An Eulerian numerical method for geometric optics

An Eulerian Numerical Method for Geometric Optics

R esum e. La description classique du probl eme de l'optique g eom etrique est La-grangienne. Le passage a la repr esentation Eul erienne est possible mais, en pr esence de caustiques, ne permet pas de calculer la solution Lagrangienne compl ete. On pr esente le contexte math ematique du probl eme ainsi que quelques outils num eriques d evelop-p es pour lever cette limitation. Abstract. The cla...

Nonlinear Geometric Optics method based multi-scale numerical schemes for highly-oscillatory transport equations

We introduce a new numerical strategy to solve a class of oscillatory transport PDE models which is able to capture accurately the solutions without numerically resolving the high frequency oscillations in both space and time. Such PDE models arise in semiclassical modeling of quantum dynamics with band-crossings, and other highly oscillatory waves. Our first main idea is to use the nonlinear g...

Evaluation of Eulerian Two-Fluid Numerical Method for the Simulation of Heat Transfer in Fluidized Beds

Accurate modeling of fluidization and heat transfer phenomena in gas-solid fluidized beds is not solely dependent  on the particular selected numerical model and involved algorithms. In fact, choosing the right model for each specific operating condition, the correct implementation of each model, and the right choice of parameters and boundary conditions, determine the accuracy of the results i...

An Introduction to Eulerian Geometrical Optics (1992-2002)

HAL is a multidisciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L'archive ouverte pluridisciplinaire HAL, est destinée au dépôt età la diffusion de documents scientifiques de niveau r...

development of an explicit eulerian method for treating particle laden turbulent flow in dust collectors