Revealing the Richtmyer-Meshkov Instability Within Gas Dynamic Detonations

Abstract

Computational Fluid Dynamics (CFD) analysis are widely used in modern risk assessment procedure in order to understand detonations during a given situation or an accident. Combustion regimes including deflagration, detonation transition and detonation are extremely important. Hydrodynamic instabilities during detonation make it even harder to simulated. Numerous lingering numerical challenges still exists in the areas of simulating gas detonation flows. Among these challenges is the inability of many high order numerical schemes to simulated gas denotation and wave propagation without getting into regions of negative density or negative pressure. Many existing high order schemes, which may have proven record of accomplishment in terms of their accuracies and efficiencies in handling complex flow fields, will often times facilitate the development of negative density or negative pressure in their efforts to simulate the physics associated with the time evolution of gas detonation flow fields. This effort describes the application of a positivity-preserving density and pressure scheme, named the Integro-Differential scheme (IDS), to the detonation gas dynamic problem. Among the problems of interest to this study are the 1-D shock tube problem, 2-D explosion problem and implosion detonations problems. The purpose of solve 1-D problem is to prove IDS has acceptable numerical stability and less dissipation as a computational fluid dynamics (CFD) scheme. Of particular interest to this paper is the implosion detonations problem. The implosion problem was analyzed on a square domain of dimension: 0 <= x <= 0.3; 0 <= y <= 0.3, with reflecting walls, and with zero initial velocities. The results indicated that the IDS was able to successfully capture the flow physics within the implosion problem. And the wall pressure and temperature data from the 2-D unsteady result and use extract line way to analysis.