TY - JOUR
T1 - High order semi-discrete multidimensional central-upwind scheme with applications
AU - Cai, Li
AU - Feng, Jianhu
AU - Xie, Wenxian
AU - Zhou, Jun
PY - 2006/3
Y1 - 2006/3
N2 - A fourth-order, semi-discrete central-upwind scheme for multidimensional convection-diffusion equation is presented, where the local speed of wave propagation in the Riemann fans is considered based on a central weighted essentially nonoscillatory (CWENO) reconstruction, and much lower numerical viscosity is encountered and the staggering between two grids is avoided, which is regarded as a semi-discrete central-upwind scheme situated between upwind scheme and central scheme. Combining the semi-discrete central-upwind scheme with the Vorticity-Stream method, 2D incompressible Euler and Navier-Stokes equations are solved effectively.
AB - A fourth-order, semi-discrete central-upwind scheme for multidimensional convection-diffusion equation is presented, where the local speed of wave propagation in the Riemann fans is considered based on a central weighted essentially nonoscillatory (CWENO) reconstruction, and much lower numerical viscosity is encountered and the staggering between two grids is avoided, which is regarded as a semi-discrete central-upwind scheme situated between upwind scheme and central scheme. Combining the semi-discrete central-upwind scheme with the Vorticity-Stream method, 2D incompressible Euler and Navier-Stokes equations are solved effectively.
KW - Central weighted essentially nonoscillatory scheme
KW - Convection-diffusion equation
KW - Incompressible Euler equations
KW - Incompressible Navier-Stokes equations
KW - Semi-discrete central-upwind scheme
UR - http://www.scopus.com/inward/record.url?scp=33646528433&partnerID=8YFLogxK
M3 - 文章
AN - SCOPUS:33646528433
SN - 1000-4939
VL - 23
SP - 90
EP - 95
JO - Yingyong Lixue Xuebao/Chinese Journal of Applied Mechanics
JF - Yingyong Lixue Xuebao/Chinese Journal of Applied Mechanics
IS - 1
ER -