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

scholarly journals PARALLEL COMPUTATIONS IN STUDIES OF DEPENDENCE OF GAS DYNAMIC PARAMETERS OF UPWARD SWIRLING FLOW OF GAS ON BLOWING VELOCITY

2016 ◽  
pp. 92-97
Author(s):  
R. E. Volkov ◽  
A. G. Obukhov
Keyword(s):  
Stokes Equations ◽  
Swirling Flow ◽  
Initial Conditions ◽  
Exact Analytical Solution ◽  
Three Dimensional ◽  
Navier Stokes ◽  
Heat Conducting ◽  
Computational Domain ◽  
Navier Stokes Equations ◽  
Gas Dynamic

The rectangular parallelepiped explicit difference schemes for the numerical solution of the complete built system of Navier-Stokes equations. These solutions describe the three-dimensional flow of a compressible viscous heat-conducting gas in a rising swirling flows, provided the forces of gravity and Coriolis. This assumes constancy of the coefficient of viscosity and thermal conductivity. The initial conditions are the features that are the exact analytical solution of the complete Navier-Stokes equations. Propose specific boundary conditions under which the upward flow of gas is modeled by blowing through the square hole in the upper surface of the computational domain. A variant of parallelization algorithm for calculating gas dynamic and energy characteristics. The results of calculations of gasdynamic parameters dependency on the speed of the vertical blowing by the time the flow of a steady state flow.

Sign in / Sign up

Export Citation Format

Share Document