The VM2D Open Source Code for Two-Dimensional Incompressible Flow Simulation by Using Fully Lagrangian Vortex Particle Methods

• Published in: Axioms 2023-03, Vol.12 (3), p.248
• Main Authors: Marchevsky, Ilia, Sokol, Kseniia, Ryatina, Evgeniya, Izmailova, Yulia
• Format: Article
• Language: English
• Subjects: Algorithms; Boundary conditions; Efficiency; Flow simulation; Fluid flow; Fluid-structure interaction; fluid-structure interaction problem; Incompressible flow; Integral equations; Lagrange vortex method; Lagrangian method; Mathematical models; Methods; MPI; OpenMP; Parallel processing; Parallel programming; Particle accelerators; Particle methods (mathematics); Simulation; Source code; Two dimensional flow; Velocity; Viscous Vortex Domain method; Vortex-motion; Vortices
• ISSN: 2075-1680; 2075-1680
• DOI: 10.3390/axioms12030248

This article describes the open-source C++ code VM2D for the simulation of two-dimensional viscous incompressible flows and solving fluid-structure interaction problems. The code is based on the Viscous Vortex Domains (VVD) method developed by Prof. G. Ya. Dynnikova, where the viscosity influence is taken into account by introducing the diffusive velocity. The original VVD method was supplemented by the author’s algorithms for boundary condition satisfaction, which made it possible to increase the accuracy of flow simulation near the airfoil’s surface line and reduce oscillations when calculating hydrodynamic loads. This paper is aimed primarily at assessing the efficiency of the parallelization of the algorithm. OpenMP, MPI, and Nvidia CUDA parallel programming technologies are used in VM2D, which allow performing simulations on computer systems of various architectures, including those equipped with graphics accelerators. Since the VVD method belongs to the particle methods, the efficiency of parallelization with the usage of graphics accelerators turns out to be quite high. It is shown that in a real simulation, one graphics card can replace about 80 nodes, each of which is equipped with 28 CPU cores. The source code of VM2D is available on GitHub under GNU GPL license.