Triple layer system for numerical integration of equations of gas dynamics and nonlinear heat conduction equation
Abstract
The triple layer imlicit system of through count for equations of gas dynamics is examined. The method of construction of multi-layer systems that provide for preserving the order of approximation at time irregular network is shown. The solution of system of difference equations of gas dynamics is used as an example for describing the iterational method which combines fast convergence of iterations of the Newton's method, logical simplicity and economical efficiency of the method of pass and the method of group relaxation. The results of calculations according to the suggested system are presented. The comparison of three difference systems is made on the example of numerical calculation of the generalized solution of the heat conduction equation.
- Publication:
-
NASA STI/Recon Technical Report N
- Pub Date:
- October 1984
- Bibcode:
- 1984STIN...8520277Z
- Keywords:
-
- Computational Fluid Dynamics;
- Conductive Heat Transfer;
- Flow Equations;
- Gas Dynamics;
- Nonlinear Equations;
- Numerical Integration;
- Convergence;
- Difference Equations;
- Linearization;
- Newton Methods;
- Fluid Mechanics and Heat Transfer