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An extension of high-order shock-fitted detonation propagation in explosives. (English) Zbl 1452.76160

Summary: An update to the numerical shock-fitting scheme from [the authors, J. Comput. Phys. 332, 210–235 (2017; Zbl 1378.76127)] is proposed. The updated scheme locally lowers the order of the scheme in the region of secondary non-fitted waves that interact with the fitted front. In addition, it utilizes a non-uniform mapping from the physical space to the computational space along the streamline direction to offer computational savings over the use of an uniform spacing. The utility of the scheme is first demonstrated on planar ideal gas detonating flows. It is then applied to detonation propagation in a two-dimensional axisymmetric geometry while utilizing an Arrhenius Wescott-Stewart-Davis model for PBX 9502.

MSC:

76M20 Finite difference methods applied to problems in fluid mechanics
76L05 Shock waves and blast waves in fluid mechanics

Citations:

Zbl 1378.76127
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References:

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