Even if numerical simulation of the Burgers' equation is well documented in the literature, a
detailed literature survey indicates that gaps still exist for comparative discussion regarding …

This paper presents an extensive review of most of the existing TVD schemes found in
literature that are based on the One-step Time–space-coupled Unsteady TVD criterion (OTU …

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No part of this publication may be reproduced or distributed in any form or by any means …

Real life phenomena in engineering, natural, or medical sciences are often described by a
mathematical model with the goal to analyze numerically the behaviour of the system …

Computational fluid dynamics, commonly known by the acronym 'CFD', continues to have
significant expansion. There are many software packages available that solve fluid flow …

Bubbly flows comprise a large number of different flow situations, eg, dispersed pipe flows,
flows in multiphase agitated tanks, flows in multiphase fixed-and fluidized-bed reactors, and …

We explore the pricing of Asian options by numerically solving the the associated partial di
erential equations. We demonstrate that numerical PDE techniques commonly used in …

A mathematical model is developed to describe ice accretion and water flow on a cold
substrate of arbitrary shape. It is shown how the model may be applied to practical substrate …

This paper presents three approximate Riemann solver schemes, namely: the flux vector
splitting (FVS), the flux difference splitting (FDS), and the Osher scheme. Originally used to …

In recent years it has been documented that deep-water coral reefs of the species Lophelia
pertusa are a major benthic habitat in Norwegian waters. However, basic information about …