Transient flow analysis using the method of characteristics MOC with five-point interpolation scheme

An original 2nd-order Method of Characteristics (MOC) which it works with a five-point interpolating scheme valid for solving the hyperbolic and quasilinear partial differential equations that describe the transient flow phenomenon in pipelines is shown. The results obtained by both MOC 2nd-order an...

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Bibliographic Details
Main Author: Twyman,John
Language:English
Published: Universidad Católica de la Santísima Concepción 2018
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Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0718-28132018000200062
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Summary:An original 2nd-order Method of Characteristics (MOC) which it works with a five-point interpolating scheme valid for solving the hyperbolic and quasilinear partial differential equations that describe the transient flow phenomenon in pipelines is shown. The results obtained by both MOC 2nd-order and exact solution (MOC 1st-order) are compared. It is shown that MOC 2nd-order allows obtain near-to-exact results within a wide range of Courant numbers.