High accuracy methods for solving non-linear compressible gas dynamics flow problem

Indra Wibisono, Yanuar, Engkos Achmad Kosasih, Muhammad Alief

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

Abstract

Euler equations are hyperbolic conservation law in compressible gas dynamics flow problem. In the non-linear problem, discontinuities or jump conditions may appear in the solutions. The numerical solutions typically produce oscillation near jump conditions because of truncation error. Weighted essentially non-oscillatory (WENO) scheme are adaptive high order method that suitable for the discontinuous function to minimize truncation error and diminish the oscillations. In this research, we use high order scheme to reduce numerical dissipation in hyperbolic conservation laws using WENO scheme that adopted as slope limiter in the finite volume coupled with Harten, Lax, van Leer-Contact (HLLC) flux to solve Euler equations. By some simple numerical tests in non-linear compressible flow problem, we found that the numerical results are non-oscillatory and very accurate. Numerical results show that the WENO scheme successfully implemented in finite volume methods to simulate non-linear compressible gas dynamics flow problem with satisfactory accuracy.

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
Country/TerritoryIndonesia
CityKuta, Bali
Period16/11/1817/11/18

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