TY - GEN
T1 - High accuracy methods for solving non-linear compressible gas dynamics flow problem
AU - Wibisono, Indra
AU - Yanuar,
AU - Kosasih, E. A.
AU - Alief, Muhammad
N1 - Funding Information:
Indra Wibisono expresses great appreciations to Hibah PITTA 2018 funded by DRPM Universitas Indonesia No.2561/UN2/R3.1/HKP.05.00/2018 for supporting this research and Ministry of Research, Technology and Higher Education (Indonesia) for the financial support of academic study at Universitas Indonesia.
Publisher Copyright:
© 2019 Author(s).
PY - 2019/1/25
Y1 - 2019/1/25
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85061150810&partnerID=8YFLogxK
U2 - 10.1063/1.5086551
DO - 10.1063/1.5086551
M3 - Conference contribution
AN - SCOPUS:85061150810
T3 - AIP Conference Proceedings
BT - 10th International Meeting of Advances in Thermofluids, IMAT 2018 - Smart City
A2 - Yatim, Ardiyansyah
A2 - Nasruddin, null
A2 - Budiyanto, Muhammad Arif
A2 - Aisyah, Nyayu
A2 - Alhamid, Muhamad Idrus
PB - American Institute of Physics Inc.
T2 - 10th International Meeting of Advances in Thermofluids - Smart City: Advances in Thermofluid Technology in Tropical Urban Development, IMAT 2018
Y2 - 16 November 2018 through 17 November 2018
ER -