Chapter 13 Collocation Solution of the Transport Equation Using a Locally Enhanced Alternating Direction Formulation

Michael Anthony Celia; G. F. Pinder

doi:10.1016/S0304-0208(08)72630-6

Chapter 13 Collocation Solution of the Transport Equation Using a Locally Enhanced Alternating Direction Formulation

Michael Anthony Celia, G. F. Pinder

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	303-320
Number of pages	18
Journal	North-Holland Mathematics Studies
Volume	94
Issue number	C
DOIs	https://doi.org/10.1016/S0304-0208(08)72630-6
State	Published - Jan 1 1984

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/S0304-0208(08)72630-6

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title = "Chapter 13 Collocation Solution of the Transport Equation Using a Locally Enhanced Alternating Direction Formulation",

abstract = "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.",

author = "Celia, {Michael Anthony} and Pinder, {G. F.}",

note = "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.",

year = "1984",

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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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Chapter 13 Collocation Solution of the Transport Equation Using a Locally Enhanced Alternating Direction Formulation

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