Determination of computational time step for chemically reacting flows

Author(s):  
TING-LUNG CHIANG ◽  
KLAUS HOFFMANN
1994 ◽  
Vol 29 (1-2) ◽  
pp. 53-61
Author(s):  
Ben Chie Yen

Urban drainage models utilize hydraulics of different levels. Developing or selecting a model appropriate to a particular project is not an easy task. Not knowing the hydraulic principles and numerical techniques used in an existing model, users often misuse and abuse the model. Hydraulically, the use of the Saint-Venant equations is not always necessary. In many cases the kinematic wave equation is inadequate because of the backwater effect, whereas in designing sewers, often Manning's formula is adequate. The flow travel time provides a guide in selecting the computational time step At, which in turn, together with flow unsteadiness, helps in the selection of steady or unsteady flow routing. Often the noninertia model is the appropriate model for unsteady flow routing, whereas delivery curves are very useful for stepwise steady nonuniform flow routing and for determination of channel capacity.


10.2514/3.261 ◽  
1991 ◽  
Vol 5 (3) ◽  
pp. 274-283 ◽  
Author(s):  
Philip E. Buelow ◽  
John C. Tannehill ◽  
John O. levalts ◽  
Scott L. Lawrence

10.2514/3.157 ◽  
1990 ◽  
Vol 4 (2) ◽  
pp. 149-156 ◽  
Author(s):  
John C. Tannehill ◽  
John O. Ievalts ◽  
Philip E. Buelow ◽  
Dinesh K. Prabhu ◽  
Scott L. Lawrence

Author(s):  
Alexander M. Molchanov ◽  
Anna A. Arsentyeva

An implicit fully coupled numerical method for modeling of chemically reacting flows is presented. Favre averaged Navier-Stokes equations of multi-component gas mixture with nonequilibrium chemical reactions using Arrhenius chemistry are applied. A special method of splitting convective fluxes is introduced. This method allows for using spatially second-order approximation in the main flow region and of first-order approximation in regions with discontinuities. To consider the effects of high-speed compressibility on turbulence the author suggests a correction for the model, which is linearly dependent on Mach turbulent number. For the validation of the code the described numerical procedures are applied to a series of flow and heat and mass transfer problems. These include supersonic combustion of hydrogen in a vitiated air, chemically reacting flow through fluid rocket nozzle, afterburning of fluid and solid rocket plumes, fluid dynamics and convective heat transfer in convergent-divergent nozzle. Comparison of the simulation with available experimental data showed a good agreement for the above problems.


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