TY - JOUR
T1 - Intermediate dirichlet boundary conditions for operator splitting algorithms for the advection-diffusion equation
AU - Khan, Liaqat Ali
AU - Liu, Philip L.F.
N1 - Funding Information:
Acknowledgemenu-The research reported in this paper was in part supported by a research grant from the Xerox Corporation to Cornell University. During the course of study, LAK has also been supported by a Fellowship from the DeFrees Foundation. This research was conducted using the Cornell National Supercomputer Facility, which receivesm ajor funding from the National Science Foundation and IBM Corporation, and with additional support from New York State and members of the Corporate Research Institute.
PY - 1995/5
Y1 - 1995/5
N2 - When operator splitting algorithms are used to solve the advection-diffusion equation, it is necessary to derive boundary conditions applicable to the split advection and diffusion equations. In this paper intermediate Dirichlet boundary conditions are formulated for Strang type splitting algorithms for the one-dimensional advection-diffusion equation. The derived boundary conditions are applicable to advection dominated problems and are O(min(kε{lunate}3, k2ε{lunate}2)) accurate, where k is the computational time step and ε{lunate} < 1 is the reciprocal of Peclet number.
AB - When operator splitting algorithms are used to solve the advection-diffusion equation, it is necessary to derive boundary conditions applicable to the split advection and diffusion equations. In this paper intermediate Dirichlet boundary conditions are formulated for Strang type splitting algorithms for the one-dimensional advection-diffusion equation. The derived boundary conditions are applicable to advection dominated problems and are O(min(kε{lunate}3, k2ε{lunate}2)) accurate, where k is the computational time step and ε{lunate} < 1 is the reciprocal of Peclet number.
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U2 - 10.1016/0045-7930(94)00039-2
DO - 10.1016/0045-7930(94)00039-2
M3 - Article
AN - SCOPUS:0029294296
SN - 0045-7930
VL - 24
SP - 447
EP - 458
JO - Computers and Fluids
JF - Computers and Fluids
IS - 4
ER -