Algorithms for numerical schemes of the method of integral relations for calculating mixed gas flows

1966 ◽  
Vol 6 (6) ◽  
pp. 162-184
Author(s):  
O.M. Belotserkovskii ◽  
A. Bulekbaev ◽  
V.G. Grudnitskii
Keyword(s):  
Gas Flows ◽  
Numerical Schemes ◽  
Mixed Gas ◽  
Method Of Integral Relations ◽  
Integral Relations

scholarly journals Application of the Method of Integral Relations to the Calculation of Two-Dimensional Incompressible Turbulent Boundary Layer

1981 ◽  
Vol 48 (4) ◽  
pp. 701-706 ◽  
Author(s):  
W.-S. Yeung ◽  
R.-J. Yang
Keyword(s):  
Experimental Data ◽  
Boundary Layer ◽  
Turbulent Boundary Layer ◽  
Pressure Gradient ◽  
Numerical Solutions ◽  
Experimental Results ◽  
Two Dimensional ◽  
Incompressible Turbulent Boundary Layer ◽  
Method Of Integral Relations ◽  
Integral Relations

The orthonormal version of the Method of Integral Relations (MIR) was applied to solve for a two-dimensional incompressible turbulent boundary layer. The flow was assumed to be nonseparating. Flows with favorable, unfavorable, and zero pressure gradient were considered, and comparisons made with available experimental data. In general, the method predicted very well the experimental results for flows with favorable or zero pressure gradient; for flows with unfavorable pressure gradient, it predicted the experimental data well only up to a certain distance from the initial station. This result is due to the flow not being in equilibrium beyond that distance. Finally, the scheme was shown to be efficient in obtaining numerical solutions.

SINGULAR LINE OF THE METHOD OF INTEGRAL RELATIONS

AIAA Journal ◽  
1963 ◽  
Vol 1 (4) ◽  
pp. 928-929 ◽  
Author(s):  
CZESLAW P. KENTZER
Keyword(s):  
Singular Line ◽  
Method Of Integral Relations ◽  
Integral Relations

Shock Fitting and Numerical Modeling of Detonation Waves

1997 ◽  
Vol 08 (06) ◽  
pp. 1193-1207
Author(s):  
Muhammad Akram ◽  
Farhad Ali
Keyword(s):  
Numerical Modeling ◽  
Numerical Modelling ◽  
Simple Form ◽  
Detonation Front ◽  
Detonation Waves ◽  
Jump Conditions ◽  
Method Of Integral Relations ◽  
Complete Set ◽  
Integral Relations ◽  
Shock Fitting

Numerical modelling of detonation using shock fitting is described in detail. A complete set of jump conditions that hold across the detonation front is presented in a simple form. Validity and accuracy of the model has been established by comparison with published results and results of another model utilizing the method of integral relations. A brief description of the later model is given to highlight its validity and limitations.

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