Forcing for a Cascaded Lattice Boltzmann Shallow Water Model

被引:6
作者
Venturi, Sara [1 ]
Di Francesco, Silvia [2 ]
Geier, Martin [3 ]
Manciola, Piergiorgio [1 ]
机构
[1] Univ Perugia, Civil & Environm Dept, I-06125 Perugia Pg, Italy
[2] Niccola Cusano Univ, Engn Fac, I-00166 Rome, Italy
[3] TU Braunschweig, Inst Computat Modeling Civil Engn iRMB, D-38106 Braunschweig, Germany
关键词
shallow water equations; central moments; external force; SOURCE TERMS; EQUATIONS; SCHEMES; SIMULATION; FLOW;
D O I
10.3390/w12020439
中图分类号
X [环境科学、安全科学];
学科分类号
08 ; 0830 ;
摘要
This work compares three forcing schemes for a recently introduced cascaded lattice Boltzmann shallow water model: a basic scheme, a second -order scheme, and a centred scheme. Although the force is applied in the streaming step of the lattice Boltzmann model, the acceleration is also considered in the transformation to central moments. The model performance is tested for one and two dimensional benchmarks.
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页数:16
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共 38 条
[11]   Lattice Boltzmann Modeling of Diesel Spray Formation and Break-Up [J].
Falcucci, Giacomo ;
Ubertini, Stefano ;
Bella, Gino ;
De Maio, Alessandro ;
Palpacelli, Silvia .
SAE INTERNATIONAL JOURNAL OF FUELS AND LUBRICANTS, 2010, 3 (01) :582-593
[12]  
Geier M, 2006, THESIS
[13]   Fourth order Galilean invariance for the lattice Boltzmann method [J].
Geier, Martin ;
Pasquali, Andrea .
COMPUTERS & FLUIDS, 2018, 166 :139-151
[14]   The cumulant lattice Boltzmann equation in three dimensions: Theory and validation [J].
Geier, Martin ;
Schoenherr, Martin ;
Pasquali, Andrea ;
Krafczyk, Manfred .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2015, 70 (04) :507-547
[15]   Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm [J].
LeVeque, RJ .
JOURNAL OF COMPUTATIONAL PHYSICS, 1998, 146 (01) :346-365
[16]  
Liu HE, 2009, THESIS
[17]  
Luo L.-S., 1993, THESIS, V274
[18]   Numerical simulation of transcritical flow in open channels [J].
Meselhe, EA ;
Sotiropoulos, F ;
Holly, FM .
JOURNAL OF HYDRAULIC ENGINEERING-ASCE, 1997, 123 (09) :774-783
[19]   Incorporating forcing terms in cascaded lattice Boltzmann approach by method of central moments [J].
Premnath, Kannan N. ;
Banerjee, Sanjoy .
PHYSICAL REVIEW E, 2009, 80 (03)
[20]   Curved boundaries in multi-layer Shallow Water Lattice Boltzmann Methods: bounce back versus immersed boundary [J].
Prestininzi, P. ;
Lombardi, V. ;
La Rocca, M. .
JOURNAL OF COMPUTATIONAL SCIENCE, 2016, 16 :16-28