Improving the numerical modeling of river water quality by using high order difference schemes

Stamou, AI

dc.contributor.author	Stamou, AI	en
dc.date.accessioned	2014-03-01T01:08:53Z
dc.date.available	2014-03-01T01:08:53Z
dc.date.issued	1992	en
dc.identifier.issn	0043-1354	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10718
dc.subject	WATER QUALITY	en
dc.subject	RIVER MODELING	en
dc.subject	DIFFERENCE SCHEMES	en
dc.subject	QUICK	en
dc.subject	QUICKEST	en
dc.subject	NUMERICAL DISPERSION	en
dc.subject.classification	Engineering, Environmental	en
dc.subject.classification	Environmental Sciences	en
dc.subject.classification	Water Resources	en
dc.subject.other	Mathematical models	en
dc.subject.other	Statistical methods	en
dc.subject.other	Transients	en
dc.subject.other	Water quality	en
dc.subject.other	Difference schemes	en
dc.subject.other	Numerical modeling	en
dc.subject.other	River water quality	en
dc.subject.other	Steady state problems	en
dc.subject.other	Third order truncation errors	en
dc.subject.other	Rivers	en
dc.subject.other	river water	en
dc.subject.other	accuracy	en
dc.subject.other	article	en
dc.subject.other	dispersion	en
dc.subject.other	error	en
dc.subject.other	mathematical model	en
dc.subject.other	steady state	en
dc.subject.other	water quality	en
dc.subject.other	difference scheme	en
dc.subject.other	numerical dispersion	en
dc.subject.other	numerical model	en
dc.subject.other	QUICK	en
dc.subject.other	QUICKEST	en
dc.subject.other	river water quality	en
dc.title	Improving the numerical modeling of river water quality by using high order difference schemes	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0043-1354(92)90154-V	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0043-1354(92)90154-V	en
heal.language	English	en
heal.publicationDate	1992	en
heal.abstract	A one-dimensional numerical model is presented for the description of water quality in rivers. The model is an improvement over existing models, since it involves two differential schemes of third-order truncation error (QUICK and QUICKEST), which avoid the stability problems of central difference, while remaining relatively free of the inaccuracies of numerical dispersion associated with the upwind difference scheme. The model is successfully applied to four simple, steady-state and transient water quality problems. Results show that the commonly used upwind scheme performs very poorly. The central difference scheme performs satisfactorily in steady-state implicit calculations, but not in transient problems, where it shows numerical dispersion and significant oscillations. Calculations with QUICK and QUICKEST are stable and accurate involving the minimum error and minimum level of numerical dispersion in both steady-state and transient problems.A one-dimensional numerical model is presented for the description of water quality in rivers. The model is an improvement over existing models, since it involves two differential schemes of third-order truncation error (QUICK and QUICKEST), which avoid the stability problems of central difference, while remaining relatively free of the inaccuracies of numerical dispersion associated with the upwind difference scheme. The model is successfully applied to four simple, steady-state and transient water quality problems. Results show that the commonly used upwind scheme performs very poorly. The central difference scheme performs satisfactorily in steady-state implicit calculations, but not in transient problems, where it shows numerical dispersion and significant oscillations. Calculations with QUICK and QUICKEST are stable and accurate involving the minimum error and minimum level of numerical dispersion in both steady-state and transient problems.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Water Research	en
dc.identifier.doi	10.1016/0043-1354(92)90154-V	en
dc.identifier.isi	ISI:A1992JX59600001	en
dc.identifier.volume	26	en
dc.identifier.issue	12	en
dc.identifier.spage	1563	en
dc.identifier.epage	1570	en