3D Mesh-Free Detonation Tracking with SDOT

Mesh-free detonation front tracking offers significant advantages over traditional mesh-based detonation tracking methods, including runtime resolution flexibility, the elimination of mesh imprinting, and a compact data structure. Despite these benefits, the adoption of mesh-free approaches has been hindered by three major challenges in front resetting: (A) maintaining point distribution consistency, (B) accurately handling intersections between front and explosive boundaries, and (C) resolving front-intersection.

In this work, we present solutions to these challenges that enable robust front evolution. Challenge (A) is addressed through a combination of point smoothing and Huygens-construction techniques, ensuring stable point distribution. Challenge (B) is resolved by computing the intersection between a conic surface and planar boundary faces, improving geometric accuracy. To tackle challenge (C), we introduce a moving action plane, which decomposes the intersection of two conic surfaces into two separate conic surface-plane intersections, facilitating robust front resolution.

We validate these methods through numerical experiments using the SDOT mesh-free front tracking package, developed at LLNL. Our results demonstrate SDOT’s capability to accurately track a dynamically evolving detonation front, governed by an advanced DSD front evolution law. These findings establish SDOT as a powerful tool for front-tracking applications, expanding the feasibility of mesh-free approaches in computational physics.