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LANS Informal Seminar: Yulia Peet
February 10, 2011 @ 15:00 CST
Seminar Title: On stability of grid overlapping methods
Speaker: Yulia Peet, MCS & Northwestern University
Date/Time: 2011-02-10 15:00
Location: Bldg 240 Conference Center 1404-1405
Description:
It is well known that grid overlapping methods represent a powerful tool for simulating engineering problems in complex geometries, since they alleviate mesh generation process, provide a convenient way of resolution control and even allow for modeling different physics in multiphysics systems. In this talk, we concentrate on stability of grid overlapping methods, namely how the choice of temporal discretization of interface terms influences stability properties. Matrix stability analysis is performed on a model problem of one-dimensional heat equation on overlapping grids. We obtain the estimates of the spectral radius of the corresponding discrete matrix operators, allowing us to judge the stability of different order schemes. Influence of iterations on stability properties is also investigated. Numerical experiments are then presented relating obtained stability bounds to the observed numerical values. We also describe the implementation of grid overlapping techniques into the spectral element solver NEK5000 and introduce some interesting problems which can be efficiently solved with the multidomain version of the code.