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Simulation of the Effects of an Air Blast Wave - ELSA - Europa

Simulation of the Effects of an Air Blast Wave - ELSA - Europa

Simulation of the Effects of an Air Blast Wave - ELSA - Europa

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parameters <strong>of</strong> <strong>the</strong> JWL-equation should represent this limitation (see Shin [21]). Shin shows <strong>the</strong>influence <strong>of</strong> <strong>the</strong> discretisation with a 1D model, where a finer mesh reproduces larger pressures.The results with <strong>the</strong> models explosive1 to explosive4 show <strong>the</strong> same dependency <strong>of</strong> <strong>the</strong> elementsizes (Figure 14). The Chapm<strong>an</strong>-Jouguet-pressure seems to be <strong>the</strong> limit in <strong>the</strong> convergence study.2.40E+102.00E+10Pressure [Pa]1.60E+101.20E+108.00E+09t=7e-6t=1.4e-6Shin t=7e-6Shin t=1.4e-5Chapm<strong>an</strong>-Jouguet-pressure4.00E+090.00E+000 200 400 600 800 1000 1200 1400 1600 1800 2000Number <strong>of</strong> elementsFigure 14: Maximum pressures in <strong>the</strong> explosive depending on <strong>the</strong> number <strong>of</strong> elementsThe ra<strong>the</strong>r unexpected behaviour <strong>of</strong> <strong>the</strong> models with 499 <strong>an</strong>d 859 elements has to be clarified. Thereason could lie in <strong>the</strong> location <strong>of</strong> <strong>the</strong> detonation point in conjunction with <strong>the</strong> location <strong>of</strong> <strong>the</strong>integration points.Figure 15 shows <strong>the</strong> pressure depending on <strong>the</strong> dist<strong>an</strong>ce from <strong>the</strong> initiation point. The curve doesnot differ for models with fine discretisation. It is observed that <strong>the</strong> pressures behind <strong>the</strong> pressurepeak in <strong>the</strong> model explosive6 are definitely smaller th<strong>an</strong> <strong>the</strong> results <strong>of</strong> Shin. Therefore, <strong>the</strong> areaunder <strong>the</strong> pressure-dist<strong>an</strong>ce curve is also smaller. This area reaches only 67 % <strong>of</strong> <strong>the</strong> area <strong>of</strong> Shin.The reason could be <strong>the</strong> missing burn fraction (see chapter 4.1).26

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