Open AccessComparison and Analysis of Different Numerical Schemes in Sod’s One-dimensional Shock Tube Problems
Author(s) -
Ning Ji
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1550/3/032049
Subject(s) - classification of discontinuities , rarefaction (ecology) , shock tube , shock (circulatory) , shock wave , numerical analysis , oscillation (cell signaling) , discontinuity (linguistics) , mechanics , mathematics , grid , computer science , mathematical analysis , physics , geometry , geology , medicine , paleontology , biology , species richness , genetics
In this paper, we apply a variety of numerical methods to calculate and analyze the Sod’s one-dimensional shock tube problem. Different schemes show different resolution capabilities for rarefaction waves, shock waves, and contact discontinuities. Under different grid density, we further analyze the performance of various schemes, and carry out error analysis to calculate the numerical accuracy. In conclusion, the accuracy of different numerical schemes decreases at discontinuities, and NND scheme and WENO scheme can effectively eliminate the non-physical oscillation.