Abstract
We consider Riemann-problem based (RPB) numerical techniques for two-phase reactive flows with moving boundaries. Given the still unresolved problem of hyperbolicity we adopt a mixed hyperbolic-elliptic mathematical model. A successful strategy consists of identifying two hyperbolic homogeneous systems, one for each phase. The remaining terms are regarded as (stiff) source terms. The associated Riemann problems are solved exactly and approximately. Two RPB methods are then used, namely Roe's method and a Weighted Average Flux Method (WAF) due to the author. Application of the technioues to a shock tube problem and a ballistics problem are carried out.
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Gough, P. 1979 Modelling of two-phase flow in guns. Interior Ballistics of Guns, Krier and Summerfield (Eds.). Progress in Astronautics and Aeronautics Series, V 66, pp 177–196.
Stewart, H.B. and Wendroff, B. 1984. Two-phase flows: Models and Methods (Review Article). J. Comput. Physics, 56 363–409.
Fitt, A.D. 1988. Some aspects of Internal Ballistics Theory. Proc. 5th Anglo-German Meeting on Ballistics, Unterluss, W. Germany, June 1988.
Roe, P.L. 1981 Approximate Riemann solvers, parameter vectors, and difference schemes. J. Compt. Physics, V 43, pp 357–372.
Roe, P.L. 1985 Some contributions to the modelling of discontinuous flows. Lectures in Applied Mathematics, V 22, pp 163–193.
Woodward, P. and Colella, P. 1984 The numerical simulation of two-dimensional fluid flow with strong shocks. J. Comput. Physics, V. 54, pp 115–173.
Toro, E.F. 1988a A weighted average flux method for hyperbolic conservation laws. Proc. Roy. Soc. London (to appear).
Toro, E.F. 1988b A fast Riemann solver with constant covolume applied to the Random Choice Method. Intern. J. for Numer. Methods in Fluids (to appear).
Toro, E.F. 1988c Riemann problems associated with two-phase flows: Part I. CoA Report No. 8815, Aerodynamics Dept., Cranfield Inst. of Technology, Cranfield, Beds. UK.
Fluid Dynamics aspects of Internal Ballistics. AGARD Report. AGARD-AR-172, 1982.
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© 1989 Springer-Verlag
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Toro, E.F. (1989). Riemann-problem-based techniques for computing reactive two-phased flows. In: Dervieux, A., Larrouturou, B. (eds) Numerical Combustion. Lecture Notes in Physics, vol 351. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51968-8_108
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DOI: https://doi.org/10.1007/3-540-51968-8_108
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