On the scope of Lagrangian vortex methods for two-dimensional flow simulations and the POD technique application for data storing and analyzing

K Kuzmina, I Marchevsky, I Soldatova, Y Izmailova - Entropy, 2021 - mdpi.com
The possibilities of applying the pure Lagrangian vortex methods of computational fluid
dynamics to viscous incompressible flow simulations are considered in relation to various …

The VM2D open source code for two-dimensional incompressible flow simulation by using fully Lagrangian vortex particle methods

I Marchevsky, K Sokol, E Ryatina, Y Izmailova - Axioms, 2023 - mdpi.com
This article describes the open-source C++ code VM2D for the simulation of two-
dimensional viscous incompressible flows and solving fluid-structure interaction problems …

Fast Barnes–Hut-based algorithm in 2D vortex method of computational hydrodynamics

I Marchevsky, E Ryatina, A Kolganova - Computers & Fluids, 2023 - Elsevier
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 …

On the calculation of the vortex sheet and point vortices effects at approximate solution of the boundary integral equation in 2D vortex methods of computational …

KS Kuzmina, IK Marchevskii - Fluid Dynamics, 2019 - Springer
When simulating incompressible flow around airfoil using vortex methods of computational
hydrodynamics, it is necessary to solve the boundary integral equation with respect to the …

Exact solutions of boundary integral equation arising in vortex methods for incompressible flow simulation around elliptical and Zhukovsky airfoils

K Kuzmina, I Marchevsky… - Journal of Physics …, 2019 - iopscience.iop.org
The problem of 2D incompressible flow simulation around airfoils using vortex methods is
considered. An exact solution for the boundary integral equation with respect to a free vortex …

Open source code for 2D incompressible flow simulation by using meshless Lagrangian vortex methods

KS Kuzmina, IK Marchevsky… - 2017 Ivannikov ISPRAS …, 2017 - ieeexplore.ieee.org
Open Source C++ code is developed for 2D incompressible flow simulation by using vortex
methods. The code has modular structure, it permits users to simulate flow around airfoils …

Exact analytical formulae for linearly distributed vortex and source sheets in uence computation in 2D vortex methods

KS Kuzmina, IK Marchevsky… - Journal of Physics …, 2017 - iopscience.iop.org
We consider the methodology of numerical schemes development for two-dimensional
vortex method. We describe two different approaches to deriving integral equation for …

Numerical simulation in 2D strongly coupled FSI problems for incompressible flows by using vortex method

K Kuzmina, I Marchevsky, E Ryatina - AIP Conference Proceedings, 2018 - pubs.aip.org
Two coupling strategies for numerical simulation in Fluid-Structure Interaction problems
using vortex methods are considered and implemented in new open-source code VM2D …

[PDF][PDF] On CPU and GPU parallelization of VM2D code for 2D flows simulation using vortex method

K Kuzmina, I Marchevsky… - Proceedings of the 6th …, 2018 - congress.cimne.com
VM2D is an open-source software being developed by the authors for twodimensional
incompressible flows simulations around airfoils. VM2D is based on meshless Lagrangian …

Improved algorithm of boundary integral equation approximation in 2D vortex method for flow simulation around curvilinear airfoil

I Marchevsky, K Kuzmina, I Soldatova - AIP Conference Proceedings, 2018 - pubs.aip.org
The problem of the accuracy improving is considered for vortex method. It is shown, that the
airfoil surface line representation as a polygon consisting of rectilinear panels can lead to …