Various aspects of incompressible viscous flow modeling using regularized equations are
considered: from the formulation of quasi hydrodynamic (QHD) equations for fluid motion to …

The possibilities of applying the pure Lagrangian vortex methods of computational fluid
dynamics to viscous incompressible flow simulations are considered in relation to various …

This article describes the open-source C++ code VM2D for the simulation of two-
dimensional viscous incompressible flows and solving fluid-structure interaction problems …

In the present paper, the efficient modification of the Barnes–Hut algorithm is proposed
based on ideas of multipole and local expansions. Such an approach allows for forming a …

A new approach is developed for incompressible 3D flow simulation around bodies by
Lagrangian vortex method. Closed vortex loops are considered as vortex elements, which …

At present, there is little doubt that accretion discs surrounding compact astrophysical
objects such as black holes, white dwarfs, and neutron stars may have magnetic field …

The Lagrangian vortex particle method for two-dimensional flow simulation around airfoils is
considered. Generally, the most time-consuming operation in the vortex method is vortex …

The problem considered in this paper arises in the vortex particle method and is similar to
the N-body problem, which is the problem of determining the velocities of all the particles …

Предложены новые численные схемы решения граничного интегрального уравнения,
решаемого в вихревых методах вычислительной гидродинамики при моделировании …

Рассмотрены интегралы, возникающие при решении граничных интегральных
уравнений, ядром в которых является логарифмический или ньютоновский потенциал …