TY - JOUR
T1 - A study of parameter-free shock capturing upwind schemes on low speeds' issues
AU - Qu, Feng
AU - Yan, Chao
AU - Yu, Jian
AU - Sun, Di
PY - 2014/6
Y1 - 2014/6
N2 - Nowadays, the upwind schemes are in a rapid development to capture shock accurately. However, these upwind schemes' properties at low speeds, such as their reconstruction scheme dependencies, grid dependencies, and Mach number dependencies, are concerned by few people. In this paper, a systematic study on their low speeds' issues is conducted. Through a series of tests, we can find that most parameter-free upwind schemes, widely used in practice today, are not applicable to low speeds' simulations. In contrast, SLAU and SLAU2 can give reliable results. Also, the upwind scheme's influence on the accuracy is stronger than the reconstruction scheme's influence at low speeds.
AB - Nowadays, the upwind schemes are in a rapid development to capture shock accurately. However, these upwind schemes' properties at low speeds, such as their reconstruction scheme dependencies, grid dependencies, and Mach number dependencies, are concerned by few people. In this paper, a systematic study on their low speeds' issues is conducted. Through a series of tests, we can find that most parameter-free upwind schemes, widely used in practice today, are not applicable to low speeds' simulations. In contrast, SLAU and SLAU2 can give reliable results. Also, the upwind scheme's influence on the accuracy is stronger than the reconstruction scheme's influence at low speeds.
KW - grid dependency
KW - low speeds
KW - mach number dependency
KW - parameter-free
KW - reconstruction scheme dependency
KW - slau
KW - upwind schemes
UR - http://www.scopus.com/inward/record.url?scp=84903636832&partnerID=8YFLogxK
U2 - 10.1007/s11431-014-5547-8
DO - 10.1007/s11431-014-5547-8
M3 - 文章
AN - SCOPUS:84903636832
SN - 1674-7321
VL - 57
SP - 1183
EP - 1190
JO - Science China Technological Sciences
JF - Science China Technological Sciences
IS - 6
ER -