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Numerical methods in fluid mechanics – an overview

Sobieski Wojciech, Šarler Božidar

Technical Sciences / University of Warmia and Mazury in Olsztyn

2023

nr 26(1)

185--218

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.

On one method for constructing a dynamical mesh of nonlinear quasiperfect processes in deformable anisotropic media

Bomba A., Kashtan S.

Journal of Applied Computer Science

2004

Vol. 12, nr 2

7-21

A new algorithm has been developed for numerical solving inverse nonlinear boundary value problems on quasiconformal mapping in anisotropic media, which are curvilinear tetragons limited by lines of a flow and equipotential lines under action of a potential gradient tensor. The dynamical mesh has been constructed and the velocity field of the domain has been calculated.