The significance of temporal discretization in the high order numerical scheme for hyperbolic conservation law

Indra Wibisono, Yanuar, Engkos Achmad Kosasih

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Spatial and temporal discretization has a big impact to the overall accuracy of the numerical scheme. The spatial discretization affects the calculation of physical flux or other space-derived variables, which often require high order scheme in the non-linear problem to achieve the desired accuracy. While temporal discretization also has a significant impact on the stability of the numerical scheme and total computational cost. Strong stability preserving Runge Kutta scheme often used as temporal discretization scheme for high order numerical scheme. In this work, we are motivated to study the significance of temporal discretization order (up to fourth order) to the overall numerical scheme accuracy and total computational cost while high order weighted essentially non-oscillatory scheme used as spatial discretization technique in hyperbolic conservation law. We found that the third order SSP Runge Kutta scheme is an effective scheme with respect to accuracy and computational cost.

Original languageEnglish
Title of host publication10th International Meeting of Advances in Thermofluids, IMAT 2018 - Smart City
Subtitle of host publicationAdvances in Thermofluid Technology in Tropical Urban Development
EditorsArdiyansyah Yatim, Nasruddin, Muhammad Arif Budiyanto, Nyayu Aisyah, Muhamad Idrus Alhamid
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735417908
DOIs
Publication statusPublished - 25 Jan 2019
Event10th International Meeting of Advances in Thermofluids - Smart City: Advances in Thermofluid Technology in Tropical Urban Development, IMAT 2018 - Kuta, Bali, Indonesia
Duration: 16 Nov 201817 Nov 2018

Publication series

NameAIP Conference Proceedings
Volume2062
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference10th International Meeting of Advances in Thermofluids - Smart City: Advances in Thermofluid Technology in Tropical Urban Development, IMAT 2018
CountryIndonesia
CityKuta, Bali
Period16/11/1817/11/18

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