- Computational Fluid Dynamics and Aerodynamics
- Fluid Dynamics Simulations and Interactions
- Fluid Dynamics and Vibration Analysis
- Advanced Numerical Methods in Computational Mathematics
- Fluid Dynamics and Turbulent Flows
- Lattice Boltzmann Simulation Studies
- Relativity and Gravitational Theory
- Black Holes and Theoretical Physics
- Cosmology and Gravitation Theories
- Numerical methods in engineering
Bauman Moscow State Technical University
2021-2024
This article describes the open-source C++ code VM2D for simulation of two-dimensional viscous incompressible flows and solving fluid-structure interaction problems. The is based on Viscous Vortex Domains (VVD) method developed by Prof. G. Ya. Dynnikova, where viscosity influence taken into account introducing diffusive velocity. original VVD was supplemented author’s algorithms boundary condition satisfaction, which made it possible to increase accuracy flow near airfoil’s surface line...
The possibilities of applying the pure Lagrangian vortex methods computational fluid dynamics to viscous incompressible flow simulations are considered in relation various problem formulations. modification methods—the Viscous Vortex Domain method—is used which is implemented VM2D code developed by authors. Problems simulation around airfoils with different shapes at Reynolds numbers considered: Blasius problem, circular cylinders numbers, a wing airfoil 104 and 105, two closely spaced...
In classical works, equations for the fields of gravity and electromagnetism are proposed without deriving right-hand sides. Here we give derivation sides analysis stress–energy tensor within framework Vlasov–Maxwell–Einstein models Milne–McCrea Friedman type. New accelerated expansion Universe Einstein's lambda proposed.
The most general structure of a computational algorithm that implements meshless Lagrangian methods fluid dynamics is discussed. Not only the main ones are touched upon, but also “auxiliary”, therefore no less important procedures, which implementation often practically ignored. latter can lead to significant imbalance and decrease in efficiency codes “basic” operations significantly optimized. author's in-house VM2D VM3D discussed, development at first (“exploratory”) stage proceeded mainly...
Abstract The problem of 2D incompressible flow simulation around airfoils with sharp edges and corner point is considered. solution the boundary integral equation respect to vortex sheet intensity arising in Lagrangian method has weak singularity that cannot be resolved correctly framework existing Galerkin-type numerical schemes. It shown for piecewise-smooth bounded solutions known schemes allow reconstruction high quality provide 2-nd order accuracy, while singular their accuracy goes...
The problem of 2D incompressible flow simulation around airfoils with sharp edges and corner points is considered.The solution the boundary integral equation respect to vortex sheet intensity, arising in Lagrangian method, has weak singularity that cannot be resolved correctly framework existing Galerkin-type numerical schemes.Known schemes piecewise-constant or piecewise-linear representation provide reconstruction high quality second order accuracy only for piecewise-smooth bounded...