design is tested to confirm its performance before construction. Scaled… (More)