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

来源：

WATER | 2020年 / 12卷 / 02期

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.

引用

页数：16

共 38 条

[11] Characterization of a Flood Event through a Sediment Analysis: The Tescio River Case Study
Di Francesco, Silvia
Biscarini, Chiara
Manciola, Piergiorgio
[J]. WATER, 2016, 8 (07):
[12] Lattice Boltzmann Modeling of Diesel Spray Formation and Break-Up
Falcucci, Giacomo
Ubertini, Stefano
Bella, Gino
De Maio, Alessandro
Palpacelli, Silvia
[J]. SAE INTERNATIONAL JOURNAL OF FUELS AND LUBRICANTS, 2010, 3 (01) : 582 - 593
[13] Geier M, 2006, THESIS
[14] Fourth order Galilean invariance for the lattice Boltzmann method
Geier, Martin
Pasquali, Andrea
[J]. COMPUTERS & FLUIDS, 2018, 166 : 139 - 151
[15] The cumulant lattice Boltzmann equation in three dimensions: Theory and validation
Geier, Martin
Schoenherr, Martin
Pasquali, Andrea
Krafczyk, Manfred
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2015, 70 (04) : 507 - 547
[16] Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
LeVeque, RJ
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 1998, 146 (01) : 346 - 365
[17] Liu HE, 2009, THESIS
[18] Numerical simulation of transcritical flow in open channels
Meselhe, EA
Sotiropoulos, F
Holly, FM
[J]. JOURNAL OF HYDRAULIC ENGINEERING-ASCE, 1997, 123 (09): : 774 - 783
[19] Incorporating forcing terms in cascaded lattice Boltzmann approach by method of central moments
Premnath, Kannan N.
Banerjee, Sanjoy
[J]. PHYSICAL REVIEW E, 2009, 80 (03):
[20] Curved boundaries in multi-layer Shallow Water Lattice Boltzmann Methods: bounce back versus immersed boundary
Prestininzi, P.
Lombardi, V.
La Rocca, M.
[J]. JOURNAL OF COMPUTATIONAL SCIENCE, 2016, 16 : 16 - 28

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