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September 10, 2025Russian Journal of Numerical Analysis and Mathematical Modelling

Numerical solution of BVP for the incompressible Navier–Stokes equations at large Reynolds numbers

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Authors

DLDmitri V. LomasovLomonosov Moscow State University PVPetr N. VabishchevichNorth-Eastern Federal University

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Implication

This analysis investigates numerical algorithms for stationary solutions of boundary value problems, indicating challenges due to instabilities in flows.

Key Points

Numerical methods reveal two distinct solutions at high Reynolds numbers, highlighting non-uniqueness.
The study employs finite element approximation to model incompressible fluid flows effectively.
Iterative methods focus on nonlinear aspects of convective transport in fluid dynamics.
The findings underscore the complexities of solving Navier–Stokes equations under specific flow conditions.

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Lomasov et al. (2025) studied this question.

synapsesocial.com/papers/68c1a77254b1d3bfb60e09a7 https://doi.org/10.1515/rnam-2025-0021

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Implication

This analysis investigates numerical algorithms for stationary solutions of boundary value problems, indicating challenges due to instabilities in flows.

Numerical solution of BVP for the incompressible Navier–Stokes equations at large Reynolds numbers

Discussion

Member takes

Implication

Key Points

Cite This Study

Numerical solution of BVP for the incompressible Navier–Stokes equations at large Reynolds numbers

Discussion

Member takes

Implication

Key Points

Cite This Study

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