Flow Image Velocimetry Method Based on Advection-Diffusion Equation

BIZJAN, Benjamin ;ORBANIĆ, Alen ;ŠIROK, Brane ;BAJCAR, Tom ;NOVAK, Lovrenc ;KOVAČ, Boštjan .
Flow Image Velocimetry Method Based on Advection-Diffusion Equation. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 60, n.7-8, p. 483-494, june 2018. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/sl/article/flow-image-velocimetry-method-based-on-advection-diffusion-equation/>. Date accessed: 23 jan. 2026. 
doi:http://dx.doi.org/10.5545/sv-jme.2013.1614.

Bizjan, B., Orbanić, A., Širok, B., Bajcar, T., Novak, L., & Kovač, B.
(2014).
Flow Image Velocimetry Method Based on Advection-Diffusion Equation.
Strojniški vestnik - Journal of Mechanical Engineering, 60(7-8), 483-494.
doi:http://dx.doi.org/10.5545/sv-jme.2013.1614

@article{sv-jmesv-jme.2013.1614,
	author = {Benjamin  Bizjan and Alen  Orbanić and Brane  Širok and Tom  Bajcar and Lovrenc  Novak and Boštjan  Kovač},
	title = {Flow Image Velocimetry Method Based on Advection-Diffusion Equation},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {60},
	number = {7-8},
	year = {2014},
	keywords = {computer-aided visualization; image velocimetry; dense flow field calculation; optical flow; advection-diffusion equation; computational fluid dynamics},
	abstract = {This paper presents a non-contact method for velocity field calculation from a series of fluid flow images with illuminated planar layer of the flow and a mixed-in pollutant for flow visualization. Velocity field is calculated using a model similar to the optical flow that is based on the advection-diffusion equation. The model is evaluated using a set of synthetic airfoil flow visualization images generated by a combination of computational fluid dynamics and inverse advection-diffusion equation approach. Calculated velocity fields are in a good agreement with the true velocity fields.},
	issn = {0039-2480},	pages = {483-494},	doi = {10.5545/sv-jme.2013.1614},
	url = {https://www.sv-jme.eu/sl/article/flow-image-velocimetry-method-based-on-advection-diffusion-equation/}
}

Bizjan, B.,Orbanić, A.,Širok, B.,Bajcar, T.,Novak, L.,Kovač, B.
2014 June 60. Flow Image Velocimetry Method Based on Advection-Diffusion Equation. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 60:7-8

%A Bizjan, Benjamin 
%A Orbanić, Alen 
%A Širok, Brane 
%A Bajcar, Tom 
%A Novak, Lovrenc 
%A Kovač, Boštjan 
%D 2014
%T Flow Image Velocimetry Method Based on Advection-Diffusion Equation
%B 2014
%9 computer-aided visualization; image velocimetry; dense flow field calculation; optical flow; advection-diffusion equation; computational fluid dynamics
%! Flow Image Velocimetry Method Based on Advection-Diffusion Equation
%K computer-aided visualization; image velocimetry; dense flow field calculation; optical flow; advection-diffusion equation; computational fluid dynamics
%X This paper presents a non-contact method for velocity field calculation from a series of fluid flow images with illuminated planar layer of the flow and a mixed-in pollutant for flow visualization. Velocity field is calculated using a model similar to the optical flow that is based on the advection-diffusion equation. The model is evaluated using a set of synthetic airfoil flow visualization images generated by a combination of computational fluid dynamics and inverse advection-diffusion equation approach. Calculated velocity fields are in a good agreement with the true velocity fields.
%U https://www.sv-jme.eu/sl/article/flow-image-velocimetry-method-based-on-advection-diffusion-equation/
%0 Journal Article
%R 10.5545/sv-jme.2013.1614
%& 483
%P 12
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 60
%N 7-8
%@ 0039-2480
%8 2018-06-28
%7 2018-06-28

Bizjan, Benjamin, Alen  Orbanić, Brane  Širok, Tom  Bajcar, Lovrenc  Novak, & Boštjan  Kovač.
"Flow Image Velocimetry Method Based on Advection-Diffusion Equation." Strojniški vestnik - Journal of Mechanical Engineering [Online], 60.7-8 (2014): 483-494. Web.  23 Jan. 2026

TY  - JOUR
AU  - Bizjan, Benjamin 
AU  - Orbanić, Alen 
AU  - Širok, Brane 
AU  - Bajcar, Tom 
AU  - Novak, Lovrenc 
AU  - Kovač, Boštjan 
PY  - 2014
TI  - Flow Image Velocimetry Method Based on Advection-Diffusion Equation
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2013.1614
KW  - computer-aided visualization; image velocimetry; dense flow field calculation; optical flow; advection-diffusion equation; computational fluid dynamics
N2  - This paper presents a non-contact method for velocity field calculation from a series of fluid flow images with illuminated planar layer of the flow and a mixed-in pollutant for flow visualization. Velocity field is calculated using a model similar to the optical flow that is based on the advection-diffusion equation. The model is evaluated using a set of synthetic airfoil flow visualization images generated by a combination of computational fluid dynamics and inverse advection-diffusion equation approach. Calculated velocity fields are in a good agreement with the true velocity fields.
UR  - https://www.sv-jme.eu/sl/article/flow-image-velocimetry-method-based-on-advection-diffusion-equation/

@article{{sv-jme}{sv-jme.2013.1614},
	author = {Bizjan, B., Orbanić, A., Širok, B., Bajcar, T., Novak, L., Kovač, B.},
	title = {Flow Image Velocimetry Method Based on Advection-Diffusion Equation},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {60},
	number = {7-8},
	year = {2014},
	doi = {10.5545/sv-jme.2013.1614},
	url = {https://www.sv-jme.eu/sl/article/flow-image-velocimetry-method-based-on-advection-diffusion-equation/}
}

TY  - JOUR
AU  - Bizjan, Benjamin 
AU  - Orbanić, Alen 
AU  - Širok, Brane 
AU  - Bajcar, Tom 
AU  - Novak, Lovrenc 
AU  - Kovač, Boštjan 
PY  - 2018/06/28
TI  - Flow Image Velocimetry Method Based on Advection-Diffusion Equation
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 60, No 7-8 (2014): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2013.1614
KW  - computer-aided visualization, image velocimetry, dense flow field calculation, optical flow, advection-diffusion equation, computational fluid dynamics
N2  - This paper presents a non-contact method for velocity field calculation from a series of fluid flow images with illuminated planar layer of the flow and a mixed-in pollutant for flow visualization. Velocity field is calculated using a model similar to the optical flow that is based on the advection-diffusion equation. The model is evaluated using a set of synthetic airfoil flow visualization images generated by a combination of computational fluid dynamics and inverse advection-diffusion equation approach. Calculated velocity fields are in a good agreement with the true velocity fields.
UR  - https://www.sv-jme.eu/sl/article/flow-image-velocimetry-method-based-on-advection-diffusion-equation/

Bizjan, Benjamin, Orbanić, Alen, Širok, Brane, Bajcar, Tom, Novak, Lovrenc, AND Kovač, Boštjan.
"Flow Image Velocimetry Method Based on Advection-Diffusion Equation" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 60 Number 7-8 (28 June 2018)