TY - GEN
T1 - A two-weight scheme for a time-dependent advection-diffusion problem
AU - Chadha, Naresh M.
AU - Madden, Niall
N1 - C. Carmelo, J. L. Gracia, and F. J. Lisbona
PY - 2011
Y1 - 2011
N2 - We consider a family of two-weight finite difference schemes for a time-dependent advection-diffusion problem. For a given uniform grid-spacing in time and space, and for a fixed value of advection and diffusion parameters, we demonstrate how to optimally choose these weights by means of the notion of an equivalent differential equation. We also provide a geometric interpretation of the weights. We present numerical results that demonstrate that the approach is superior to other commonly used methods that also fit into the framework of a two-weight scheme.
AB - We consider a family of two-weight finite difference schemes for a time-dependent advection-diffusion problem. For a given uniform grid-spacing in time and space, and for a fixed value of advection and diffusion parameters, we demonstrate how to optimally choose these weights by means of the notion of an equivalent differential equation. We also provide a geometric interpretation of the weights. We present numerical results that demonstrate that the approach is superior to other commonly used methods that also fit into the framework of a two-weight scheme.
UR - https://www.scopus.com/pages/publications/79957926775
U2 - 10.1007/978-3-642-19665-2_11
DO - 10.1007/978-3-642-19665-2_11
M3 - Conference Publication
SN - 9783642196645
T3 - Lecture Notes in Computational Science and Engineering
SP - 99
EP - 108
BT - BAIL 2010 - Boundary and Interior Layers, Computational and Asymptotic Methods
T2 - Boundary and Interior Layers, Computational and Asymptotic Methods, BAIL 2010
Y2 - 5 July 2010 through 9 July 2010
ER -