Numerical Computation of Detonation Stability

الموضوعات

إحصاء

الملخص

Detonation is a supersonic mode of combustion that is modeled by a system of conservation laws of compressible fluid mechanics coupled with the equations describing thermodynamic and chemical properties of the fluid. Mathematically, these governing equations admit steady-state travelling-wave solutions consisting of a leading shock wave followed by a reaction zone. However, such solutions are often unstable to perturbations and rarely observed in laboratory experiments.The goal of this work is to study the stability of travelling-wave solutions of detonation models by the following novel approach. We linearize the governing equations about a base travelling-wave solution and solve the resultant linearized problem using high-order numerical methods. The results of these computations are postprocessed using dynamic mode decomposition to extract growth rates and frequencies of the perturbations and predict stability of travelling-wave solutions to infinitesimal perturbations.We apply this approach to two models based on the reactive Euler equations for perfect gases. For the first model with a one-step reaction mechanism, we find agreement of our results with the results of normal-mode analysis. For the second model with a two-step mechanism, we find that both types of admissible travelling-wave solutions exhibit the same stability spectra.Then we investigate the Fickett’s detonation analogue coupled with a particular reaction-rate expression. In addition to the linear stability analysis of this model, we demonstrate that it exhibits rich nonlinear dynamics with multiple bifurcations and chaotic behavior.

روابط وملفات

التعريف والنوع

رقم الوثيقة

fbd3befb-4ccb-4932-a2ec-1de372f1c007

رقم العقد

0

نوع الوسائط

Crawler

نوع المحتوى

الرسائل العلمية

صيغة المصدر

رسائل دكتوراة

نوع الملف

pdf text

أسماء الملفات

1699044_1.pdf

بيانات النشر

ألقاب المؤلفين

[{"name_ar":"اسلان كسيموف","title_ar":"اشراف","title_en":"Supervision"},{"name_ar":"ديمتري كابانوف","title_ar":"اعداد","title_en":"Preparation"}]

اللغة

English

المصدر والدورية

اسم المصدر

Numerical Computation of Detonation Stability

المحتوى والصفحات

عدد الصفحات

0

كلمات الباحثين

Dynamic mode decomposition , Fluid dynamics , Hydrodynamic stability

إشراف وإعداد

الإشراف

اسلان كسيموف

الإعداد

ديمتري كابانوف

الاقتباسات الببليوغرافية