An explicit unconditionally stable numerical solution of the advection problem in irrotational flow fields -: art. no. W06501

被引:10
作者
Bascià, A
Tucciarelli, T
机构
[1] Mediterranean Univ Reggio Calabria, Dept Mat & Mech, I-89100 Reggio Di Calabria, Italy
[2] Univ Palermo, Dept Hydraul Engn & Environm Applicat, I-90128 Palermo, Italy
关键词
advection; numerical techniques; transport;
D O I
10.1029/2003WR002646
中图分类号
X [环境科学、安全科学];
学科分类号
08 ; 0830 ;
摘要
A new methodology for the Eulerian numerical solution of the advection problem is proposed. The methodology is based on the conservation of both the zero- and the first-order spatial moments inside each element of the computational domain and leads to the solution of several small systems of ordinary differential equations. Since the systems are solved sequentially (one element after the other), the method can be classified as explicit. The proposed methodology has the following properties: (1) it guarantees local and global mass conservation, (2) it is unconditionally stable, and (3) it applies second-order approximation of the concentration and its fluxes inside each element. Limitation of the procedure to irrotational flow fields, for the 2-D and 3-D cases, is discussed. The results of three 1-D and 2-D literature tests are compared with those obtained using other techniques. A new 2-D test, with radially symmetric flow, is also carried out.
引用
收藏
页码:W065011 / W0650118
页数:18
相关论文
共 42 条
[21]   An efficient characteristic Galerkin scheme for the advection equation in 3-D [J].
Kaazempur-Mofrad, MR ;
Ethier, CR .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2002, 191 (46) :5345-5363
[22]   Refined numerical scheme for advective transport in diffusion simulation [J].
Komatsu, T ;
Ohgushi, K ;
Asai, K .
JOURNAL OF HYDRAULIC ENGINEERING-ASCE, 1997, 123 (01) :41-50
[23]   THE ULTIMATE CONSERVATIVE DIFFERENCE SCHEME APPLIED TO UNSTEADY ONE-DIMENSIONAL ADVECTION [J].
LEONARD, BP .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1991, 88 (01) :17-74
[24]   STABLE AND ACCURATE CONVECTIVE MODELING PROCEDURE BASED ON QUADRATIC UPSTREAM INTERPOLATION [J].
LEONARD, BP .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1979, 19 (01) :59-98
[25]   ADVECTION SIMULATION BY MINIMAX-CHARACTERISTICS METHOD [J].
LI, CW .
JOURNAL OF HYDRAULIC ENGINEERING-ASCE, 1990, 116 (09) :1138-1144
[26]   Computation of dye concentration in shallow recirculating flow [J].
Nassiri, M ;
Babarutsi, S .
JOURNAL OF HYDRAULIC ENGINEERING-ASCE, 1997, 123 (09) :793-805
[27]   DORA algorithm for network flow models with improved stability and convergence properties [J].
Noto, L ;
Tucciarelli, T .
JOURNAL OF HYDRAULIC ENGINEERING-ASCE, 2001, 127 (05) :380-391
[28]   On the role of tracking on Eulerian-Lagrangian solutions of the transport equation [J].
Oliveira, A ;
Baptista, AM .
ADVANCES IN WATER RESOURCES, 1998, 21 (07) :539-554
[29]   An efficient algorithm for high accuracy particle tracking in finite elements [J].
Pokrajac, D ;
Lazic, R .
ADVANCES IN WATER RESOURCES, 2002, 25 (04) :353-369
[30]  
PONCE VM, 1979, J HYDR ENG DIV-ASCE, V105, P1079