This paper gives a numerical validation of the continuous mesh framework introduced in Part I [A. Loseille and F. Alauzet, SIAM J. Numer. Anal., 49 (2011), pp. 38â€“60]. We numerically show that theâ€¦ (More)

In the context of mesh adaptation, Riemannian metric spaces have been used to prescribe orientation, density and stretching of anisotropic meshes. But, such structures are only considered to computeâ€¦ (More)

This report presents an accurate approach to simulate the sonic boom of a supersonic aircraft. The near-field flow is modeled by the conservative Euler equations and is solved using a vertex-centeredâ€¦ (More)

In the context of mesh adaptation, Riemannian metric spaces have been used to prescribe orientation, density and stretching of anisotropic meshes. Such structures are used to compute lengths inâ€¦ (More)

This paper studies the coupling between anisotropic mesh adaptation and goal-oriented error estimate. The former is very well suited to the control of the interpolation error. It is generallyâ€¦ (More)

In the context of steady CFD computations, some numerical experiments point out that only a global mesh convergence order of one is numerically reached on a sequence of uniformly refined meshesâ€¦ (More)

Mesh adaptation is considered here as the research of an optimum that minimizes the P1 interpolation error of a function u of R given a number of vertices. A continuous modeling is described byâ€¦ (More)

This paper addresses classical issues that arise when applying anisotropic mesh adaptation to real-life 3D problems as the loss of anisotropy or the necessity to truncate the minimal size whenâ€¦ (More)

This paper presents an accurate approach to simulate the sonic boom of supersonic aircrafts. The near-field flow is modeled by the conservative Euler equations and is solved using a vertex-centeredâ€¦ (More)