Modelling detonation waves in heterogeneous energetic materials

A Cell-Centered Multiphase ALE Scheme With Structural Coupling

“…Following the steps of Chinnayya et al [22], combine the indicator function with the state and flux tensors using the product rule of differentiation:…”

“…This section will proceed to develop the discrete form of the equation and discuss how to evaluate each term. The numerical discretization follows Chinnayya et al [22], while extending the method to account for the moving control volume. Whereas the original reference relied on a structured Cartesian mesh, the current description is presented for arbitrary spatial decomposition, although in practice only 8-node 3D brick elements and 4-node 2D quadrilateral elements have been utilized.…”

Analysis of Twophase Flow Model Equations

“…The models we consider have distinct phase pressures and lead to hyperbolic models, eliminating mathematical difficulties of complex characteristics associated with single pressure flow models having distinct velocities. In this sense they are an outgrowth of earlier studies by Stewart and Wendroff [23], Ransom and Hicks [20], Chen et al [4,12], Saltz et al [12] and Saurel et al [22,1,8]. Multiphase flow has been studied for many decades, with the basic physics and equations developed in the classical treateses of Wallis [24] and Drew [9].…”

Modeling of aqueous foam blast wave attenuation

“…Each phase is governed by its own equation of state: perfect gas law for the gas phase and stiffened gas for the liquid phase. The interfacial variables P i , u i are issued from the homogenization method Discrete Equation Method (DEM) [10]. They play a key role on material interfaces which separate non-miscible fluids and enable the interface conditions -velocity and pressure uniformity across an interface, to be satisfied by the model.…”