Modeling of detonation

Mader, Ch. Numerical Modeling of Detonations, University of California Press, Berkeley 1979... 

D. Omellas, J. Phys. Chem., 72, 2390 (1968). Strictly speaking, the code used in this paper was the RUBY code, H. B. Levine and R. E. Sharpies, Report UCRL-6185, Lawrence Radiation Laboratory, Livermore, CA, 1962 using the BKW equation of state from C. L. Mader, Report LA-2900, Los Alamos Scientific Laboratory (1963). (See also C. L. Mader, Numerical Modeling of Detonation, University of California Press, 1979)... 

Performing mathematical analysis, advanced computational simulation, and modeling of detonation of multicomponent mixtures using real chemistry and molecular mixing. 

Structure of a steady-state plane detonation wave with finite reaction zone) (It is an analytical elaboration of von Neumann s model of detonation wave)... 

Langweiler model of detonation head. Its Engl description is given by Cook, p 91) 2) G.B. Kistiakowsky ... 

Detonation Wave, Laminar. Under this term is known a wave consisting of several thin layers located one over another. This is an ideal model of detonation in which the stream lines divide the entire region of flow into an orderly series of fluid laminae conforming to the boundary configuration (See also Refs 75 97a)... 

These are ideal models of detonation waves in which all the physical props vaty with only one coordinate which is normal to the wave front... 

C.L. Mader, Numerical Modeling of Detonations , Univ of California Press, Berkeley (1979), 293—97 [ The most useful and simplest experiment that can be performed to obtain a good estimate of the detonation C-J pressure is the plate dent test described by Smith (L.C. Smith, Explosivst No 5,106 (1967)) and performed by M. Urizar for over 30 years at Los Alamos. Of the usual experiments used to study detonation... 

We will need some background before we describe a further application of the polytropic EOS, namely estimation of the magnitude of the spike pressure. The VonNeumann-Zeldovitch-Doering model of detonation can be summarized graphically as shown in Fig 3 (sketch taken from Ref 18) ... 

C. L. Mader Numerical Modeling of Detonation, University of California Press,... 

Under the assumption of a steady-state model of detonation, the EXPL05 program allows the calculation of the detonation parameters and also the chemical composition of the system at the C-J point. For the calculations, the BKW equation of state is applied for gases, where X, is the mole fraction of the i-th gaseous component and kj is the molar covolume of the i-th gaseous detonation products ... 

In this chapter we will only consider the ideal detonation case. We shall start by examining a simple model of detonation. We will then go on to see methods for estimating steady-state detonation parameters and from these to estimating the Hugoniots of detonation product gases. We will then look at interactions of detonation waves with other materials with which the explosive is in contact. 

In the simple model of detonation we treated the reaction zone as if it did not exist, had zero length. We know, of course, that this is not really the case. Figure... 

Many materials produce large quantities of solid products upon detonation. The most common solid detonation product is carbon, although some explosives produce aluminum and aluminum oxide [105]. Uncertainties in the equation of state and phase diagram of carbon remain a major issue in the thermochemical modeling of detonation, van Thiel and Ree have proposed an accurate Mie-Gruneisen equation of state for carbon [106]. Fried and Howard... 

Various models of detonation chambers from CH2M hill s product line have been used for destmction of conventional weapons in the United States (Bixler,... 

Detonation is a process of layer-by-layer, supersonic propagation of chemical reactions through an explosive (Figure 4.1). According to the generally accepted Zeldovich-von Neumann-Doering (ZND) model of detonation, chemical reactions occur at a definite rate in the chemical reaction zone, under the action of a shock wave (Baum et al., 1975 Berger and Viard, 1962 Cheret, 1979, 1993 Cook, 1958, 1974 Fickett and Davis, 1979 Johansson and Persson, 1970 Mader, 1979 Thevenin, 1978). 

According to the ZND model of detonation, detonation wave structure (Figure 4.31) includes... 

The detonation wave structure proposed by the ZND model of detonation was proven by numerous experimental works. Also, those experiments have proven the existence of the chemical spike steady zone, viiich does not depend on the length of the explosive charge and ends in the CJ point. In addition, the existence of the unsteacfy zone of the expansion of the detonation products where the pressure decrease depends on the length of the explosive charge (see Figure 4.45) has been proven. 

Leiber CO (2003) Assesment of safety and risk with a microscopic model of detonation. Elsevier, Amsterdam... 

The modeling of detonation, which is a reactive shock, requires a number of tricks to make an assembly of finite elements behave acceptably when the parameters are evaluated and advanced with finite time steps. The two major variations involve artificial viscosity and rezoning, both discussed in the descriptions of KIVA (1) and its predecessor ALE (2). 

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