TY - JOUR
T1 - Chapter 13 Collocation Solution of the Transport Equation Using a Locally Enhanced Alternating Direction Formulation
AU - Celia, Michael Anthony
AU - Pinder, G. F.
N1 - Funding Information:
This work was supported in part by the Department of Energy under contract DE-AC02-83ER60170 and also bv the National Science Foundation under contract NSF CEE81-11240. Thanks are given to Dr. Linda !!. Abriola for her helpful discussions concerning the splitting scheme. The contribution of Dr. Robert Cleary, who sunplied the computed code for the analytical solution used herein, i s also appreciated.
PY - 1984/1/1
Y1 - 1984/1/1
N2 - This chapter presents a modification of the alternating-direction collocation (ADC) procedure designed to achieve enhanced accuracy in the neighborhood of a sharp front. The method achieves high-order accuracy while benefitting from the computational efficiencies inherent in the alternating direction procedure. The chapter reviews the ADC method and builds the enhancement procedure. The enhanced ADC method is applied to an example problem. The chapter considers only rectangular subspaces and describes the enhancement-element procedure.
AB - This chapter presents a modification of the alternating-direction collocation (ADC) procedure designed to achieve enhanced accuracy in the neighborhood of a sharp front. The method achieves high-order accuracy while benefitting from the computational efficiencies inherent in the alternating direction procedure. The chapter reviews the ADC method and builds the enhancement procedure. The enhanced ADC method is applied to an example problem. The chapter considers only rectangular subspaces and describes the enhancement-element procedure.
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U2 - 10.1016/S0304-0208(08)72630-6
DO - 10.1016/S0304-0208(08)72630-6
M3 - Article
AN - SCOPUS:77956921049
SN - 0304-0208
VL - 94
SP - 303
EP - 320
JO - North-Holland Mathematics Studies
JF - North-Holland Mathematics Studies
IS - C
ER -