Abstract

For condensed-phase detonation, we develop a block-structured adaptive multiresolution method for the reactive compressible Euler equations coupled with the ignition-and-growth model and the JWL (Jones–Wilkins–Lee) equation of state. A second-order Runge–Kutta local time-stepping strategy is employed, and the governing equations are advanced with a two-step operator-splitting procedure. First, the homogeneous conservation laws are discretized by fifth-order WENO (Weighted Essentially Non-Oscillatory) finite differences. Then, the chemical source term is integrated by solving an ordinary differential equation. Because condensed-phase detonations exhibit extremely small characteristic scales in the chemical reaction zone, the proposed method is designed to capture the detonation front, shock waves, and the reaction zone accurately and efficiently. It uses adaptive multiresolution with a reaction zone preservation treatment based on the reaction progress variable to maintain fine resolution in chemically active regions, thereby keeping the lead shock and the reaction zone at the finest grid level. This algorithm significantly improves computational efficiency without compromising key physical features. One-, two-, and three-dimensional benchmark cases are used for validation. The results show that the proposed method accurately captures detonation wave structures and reaction zone characteristics. In particular, compared with uniformly refined computations, it maintains high accuracy while substantially reducing the active-cell count and runtime.

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