Small dust grain dynamics on adaptive mesh refinement grids

Elliptic Solvers for Adaptive Mesh Refinement Grids

We are developing multigrid methods that will efficiently solve elliptic problems with anisotropic and discontinuous coefficients on adaptive grids. The final product will be a library that provides for the simplified solution of such problems. This library will directly benefit the efforts of other Laboratory groups. The focus of this work is research on serial and parallel elliptic algorithms...

Adaptive Mesh Refinement for Characteristic Grids

I consider techniques for Berger-Oliger adaptive mesh refinement (AMR) when numerically solving partial differential equations with wave-like solutions, using characteristic (double-null) grids. Such AMR algorithms are naturally recursive, and the bestknown past Berger-Oliger characteristic AMR algorithm, that of Pretorius & Lehner (J. Comp. Phys. 198 (2004), 10), recurses on individual “diamon...

An adaptive mesh refinement technique for dynamics of solids

Adaptive Mesh Refinement for Multiscale

plied and theoretical physics is to fully understand and predict the behavior of systems far from thermodynamic equilibrium,1–4 including those systems driven by an external force or experiencing a sudden change in environment (such as pressure or temperature). They also include systems transitioning from one metastable or long-lived state to another. The need to accurately model and numericall...

Self-adaptive grids for noise mapping refinement

Keywords: Noise mapping Grid refinement Uncertainty Interpolation GIS Noise maps are usually represented as contour or isolines maps describing the sound levels in a region. Using this kind of representation the user can easily find the noise level assigned to every location in the map. But the acoustic calculations behind the map are not performed for every single location on it; they are only...