Journal of the Indonesian Mathematical Society
VOLUME 28 NUMBER 2 (JULY 2022)

Numerical Simulation of Flood Routing, Model of Dynamic Equations

Leo Hari Wiryanto (Department of Mathematics, Institut Teknologi Bandung)
Ratna Widyawati (Department of Civil Engineering, University of Lampung)



Article Info

Publish Date
30 Jul 2022

Abstract

Dynamic equations of flow in a rectangular inclined channel are solved numerically for the case where the friction force of the channel wall is neglected by the gravity force. The flow discharge and the cross-section area along the channel are physical quantity that is calculated. In non-dimensional variables, the equations indicate solution in traveling wave occurring for critical flow. Near that type of flow, the perturbation method is applied to get second order equations that are first order partial differential equation with external force from the lower order equations. Numerical solution is obtained by predictor-corrector method, and the effect of these second order equations can be observed to the traveling wave, depending on the type of the flow, su-percritical or subcritical.

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Journal Info

Abbrev

JIMS

Publisher

Subject

Mathematics

Description

Journal of the Indonesian Mathematical Society disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and their ...