New numerical approach for solving the oseen problem in a convection form in non-convex domain

2021 ◽  
Author(s):  
Viktor A. Rukavishnikov ◽  
Alexey V. Rukavishnikov
Keyword(s):  
Convex Domain ◽  
Numerical Approach ◽  
Oseen Problem

scholarly journals New Numerical Method for the Rotation form of the Oseen Problem with Corner Singularity

Symmetry ◽  
2019 ◽  
Vol 11 (1) ◽  
pp. 54 ◽  
Author(s):  
Viktor A. Rukavishnikov ◽  
Alexey V. Rukavishnikov
Keyword(s):  
Exact Solution ◽  
Approximate Solution ◽  
Velocity Field ◽  
Convergence Rate ◽  
Numerical Approach ◽  
Corner Singularity ◽  
Computational Simulations ◽  
Oseen Problem ◽  
Oseen System ◽  
Solution Velocity

In the paper, a new numerical approach for the rotation form of the Oseen system in a polygon Ω with an internal corner ω greater than 180 ∘ on its boundary is presented. The results of computational simulations have shown that the convergence rate of the approximate solution (velocity field) by weighted FEM to the exact solution does not depend on the value of the internal corner ω and equals O ( h ) in the norm of a space W 2 , ν 1 ( Ω ) .

THERMAL MODELING OF ICE-PACKS IN COOLING VESTS FOR EXTREME HOT CLIMATIC CONDITION: A NUMERICAL APPROACH

2018 ◽  
Author(s):  
Vedant Bhuyar ◽  
Shiv Ram Suthar ◽  
Mohit Vijay ◽  
Prodyut R. Chakraborty
Keyword(s):  
Climatic Condition ◽  
Thermal Modeling ◽  
Numerical Approach

Thermal Convection in Rotating Spherical Shells: an Experimental and Numerical Approach within GeoFlow

2006 ◽  
Author(s):  
Mrs. Birgit Futterer ◽  
Dr. Marcus Gellert ◽  
Mr. Thomas von Larcher ◽  
Mr. Christoph Egbers
Keyword(s):  
Thermal Convection ◽  
Numerical Approach ◽  
Spherical Shells

PARALLEL SOLVER FOR THE SIMULATIONS OF DETONATION WAVES ON UNSTRUCTURED GRIDS

2020 ◽  
Author(s):  
A. I. Lopato ◽  
◽  
A. G. Eremenko ◽  
Keyword(s):  
Chemical Kinetics ◽  
Numerical Scheme ◽  
Unstructured Grids ◽  
Numerical Study ◽  
Numerical Approach ◽  
Detonation Waves ◽  
Detailed Chemical Kinetics ◽  
Parallel Solver ◽  
Further Development ◽  
Detailed Chemical

Recently, we developed a numerical approach for the simulation of detonation waves on fully unstructured grids and applied it to the numerical study of the mechanisms of detonation initiation in multifocusing systems. Current work is devoted to further development of our numerical approach, namely, parallelization of the numerical scheme and introduction of more comprehensive detailed chemical kinetics scheme.

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