References of "Remacle, Jean-François"
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See detailEfficient Computation of the Extrema of Algebraic Quality Measures for Curvilinear Finite Elements
Johnen, Amaury ULg; Geuzaine, Christophe ULg; remacle, Jean-François

Conference (2016, June)

The development of high-order computational methods for solving partial differential equations on unstructured grids has been underway for many years. Such methods critically depend on the availability of ... [more ▼]

The development of high-order computational methods for solving partial differential equations on unstructured grids has been underway for many years. Such methods critically depend on the availability of high-quality curvilinear meshes, as one bad element can degrade the solution in the whole domain. The usual way of generating curved meshes is to first generate a (high-quality) straight-sided mesh. Then, mesh entities that are classified on the boundaries of the domain are curved. This operation introduces a "shape-distortion" that should be controlled. Quality measures allow to quantify to which point an element is well-shaped. They also provide tools to improve the quality of meshes through optimization. In this work we propose an efficient method to compute several quality measures for curved elements, based on the Jacobian of the mapping between the straight-sided elements and the curved ones. Contrary to the approach presented in "A. Gargallo-Peiró, X. Roca, J. Peraire, and J. Sarrate. Distortion and quality measures for validating and generating high-order tetrahedral meshes. Engineering with Computers, pages 1–15, 2014.", which relies on an L2-norm over the elements, we compute the actual minimum and maximum of the local quality measure for each element. The method is an extension of previous works on the validity of those elements (A. Johnen et al., 2013). The key feature is that we can adaptively expand functions based on the Jacobian matrix and its determinant in terms of Bézier functions. Bézier functions have both properties of boundedness and positivity, which allow sharp computation of minimum or maximum of the interpolated functions. [less ▲]

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See detailThe generation of valid curvilinear meshes
Geuzaine, Christophe ULg; Johnen, Amaury ULg; Lambrechts, Jonathan et al

in IDIHOM: Industrialization of High-Order Methods - A Top-Down Approach (2015)

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See detailOptimizing the geometrical accuracy of 2D curvilinear finite element meshes
Remacle, Jean-François; Lambrechts, Jonathan; Toulorge, Thomas et al

Conference (2014, June 27)

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See detailHigh-order mesh generation for CFD
Toulorge, Thomas; Geuzaine, Christophe ULg; Johnen, Amaury ULg et al

Conference (2014)

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See detailGeometrical validity of high-order triangular finite elements
Johnen, Amaury ULg; Remacle, Jean-François; Geuzaine, Christophe ULg

in Engineering with Computers (2014), 30(3), 375-382

This paper presents a method to compute accurate bounds on Jacobian determinants of high-order (curvilinear) triangular finite elements. This method can be used to guarantee that a curvilinear triangle is ... [more ▼]

This paper presents a method to compute accurate bounds on Jacobian determinants of high-order (curvilinear) triangular finite elements. This method can be used to guarantee that a curvilinear triangle is geometrically valid, i.e., that its Jacobian determinant is strictly positive everywhere in its reference domain. It also provides an efficient way to measure the quality the triangles. The key feature of the method is to expand the Jacobian determinant using a polynomial basis, built using Bézier functions, that has both properties of boundedness and positivity. Numerical results show the sharpness of our estimates. [less ▲]

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See detailHigh-order mesh generation for CFD with aeronautical applications
Toulorge, Thomas; Geuzaine, Christophe ULg; Johnen, Amaury ULg et al

Conference (2014)

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See detailOptimizing the geometrical accuracy of 2D curvilinear meshes
Remacle, Jean-François; Lambrechts, Jonathan; Geuzaine, Christophe ULg et al

in Procedia Engineering (2014), 82

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See detailOptimal parametrizations for surface remeshing
Marchandise, Emilie; Remacle, Jean-François; Geuzaine, Christophe ULg

in Engineering with Computers (2014), 30(3), 383-402

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See detailA frontal approach to hex-dominant mesh generation
Baudouin, Tristan Carrier; Remacle, Jean-François; Marchandise, Emilie et al

in Advanced Modeling and Simulation in Engineering Sciences (2014), 1(1), 1-30

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See detailFifth International Conference on Advanced COmputational Methods in ENgineering (ACOMEN 2011)
Béchet, Eric ULg; Dick, Erik; Geuzaine, Christophe ULg et al

in International Journal of Computational & Applied Mathematics (2013), 246

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See detailNew mesh generation developments in GMSH
Remacle, Jean-François; Johnen, Amaury ULg; Lambrechts, Jonathan et al

Conference (2013)

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See detailNumerical simulation of CAD thin structures using the eXtended Finite Element Method and Level Sets
Legrain, Grégory; Geuzaine, Christophe ULg; Remacle, Jean-François et al

in Finite Elements in Analysis and Design (2013), 77

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See detailRobust untangling of curvilinear meshes
Toulorge, Thomas; Geuzaine, Christophe ULg; Remacle, Jean-François et al

in Journal of Computational Physics (2013), 254

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See detailCardiovascular and lung mesh generation based on centerlines
Marchandise, E.; Geuzaine, Christophe ULg; Remacle, Jean-Francois

in International journal for numerical methods in biomedical engineering (2013), 29(6), 665-682

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See detailONELAB: Open Numerical Engineering LABoratory
Geuzaine, Christophe ULg; Henrotte, François; Remacle, Jean-François et al

in Actes du 11e Colloque National en Calcul des Structures (CSMA 2013), Giens, France (2013)

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See detailGeneration of provably correct high-order meshes
Toulorge, Thomas; Geuzaine, Christophe ULg; Remacle, Jean-François et al

in Advances in Computational Mechanics (ACM 2013) - Finite Elements in Flow Problems (FEF 2013) (2013)

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See detailBlossom-Quad: a non-uniform quadrilateral mesh generator using a minimum cost perfect matching algorithm
Remacle, Jean-François; Lambrechts, Jonathan; Seny, Bruno et al

in International Journal for Numerical Methods in Engineering (2012), 89(9), 1102-1119

A new indirect way of producing all-quad meshes is presented. The method takes advantage of a well-known algorithm of the graph theory, namely the Blossom algorithm, that computes the minimum-cost perfect ... [more ▼]

A new indirect way of producing all-quad meshes is presented. The method takes advantage of a well-known algorithm of the graph theory, namely the Blossom algorithm, that computes the minimum-cost perfect matching in a graph in polynomial time. The new Blossom-Quad algorithm is compared with standard indirect procedures. Meshes produced by the new approach are better both in terms of element shape and in terms of size field efficiency. [less ▲]

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See detailEfficient evaluation of the geometrical validity of curvilinear finite elements
Johnen, Amaury ULg; Remacle, Jean-François; Geuzaine, Christophe ULg

Conference (2011, November 14)

The development of high-order numerical techniques on unstructured grids has been underway for many years. The accuracy of these methods strongly depends of the accuracy of the geometrical discretization ... [more ▼]

The development of high-order numerical techniques on unstructured grids has been underway for many years. The accuracy of these methods strongly depends of the accuracy of the geometrical discretization, and thus depends on the availability of quality curvilinear meshes. The usual way of building such curvilinear meshes is to first generate a straight sided mesh. Then, mesh entities that are classified on the curved boundaries of the domain are curved accordingly. Some internal mesh entities may be curved as well. If we assume that the straight sided mesh is composed of well shaped elements, curving elements introduces a kind of "shape distortion" that should be controlled so that the final curvilinear mesh is also composed of well shaped elements. In this work we propose a method to analyze curvilinear meshes in terms of their elementary jacobians. The method does not deal with the actual generation of the high order mesh. Instead, it provides an efficient way to guarantee that a curvilinear element is geometrically valid, i.e., that its jacobian is strictly positive in all its reference domain. It also provides a way to measure the distortion of the curvilinear element. The key feature of the method is to adaptively expand the elementary jacobians in a polynomial basis, built using Bézier functions, that has both properties of boundedness and positivity. The algorithm has been implemented in the open-source mesh generator Gmsh, and allows to control the geometrical validity of curvilinear meshes made of triangles, quadrangles, tetrahedra, hexahedra and prisms of any order. [less ▲]

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See detailProceedings of the 5th International Conference on Advanded COmputational Methods in Engineering (ACOMEN2011)
Hogge, Michel ULg; Van Keer, Roger; Dick, Erik et al

Book published by Université de Liège - Dépôt légal: D/2011/0480/31 (2011)

Detailed reference viewed: 53 (7 ULg)
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See detailGeometrical validity of curvilinear finite elements
Johnen, Amaury ULg; Remacle, Jean-François; Geuzaine, Christophe ULg

in William Roshan, Quadros (Ed.) Proceedings of the 20th International Meshing Roundtable (2011, October 25)

In this paper, we describe a way to compute accurate bounds on Jacobians of curvilinear finite elements of all kinds. Our condition enables to guarantee that an element is geometrically valid, i.e., that ... [more ▼]

In this paper, we describe a way to compute accurate bounds on Jacobians of curvilinear finite elements of all kinds. Our condition enables to guarantee that an element is geometrically valid, i.e., that its Jacobian is strictly positive everywhere in its reference domain. It also provides an efficient way to measure the distortion of curvilinear elements. The key feature of the method is to expand the Jacobian using a polynomial basis, built using Bézier functions, that has both properties of boundedness and positivity. Numerical results show the sharpness of our estimates. [less ▲]

Detailed reference viewed: 34 (11 ULg)