5 papers
Computational homogenization of unsteady flows in a periodic porous medium
P. N. Vabishchevich
The work is devoted to the development and computational implementation of the homogenization method for modeling unsteady flows of a viscous incompressible fluid in periodic porou…
Numerical solution of 2D boundary value problems on merged Voronoi-Delaunay meshes
M. M. Chernyshov, P. N. Vabishchevich
Computational technologies for the approximate solution of multidimensional boundary value problems often rely on irregular computational meshes and finite-volume approximations. I…
Computational algorithm for downward continuation of gravity anomalies
D. K. Ivanov, L. N. Temirbekova, P. N. Vabishchevich
The downward continuation of potential fields from the Earth's surface into the subsurface is a critical task in gravity exploration, as it helps to identify the sources of gravity…
Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium
P. N. Vabishchevich
In homogenization theory, mathematical models at the macro level are constructed based on the solution of auxiliary cell problems at the micro level within a single periodicity cel…
Numerical solution of BVP for the incompressible Navier-Stokes equations at large Reynolds numbers
D. V. Lomasov, P. N. Vabishchevich
The problems of numerical modeling of viscous incompressible fluid flows are widely considered in computational fluid dynamics. Stationary solutions of boundary value problems for…