Application of Splitting Algorithms in the Method of Finite Volumes for Numerical Solution of the Navier–Stokes Equations

2018 ◽  
Vol 12 (3) ◽  
pp. 479-491 ◽  
Author(s):  
V. M. Kovenya ◽  
P. V. Babintsev
Keyword(s):  
Numerical Solution ◽  
Stokes Equations ◽  
Finite Volumes ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Splitting Algorithms

Splitting algorithms for numerical solution of Euler and Navier–Stokes problems

2014 ◽  
Vol 29 (6) ◽  
Author(s):  
Victor M. Kovenya
Keyword(s):  
Numerical Solution ◽  
Stokes Equations ◽  
Stability Margin ◽  
Navier Stokes ◽  
Heat Conducting ◽  
Grid Node ◽  
Navier Stokes Equations ◽  
Splitting Algorithms ◽  
Splitting Technique ◽  
Stokes Problems

AbstractAn optimal splitting technique is proposed for numerical solution of the Euler and Navier-Stokes equations for a compressible heat-conducting gas. This technique is common for original equations in the divergent and nondivergent form. Based on this splitting, a class of economical (in the number of operations per a grid node) difference schemes is proposed so that those schemes are implemented on fractional steps by the scalar sweep methods and have a large stability margin, but have a lesser number of sweep steps in their implementation.

Numerical solution of the reduced Navier-Stokes equations for internal incompressible flows

AIAA Journal ◽  
2000 ◽  
Vol 38 ◽  
pp. 1603-1614
Author(s):  
Martin Scholtysik ◽  
Bernhard Mueller ◽  
Torstein K. Fannelop
Keyword(s):  
Numerical Solution ◽  
Incompressible Flows ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations
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