TY - JOUR
T1 - A new general convective boundedness criterion
AU - Wei, Jin Jia
AU - Yu, Bo
AU - Tao, Wen Quan
AU - Kawaguchi, Yasuo
N1 - Funding Information:
Received 7 October 2004; accepted 12 May 2005. This work was supported by the National Natural Science Foundation of China (No. 50476046, 50236010). Address correspondence to Wen-Quan Tao, School of Energy and Power Engineering, Xi’an Jiaotong University, Xi’an, Shaanxi 710049, People’s Republic of China. E-mail: [email protected]
PY - 2006/6
Y1 - 2006/6
N2 - A new general convective boundedness criterion (GCBC) is proposed for the construction of composite high-resolution schemes with boundedness. It is shown that the conventional convective boundedness criterion (CBC) proposed by Gaskell and Lau and the extended convective boundedness criterion (ECBC) proposed by Yu et al. are two extreme cases of the newly proposed GCBC. A new scheme based on the GCBC is proposed and tested by two problems: (1) pure convection of a stepwise profile in an oblique uniform velocity field; and (2) pure convection of a double-step profile in an oblique uniform velocity field. The numerical tests show that the new scheme (SBGCBC) is capable of capturing steep scalar gradients while maintaining boundedness of solutions.
AB - A new general convective boundedness criterion (GCBC) is proposed for the construction of composite high-resolution schemes with boundedness. It is shown that the conventional convective boundedness criterion (CBC) proposed by Gaskell and Lau and the extended convective boundedness criterion (ECBC) proposed by Yu et al. are two extreme cases of the newly proposed GCBC. A new scheme based on the GCBC is proposed and tested by two problems: (1) pure convection of a stepwise profile in an oblique uniform velocity field; and (2) pure convection of a double-step profile in an oblique uniform velocity field. The numerical tests show that the new scheme (SBGCBC) is capable of capturing steep scalar gradients while maintaining boundedness of solutions.
UR - http://www.scopus.com/inward/record.url?scp=33646817074&partnerID=8YFLogxK
U2 - 10.1080/10407790500274307
DO - 10.1080/10407790500274307
M3 - Review article
AN - SCOPUS:33646817074
SN - 1040-7790
VL - 49
SP - 585
EP - 598
JO - Numerical Heat Transfer, Part B: Fundamentals
JF - Numerical Heat Transfer, Part B: Fundamentals
IS - 6
ER -