Abstract
This is a summary of the results of the five groups that have calculated the test problem A of the GAMM-Workshop on Numerical Methods in Laminar Flame Propagation. The test problem is formulated and the six different test cases are defined. The numerical methods of solution and the used grid point system are described and the numerical results are discussed. For the cases with Le = 1 a good agreement is achieved with all methods. For Le > 2 oscillations may occur that require a very sensitive grid adaption in time direction. It is concluded that extreme care must be taken in calculating unsteady flames with Lewis-numbers different from unity.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ludford, G.S.S.: Activation Energy Asymptotics of the Plane Premixed Flame, This workshop.
Bush, W.B., Fendell, F.E.: Asymptotic Analysis of Laminar Flame Propagation for General Lewis Numbers, Comb. Sci. Techn. 1 (1970), 421–428.
Sivashinsky, G.I.: On a Converging Spherical Flame Front, Int. J. Heat Mass Transf. 17 (1974), 1499–1506.
Peters, N.: Theoretical Implications of Nonequal Diffusivities of Heat and Matter on the Stability of a Plane Premixed Flame, This workshop.
Rogg, B.: The Effect of Lewis Number Greater than Unity on an Unsteady Propagating Flame with One-Step Chemistry, This workshop.
Madsen, N.K., Sincovec, R.F.: PDECOL: General Collocation Software for Partial Differential Equations, Preprint UCRL-78263 (Rev 1), Lawrence Livermore Laboratory (1977).
de Boor, C.: Package for Calculating with B-Splines, SIAM J. Numer. Anal. 14 (1977), 441–472.
Coffee, T.P.: Flat Flame Olympics: Test Problem A, Internal Report, Ballistic Research Laboratory, Aberdeen Proving Ground (1981).
Schönauer, W., Raith, K., Glotz, G.: The Principle of the Difference of Difference Quotients as a Key to the Self-adaptive Solution of Non-Linear Partial Differential Equations, Comp. Meth. Apll. Mech. Engng. 28 (1981), 327–359.
Schönauer, W., Raith, K., Glotz, G.: The SLDGL-Program Package for the Selfadaptive Solution of Nonlinear Systems of Elliptic and Parabolic PDE’s, Advances in Computer Methods for Partial Differential Equations–IV, Eds.: R. Vichnevetzky, R.S. Stepleman, IMACS 1981, 117–125.
Reitz, R.D.: Computations of Laminar Flame Propagation Using an Explicit Numerical Method, 18th Symp. (Int.) on Combust., The Combustion Institute, Pittsburgh 1981, 433–442.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1982 Springer Fachmedien Wiesbaden
About this chapter
Cite this chapter
Peters, N. (1982). Discussion of Test Problem A. In: Peters, N., Warnatz, J. (eds) Numerical Methods in Laminar Flame Propagation. Notes on Numerical Fluid Mechanics, vol 6. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-14006-1_1
Download citation
DOI: https://doi.org/10.1007/978-3-663-14006-1_1
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-08080-8
Online ISBN: 978-3-663-14006-1
eBook Packages: Springer Book Archive