Numerical methods in fluid mechanics – an overview

Wojciech Sobieski

University of Warmia and Mazury

 Research fields:

• applications and development of numerical methods of mechanics
• investigations on the spatial structure of granular porous media
• investigations on fluid flows through porous media
• investigations on dynamics of fluidized beds
• investigations on the cavitation phenomenon in hydraulic systems
• investigations on water hammer in water rams
• investigations on bifurcation phenomena in flow systems
• investigations on heat diffusion in heterogeneous materials
• sensitivity analysis of mathematical models


https://orcid.org/0000-0003-1434-5520

Božidar Šarler

University of Ljubljana, Ljubljana, Slovenia
https://orcid.org/0000-0003-0618-6873


Abstrakt

The article presents in a review way the most important numerical methods used in modern fluid mechanics. The individual chapters discuss Finite Difference Method, Finite Volume Method, Lattice Boltzmann Method, Discrete Element Method and Smoothed Particle Hydrodynamics. The aim of the article is to familiarize the reader with the most important concepts, features and mathematical equations used in particular methods. The article is intended mainly for people who want to get acquainted with the current possibilities of numerical modelling in the field of broadly understood fluid mechanics. The material is intended to facilitate the decision on how to implement the planned play research.


Słowa kluczowe:

CFD, numerical modelling, mesh methods, meshless methods

Instytucje finansujące

The publication was written as a result of the author's internship in the Ljubljana University in Slovenia, co-financed by the European Union under the European Social Fund (Operational Program Knowledge Education Development), carried out in the project Development Program at the University of Warmia and Mazury in Olsztyn (POWR.03.05. 00-00-Z310/17).


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Opublikowane
10-11-2023

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Sobieski, W., & Šarler, B. (2023). Numerical methods in fluid mechanics – an overview. Technical Sciences, 26(26), 185–218. https://doi.org/10.31648/ts.9212

Wojciech Sobieski 
University of Warmia and Mazury
<p>&nbsp;<span style="font-size: small;"><u>Research fields</u>:</span></p> <p>• applications and development of numerical methods of mechanics<br> • investigations on the spatial structure of granular porous media<br> • investigations on fluid flows through porous media<br> • investigations on dynamics of fluidized beds<br> • investigations on the cavitation phenomenon in hydraulic systems<br> • investigations on water hammer in water rams<br> • investigations on bifurcation phenomena in flow systems<br> • investigations on heat diffusion in heterogeneous materials<br> • sensitivity analysis of mathematical models</p>  Polska
https://orcid.org/0000-0003-1434-5520

 Research fields:

• applications and development of numerical methods of mechanics
• investigations on the spatial structure of granular porous media
• investigations on fluid flows through porous media
• investigations on dynamics of fluidized beds
• investigations on the cavitation phenomenon in hydraulic systems
• investigations on water hammer in water rams
• investigations on bifurcation phenomena in flow systems
• investigations on heat diffusion in heterogeneous materials
• sensitivity analysis of mathematical models


Božidar Šarler 
University of Ljubljana, Ljubljana, Slovenia
https://orcid.org/0000-0003-0618-6873



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