Friday,
October 2, 1998, 10:40 a.m. in GWC Room 604
K.-L. Tse
Department of Mathematics
Spectral single and multi-domain method for penetrative convection problem and problems with infinite domain
Abstract
The penetrative convection problem with infinite domain is
simulated by spectral method. Both Hermite functions and
Chebyshev polynomials with algebraic mapping are used and
compared. The domain is then decomposed vertically into
several subdomains. Collocation method with adaptive
boundary generation is then used. From the test problem,
the last method is most efficient without much sacrifice
of accuracy. The computer code for the penetrative convection
problem is parallelized and the method of parallelization
will also be discussed.