TY - GEN
T1 - Numerical scheme improvement of three dimensional mass transport equation
AU - Wang, Peng
AU - Cai, Yunjie
AU - Shen, Xia
PY - 2012
Y1 - 2012
N2 - Smolarkiewicz upwind scheme is improved based on commonl upwind scheme, in which anti-diffusive velocities are added. Central scheme, upwind scheme, and Smolarkiewicz upwind scheme are used to discretize 1-D and 3-D convection equation. Relative mean square deviations between simulated values and exact ones are analyzed. Errors of central scheme, upwind scheme, and Smolarkiewicz upwind scheme are 2.11∼7.25%, 3.62∼9.65%, and 2.15∼6.21%, which are produced by time and spatial discretization. Central scheme is more precise than upwind scheme because of its second-order truncation error. Smolarkiewicz upwind scheme is more precise than common one because of anti-diffusive velocities added. Plane distribution figure of mass concentration in the flume shows that numerical oscillations and negative values appear in central scheme condition, and upwind scheme has the lowest precision due to heavy dissipation. Smolarkiewicz upwind scheme overcomes the weaknesses of above two schemes, and it is the recommended scheme to be applied in water quality model based on POM.
AB - Smolarkiewicz upwind scheme is improved based on commonl upwind scheme, in which anti-diffusive velocities are added. Central scheme, upwind scheme, and Smolarkiewicz upwind scheme are used to discretize 1-D and 3-D convection equation. Relative mean square deviations between simulated values and exact ones are analyzed. Errors of central scheme, upwind scheme, and Smolarkiewicz upwind scheme are 2.11∼7.25%, 3.62∼9.65%, and 2.15∼6.21%, which are produced by time and spatial discretization. Central scheme is more precise than upwind scheme because of its second-order truncation error. Smolarkiewicz upwind scheme is more precise than common one because of anti-diffusive velocities added. Plane distribution figure of mass concentration in the flume shows that numerical oscillations and negative values appear in central scheme condition, and upwind scheme has the lowest precision due to heavy dissipation. Smolarkiewicz upwind scheme overcomes the weaknesses of above two schemes, and it is the recommended scheme to be applied in water quality model based on POM.
KW - Flume numerical experiments
KW - Smolarkiewicz upwind schem
KW - Water quality model
UR - http://www.scopus.com/inward/record.url?scp=84860512343&partnerID=8YFLogxK
U2 - 10.1109/CDCIEM.2012.112
DO - 10.1109/CDCIEM.2012.112
M3 - Conference contribution
AN - SCOPUS:84860512343
SN - 9780769546391
T3 - Proceedings - 2012 International Conference on Computer Distributed Control and Intelligent Environmental Monitoring, CDCIEM 2012
SP - 447
EP - 450
BT - Proceedings - 2012 International Conference on Computer Distributed Control and Intelligent Environmental Monitoring, CDCIEM 2012
T2 - 2012 International Conference on Computer Distributed Control and Intelligent Environmental Monitoring, CDCIEM 2012
Y2 - 5 March 2012 through 6 March 2012
ER -