Development and Applications of PDE Solvers on Octree Adaptive Grids
Date and Time:
Friday, January 29, 2016 - 04:00
Frederic Gibou, Professor and MechE Graduate Program Director, University of California, Santa Barbara
It is well recognized that computational science is the third pillar of discovery along with theory and experiments. The challenges to modern scientific computing are (1) multiscale nature of most important physical phenomena, with a dynamic coupling between smaller and larger scales, (2) the need to impose non-trivial boundary conditions on irregular domain or on moving boundaries and (3) the need to perform large 3 dimensional simulations.
Professor Gibou’s research group’s strategy is to develop computational methods on Cartesian grids. The advantage of this approach is that they do not need to impose the mesh to conform to the boundary of irregular domains or a moving free boundary and thus avoids the difficulties associated with the meshing procedures of body-fitted-like approaches. In this talk, Professor Gibou will present computational methods they have developed on adaptive Octree grids, which enable to capture small length scales at the continuum level, without having to refine the entire domain.
Professor Gibou is a faculty member in the Department of Mechanical Engineering, in the Department of Computer Science and in the Department of Mathematics at the University of California, Santa Barbara. He is also a core faculty member in the Computational Science and Engineering program. He received his PhD from the Applied Mathematics Department at UCLA, and did his post-doctoral research in the Departments of Mathematics and Computer Science at Stanford University. The research of Professor Gibou is at the interface between Applied Mathematics, Computer Science and Engineering Sciences. It is focused on the design of a novel paradigm for high resolution computational methods for large scale computations and their use for a variety of applications including Computational Materials Science, Computational Fluid Dynamics and Computational Image Analysis. Professor Gibou leads a multidisciplinary research group, named Computational Applied Science Laboratory (CASL).