The RAMSES code, developed under the responsibility of R. Teyssier, is a development platform for solving mainly hyperbolic equation systems in an adaptive mesh refinement structure (AMR). For the time being, the basic mesh is Cartesian. We have planned to extend it to cylindrical and spherical meshing in 2004. The modules that have been developed so far are being massively used in cosmology (p...

This paper present an algorithm based on finite element modelling of 3D solid volumetric, suitable for real-time animation and for haptic interaction, particularly for surgical simulator. The techniques used now by most surgical simulators are based on approximate methods that do not represent an accurate behaviour of the deformable bodies. The finite element method (FEM) is an alternative beca...

We present adaptive preconditioners for parallel, time-dependent simulations and nonlinear optimization problems with dynamic mesh adaptation. Adaptive meshing greatly reduces the computational cost of simulations and optimization. Unfortunately, it also carries a number of problems for preconditioning in iterative linear solvers, as changes in the mesh lead to structural changes in the linear ...

Multi-element wings are popular in the aerospace community due to their high lift performance. Turbulent flow simulations of these configurations require very fine mesh spacings especially near the walls, thereby making use of a boundary layer mesh necessary. However, it is difficult to accurately determine the required mesh resolution a priori to the simulations. In this paper we use an anisot...

Creating an appropriate mesh is one of demanding tasks of many global illumination algorithms. Discontinuity meshing proved to diminish artifacts caused by other meshing strategies. Since naive discontinuity meshing would produce a great amount of geometric computations, accelerating techniques are usually involved. In this paper, we present results obtained with help of k-discrete orientation ...

We present a method for the adaptive reconstruction of a surface directly from an unorganized point cloud. The algorithm is based on an incrementally expanding Neural Network and the statistical analysis of its Learning process. In particular, we make use of the simple observation that during the Learning process the normal of a vertex near a sharp edge or a high curvature area of the target sp...

Finite element analysts and designers need to feel confident in the results of their analyses before sending a product to prototype or production. Mesh discretization can greatly influence the desired results. In this paper we present framework for adaptive mesh refinement to obtain FEA results with a desired accuracy. The process involves adaptively refining the mesh based on solution error no...

A computational mesh defines the discretization of the problem of interest. The mesh provides the geometric and topological basis on which the equations that describe the problem are solved. Mesh generation is an enabling technology for modern computational analysis, as the feasibility of performing a simulation of a complex assembly, such as a nuclear reactor core, is strongly influenced by th...

Considerable progress has been made on automatic hexahedral mesh generation in recent years. Several automatic meshing algorithms have proven to be very reliable on certain classes of geometry. While it is always worth pursuing general algorithms viable on more general geometry, a combination of the well-established algorithms is ready to take on classes of complicated geometry. By partitioning...