TY  - JOUR
AU  - Horvat, Zoltan
AU  - Horvat, Mirjana
AU  - Rosić, Nikola
AU  - Zindović, Budo
AU  - Kapor, Radomir
PY  - 2017
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/859
AB  - Results obtained by analysis of three different approaches to numerical modelling of open watercourses are presented in the paper. Two examples of flow, uniform flow on the physical model of a curve at the Tisza River and nonuniform flow at the Danube River, are analysed. Standard error analysis has revealed that results of the similar order of magnitude are obtained in implementation of two numerical methods in which computational grids are used, while the method in which computational grid is not used, i.e. the smoothed particle hydrodynamics method, requires further improvements to enable successful modelling of the gradually variable flow.
PB  - Union of Croatian Civil Engineers and Technicians
T2  - Građevinar
T1  - Different approaches to two-dimensional numerical modelling of natural watercourses
EP  - 1135
IS  - 12
SP  - 1125
VL  - 69
DO  - 10.14256/JCE.1556.2016
ER  - 

@article{
author = "Horvat, Zoltan and Horvat, Mirjana and Rosić, Nikola and Zindović, Budo and Kapor, Radomir",
year = "2017",
abstract = "Results obtained by analysis of three different approaches to numerical modelling of open watercourses are presented in the paper. Two examples of flow, uniform flow on the physical model of a curve at the Tisza River and nonuniform flow at the Danube River, are analysed. Standard error analysis has revealed that results of the similar order of magnitude are obtained in implementation of two numerical methods in which computational grids are used, while the method in which computational grid is not used, i.e. the smoothed particle hydrodynamics method, requires further improvements to enable successful modelling of the gradually variable flow.",
publisher = "Union of Croatian Civil Engineers and Technicians",
journal = "Građevinar",
title = "Different approaches to two-dimensional numerical modelling of natural watercourses",
pages = "1135-1125",
number = "12",
volume = "69",
doi = "10.14256/JCE.1556.2016"
}

Horvat, Z., Horvat, M., Rosić, N., Zindović, B.,& Kapor, R.. (2017). Different approaches to two-dimensional numerical modelling of natural watercourses. in Građevinar
Union of Croatian Civil Engineers and Technicians., 69(12), 1125-1135.
https://doi.org/10.14256/JCE.1556.2016

Horvat Z, Horvat M, Rosić N, Zindović B, Kapor R. Different approaches to two-dimensional numerical modelling of natural watercourses. in Građevinar. 2017;69(12):1125-1135.
doi:10.14256/JCE.1556.2016 .

Horvat, Zoltan, Horvat, Mirjana, Rosić, Nikola, Zindović, Budo, Kapor, Radomir, "Different approaches to two-dimensional numerical modelling of natural watercourses" in Građevinar, 69, no. 12 (2017):1125-1135,
https://doi.org/10.14256/JCE.1556.2016 . .

TY  - CONF
AU  - Horvat, Mirjana
AU  - Horvat, Zoltan
AU  - Rosić, Nikola
AU  - Zindović, Budo
PY  - 2016
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1471
AB  - The lattice-Boltzmann method (LBM) is a new method in computational fluid mechanics. While traditional numerical methods directly discretize and solve the macroscopic equations of fluid mechanics, the LBM solves а discrete kinetic equation that reproduces the equations of fluid mechanics in the macroscopic sense. This paper presents in some detail the concept of the distribution function which is essential for the LBM, the Boltzmann equation and the Chapman-Enskog expansion used to reproduce the macroscopic equations of fluid mechanics from the Boltzmann equation. The paper also presents the procedure used for discretizing the Bolzmann equation in velocity and physical space in order to obtain the lattice-Boltzmann equation.
PB  - Faculty Of Civil Engineering, Subotica
C3  - Zbornik radova 4. međunarodne konferencije Savremena dostignuća u građevinarstvu 2016
T1  - The Lattice-Boltzmann Method in Computational Fluid Mechanics
T1  - Lattice-Boltzmann metoda u numeričkoj mehanici fluida
EP  - 720
SP  - 709
VL  - 32
DO  - 10.14415/konferencijaGFS2016.072
ER  - 

@conference{
author = "Horvat, Mirjana and Horvat, Zoltan and Rosić, Nikola and Zindović, Budo",
year = "2016",
abstract = "The lattice-Boltzmann method (LBM) is a new method in computational fluid mechanics. While traditional numerical methods directly discretize and solve the macroscopic equations of fluid mechanics, the LBM solves а discrete kinetic equation that reproduces the equations of fluid mechanics in the macroscopic sense. This paper presents in some detail the concept of the distribution function which is essential for the LBM, the Boltzmann equation and the Chapman-Enskog expansion used to reproduce the macroscopic equations of fluid mechanics from the Boltzmann equation. The paper also presents the procedure used for discretizing the Bolzmann equation in velocity and physical space in order to obtain the lattice-Boltzmann equation.",
publisher = "Faculty Of Civil Engineering, Subotica",
journal = "Zbornik radova 4. međunarodne konferencije Savremena dostignuća u građevinarstvu 2016",
title = "The Lattice-Boltzmann Method in Computational Fluid Mechanics, Lattice-Boltzmann metoda u numeričkoj mehanici fluida",
pages = "720-709",
volume = "32",
doi = "10.14415/konferencijaGFS2016.072"
}

Horvat, M., Horvat, Z., Rosić, N.,& Zindović, B.. (2016). The Lattice-Boltzmann Method in Computational Fluid Mechanics. in Zbornik radova 4. međunarodne konferencije Savremena dostignuća u građevinarstvu 2016
Faculty Of Civil Engineering, Subotica., 32, 709-720.
https://doi.org/10.14415/konferencijaGFS2016.072

Horvat M, Horvat Z, Rosić N, Zindović B. The Lattice-Boltzmann Method in Computational Fluid Mechanics. in Zbornik radova 4. međunarodne konferencije Savremena dostignuća u građevinarstvu 2016. 2016;32:709-720.
doi:10.14415/konferencijaGFS2016.072 .

Horvat, Mirjana, Horvat, Zoltan, Rosić, Nikola, Zindović, Budo, "The Lattice-Boltzmann Method in Computational Fluid Mechanics" in Zbornik radova 4. međunarodne konferencije Savremena dostignuća u građevinarstvu 2016, 32 (2016):709-720,
https://doi.org/10.14415/konferencijaGFS2016.072 . .

TY  - CONF
AU  - Horvat, Zoltan
AU  - Horvat, Mirjana
AU  - Zindović, Budo
AU  - Rosić, Nikola
PY  - 2016
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1465
AB  - Although the lattice-Boltzmann method (LMB) originates from the kinetic theory of gases, it can be adopted for many practical engineering uses. This paper explores the potential of the LBM in computational hydraulics. The discrete latticeBoltzmann equation is implemented using the appropriate equilibrium distribution function to simulate flow in a simple open channel. Numerical tests are conducted in order to assess the ability of the numerical model based on the LBM to reproduce steady state situations, slip and no-slip boundary conditions on impermeable walls, upstream and downstream boundary conditions commonly used in hydraulic engineering. The paper also presents the results of unsteady flow simulations, as well as flow simulations over a non-uniform channel bed.
PB  - Faculty Of Civil Engineering, Subotica
C3  - Zbornik radova 4. Međunarodne konferencije Savremena dostignuća u građevinarstvu 2016
T1  - The Potential of Lattice-Boltzmann Method in Computational Hydraulics
T1  - Potencijal Lattice-Boltzmann metode u numeričkoj hidraulici
EP  - 731
SP  - 721
VL  - 32
DO  - 10.14415/konferencijaGFS2016.073
ER  - 

@conference{
author = "Horvat, Zoltan and Horvat, Mirjana and Zindović, Budo and Rosić, Nikola",
year = "2016",
abstract = "Although the lattice-Boltzmann method (LMB) originates from the kinetic theory of gases, it can be adopted for many practical engineering uses. This paper explores the potential of the LBM in computational hydraulics. The discrete latticeBoltzmann equation is implemented using the appropriate equilibrium distribution function to simulate flow in a simple open channel. Numerical tests are conducted in order to assess the ability of the numerical model based on the LBM to reproduce steady state situations, slip and no-slip boundary conditions on impermeable walls, upstream and downstream boundary conditions commonly used in hydraulic engineering. The paper also presents the results of unsteady flow simulations, as well as flow simulations over a non-uniform channel bed.",
publisher = "Faculty Of Civil Engineering, Subotica",
journal = "Zbornik radova 4. Međunarodne konferencije Savremena dostignuća u građevinarstvu 2016",
title = "The Potential of Lattice-Boltzmann Method in Computational Hydraulics, Potencijal Lattice-Boltzmann metode u numeričkoj hidraulici",
pages = "731-721",
volume = "32",
doi = "10.14415/konferencijaGFS2016.073"
}

Horvat, Z., Horvat, M., Zindović, B.,& Rosić, N.. (2016). The Potential of Lattice-Boltzmann Method in Computational Hydraulics. in Zbornik radova 4. Međunarodne konferencije Savremena dostignuća u građevinarstvu 2016
Faculty Of Civil Engineering, Subotica., 32, 721-731.
https://doi.org/10.14415/konferencijaGFS2016.073

Horvat Z, Horvat M, Zindović B, Rosić N. The Potential of Lattice-Boltzmann Method in Computational Hydraulics. in Zbornik radova 4. Međunarodne konferencije Savremena dostignuća u građevinarstvu 2016. 2016;32:721-731.
doi:10.14415/konferencijaGFS2016.073 .

Horvat, Zoltan, Horvat, Mirjana, Zindović, Budo, Rosić, Nikola, "The Potential of Lattice-Boltzmann Method in Computational Hydraulics" in Zbornik radova 4. Međunarodne konferencije Savremena dostignuća u građevinarstvu 2016, 32 (2016):721-731,
https://doi.org/10.14415/konferencijaGFS2016.073 . .

TY  - CONF
AU  - Rosić, Nikola
AU  - Horvat, Mirjana
AU  - Horvat, Zoltan
AU  - Zindović, Budo
PY  - 2015
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1314
PB  - Belgrade
C3  - Proceedings of the IWA 7th Eastern European Young Water Professionals Conference, Belgrade, Serbia, 17-19 September
T1  - Evaluation of the SPH method in two dimensional open channel flow modeling
UR  - https://hdl.handle.net/21.15107/rcub_grafar_1314
ER  - 

@conference{
author = "Rosić, Nikola and Horvat, Mirjana and Horvat, Zoltan and Zindović, Budo",
year = "2015",
publisher = "Belgrade",
journal = "Proceedings of the IWA 7th Eastern European Young Water Professionals Conference, Belgrade, Serbia, 17-19 September",
title = "Evaluation of the SPH method in two dimensional open channel flow modeling",
url = "https://hdl.handle.net/21.15107/rcub_grafar_1314"
}

Rosić, N., Horvat, M., Horvat, Z.,& Zindović, B.. (2015). Evaluation of the SPH method in two dimensional open channel flow modeling. in Proceedings of the IWA 7th Eastern European Young Water Professionals Conference, Belgrade, Serbia, 17-19 September
Belgrade..
https://hdl.handle.net/21.15107/rcub_grafar_1314

Rosić N, Horvat M, Horvat Z, Zindović B. Evaluation of the SPH method in two dimensional open channel flow modeling. in Proceedings of the IWA 7th Eastern European Young Water Professionals Conference, Belgrade, Serbia, 17-19 September. 2015;.
https://hdl.handle.net/21.15107/rcub_grafar_1314 .

Rosić, Nikola, Horvat, Mirjana, Horvat, Zoltan, Zindović, Budo, "Evaluation of the SPH method in two dimensional open channel flow modeling" in Proceedings of the IWA 7th Eastern European Young Water Professionals Conference, Belgrade, Serbia, 17-19 September (2015),
https://hdl.handle.net/21.15107/rcub_grafar_1314 .