Modelling the wave phenomena in acoustic and elastic media with sharp variations of physical properties using the grid‐characteristic method

AV Favorskaya, MS Zhdanov, NI Khokhlov… - Geophysical …, 2018 - earthdoc.org
This paper introduces a novel method of modelling acoustic and elastic wave propagation in
inhomogeneous media with sharp variations of physical properties based on the recently …

Grid-characteristic method

AV Favorskaya, IB Petrov - Innovations in Wave Processes Modelling and …, 2018 - Springer
In this chapter, a family of grid-characteristic methods for numerical simulation is considered.
These methods are developed and used to solve a wide range of applied problems …

On the estimation of seismic resistance of modern composite oil pipeline elements

KA Beklemysheva, AV Vasyukov, VI Golubev… - Doklady …, 2018 - Springer
The initiation of seismic activity on the continental shelf and its destructive effect on
composite oil pipelines laid on the seabed is modeled numerically. The dynamic behavior of …

Grid-characteristic numerical method for low-velocity impact testing of fiber-metal laminates

KA Beklemysheva, AV Vasyukov, AO Kazakov… - Lobachevskii Journal of …, 2018 - Springer
The grid-characteristic numerical method (GCM) for hyperbolic equations systems is applied
in many science fields—gas dynamics, hydrodynamics, plasma dynamics, etc. Its application …

Combination of grid-characteristic method on regular computational meshes with discontinuous Galerkin method for simulation of elastic wave propagation

AV Favorskaya, IB Petrov - Lobachevskii Journal of Mathematics, 2021 - Springer
An advantage of the discontinuous Galerkin method is the ability to describe complex
contact surfaces by using unstructured computational grids. However, the use of the …

Numerical modeling of non-destructive testing of composites

I Petrov, A Vasyukov, K Beklemysheva… - Procedia Computer …, 2016 - Elsevier
Low-velocity strikes are considered as one of the most dangerous load types for composites,
especially in aviation. They do not lead to an immediate destruction of a whole detail, but …

Numerical simulation of fracturing in geological medium

A Favorskaya, I Petrov, A Grinevskiy - Procedia computer science, 2017 - Elsevier
Fracturing is the fundamental quality of real rocks, their most important characteristic, the
subject of research and the source of information about the geological environment and oil …

Damage modeling in hybrid composites subject to low-speed impact

KA Beklemysheva, IB Petrov - Mathematical Models and Computer …, 2019 - Springer
Polymer composites are reinforced with one or several metal layers to increase the strength
of parts made of composites. This work is devoted to modeling the behavior of such …

Wave processes modelling in geophysics

AV Favorskaya, NI Khokhlov, VI Golubev… - Innovations in Wave …, 2018 - Springer
In this chapter, the application of the grid-characteristic method to solving seismic
prospecting problems is considered. The characteristic seismogeological models, including …

On seismic imaging of fractured geological media

VI Golubev, OY Voinov, YI Zhuravlev - Doklady Mathematics, 2017 - Springer
Seismic waves propagating in a fractured geological medium are numerically simulated.
Their dynamic behavior is described using a linear elastic model with an explicit description …