NUMERICAL ANALYSIS OF THE NAVIER-STOKES EQUATIONS IN CONVECTIVE FORM WITH DIRICHLET BOUNDARY CONDITIONS IN THE DOMAIN WITH AN INCOMING ANGLE

The article considers the flow of a Newtonian fluid modeled using the incompressible Navier-Stokes equation in a non-convex polygon with Dirichlet boundary conditions. Discretization using FEM with weight is made. A series of numerical tests was carried out. A set of optimal parameters of the method has been determined, for which an advantage over classical approaches is achieved.

Authors

Publication Details

Journal
Informatika i sistemy upravleniya
Published
2025-01-01
DOI
https://doi.org/10.22250/18142400_2025_83_1_15
Primary Topic
Advanced Numerical Methods in Computational Mathematics
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

NUMERICAL ANALYSIS OF THE NAVIER-STOKES EQUATIONS IN CONVECTIVE FORM WITH DIRICHLET BOUNDARY CONDITIONS IN THE DOMAIN WITH AN INCOMING ANGLE

Alexey V. Rukavishnikov
Informatika i sistemy upravleniya
Advanced Numerical Methods in Computational Mathematics
article

NUMERICAL ANALYSIS OF THE NAVIER-STOKES EQUATIONS IN CONVECTIVE FORM WITH DIRICHLET BOUNDARY CONDITIONS IN THE DOMAIN WITH AN INCOMING ANGLE

Alexey V. Rukavishnikov
article en

Abstract

The article considers the flow of a Newtonian fluid modeled using the incompressible Navier-Stokes equation in a non-convex polygon with Dirichlet boundary conditions. Discretization using FEM with weight is made. A series of numerical tests was carried out. A set of optimal parameters of the method has been determined, for which an advantage over classical approaches is achieved.

Informatika i sistemy upravleniyaVol. 83(1)
Openalex Percentile: Top 72%
Advanced Numerical Methods in Computational Mathematics
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

NUMERICAL ANALYSIS OF THE NAVIER-STOKES EQUATIONS IN CONVECTIVE FORM WITH DIRICHLET BOUNDARY CONDITIONS IN THE DOMAIN WITH AN INCOMING ANGLE — Alexey V. Rukavishnikov · Informatika i sistemy upravleniya (2025) | TGRS Research Map | TGRS