Numerical simulations of gas-particle flows with combustion

Nussbaum, Julien; Helluy, Philippe; Hérard, Jean-Marc; Carrière, Alain

doi:10.1007/s10494-006-9028-4

Cited by 30 publications

(25 citation statements)

References 8 publications

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“…Опыт проведения вычислений показал, что применение этой схемы с определе-нием потоков только с помощью метода AUSM+ приводит к потере устойчиво-сти. Это связано с существованием областей отсутствия гиперболичности си-стемы уравнений (1)- (5), которое доказано в работе [19]. Для компенсации это-го эффекта используется расчет потоков по схеме Русанова [25], причем она применяется только для расчета потоков, отвечающих конденсированной фазе.…”

Section: рис 2 структура математических моделей внутрикамерных процunclassified

Genetic Algorythm-Based Methods for Project Synthesis of Ballistic Installations with Hydrodynamic Effect

Bykov¹,

Зеленцов²

2016

HoBMSTU.SME

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Аннотация Ключевые словаПредложен метод автоматизированного поиска рациональ-ных параметров баллистических установок с гидродинами-ческим эффектом. (грант № 16-38-00948 мол_а) Эволюционные алгоритмы в последние годы находят все более широкое приме-нение при решении практических инженерных задач [1]. Задачи выбора рацио-нальных параметров технических устройств регулярно встречаются в различ-ных областях инженерной деятельности. При этом выделяют прямые и обрат-ные задачи или задачи анализа и синтеза. Под прямой задачей понимается определение характеристик устройства по заданным входным параметрам. Об-ратная задача подразумевает нахождение таких входных параметров устрой-ства, которые бы обеспечивали заданные или оптимальные в смысле выбранно-го критерия выходные характеристики. Хорошо известно, что решение задачи синтеза не единственно. В большинстве методов решения обратных задач так или иначе используют решение прямой задачи, причем, как правило, много-кратное. С учетом возможностей современных вычислительных средств слож-ность математических моделей претерпевает существенный рост и, как след-ствие, решение прямых задач становится все более ресурсоемким и затратным по времени. Таким образом, например, методы нахождения оптимальных ре-

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Section: рис 2 структура математических моделей внутрикамерных процunclassified

Genetic Algorythm-Based Methods for Project Synthesis of Ballistic Installations with Hydrodynamic Effect

Bykov¹,

Зеленцов²

2016

HoBMSTU.SME

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“…The convection step is solved by a standard Rusanov scheme [16] already described in many works as [15]. In the second stage, the source terms are applied.…”

Section: Finite Volume Approachmentioning

confidence: 99%

“…The shot base moves according to Newton's law because the bullet is accelerated by the increase of pressure due to the combustion of the powder. For this test case, we have adapted and simplified the physical parameters given in [15]. The mass The momentum source term is given by…”

Section: Simplified Combustion Chambermentioning

confidence: 99%

“…We compare our new compressible model with the classical Gough model described for example in [15]. We obtain the following results for the projectile velocity at the exit time In Figure 16, we compare the pressure evolution at the breech and the shot base of the projectile.…”

Section: Simplified Combustion Chambermentioning

confidence: 99%

“…For academic test cases, we highlight some behavior of the relaxed approach in the case of a non-stable (elliptic) case. We then compare the results of our new approach with the standard Gough model [8,15] in the case of a simplified internal ballistics problem.…”

Section: Introductionmentioning

confidence: 99%

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Hyperbolic relaxation models for granular flows

Gallouët¹,

Helluy²,

Hérard³

et al. 2010

ESAIM: M2AN

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Abstract. In this work we describe an efficient model for the simulation of a two-phase flow made of a gas and a granular solid. The starting point is the two-velocity two-pressure model of Baer and Nunziato [Int. J. Multiph. Flow 16 (1986) . The model is supplemented by a relaxation source term in order to take into account the pressure equilibrium between the two phases and the granular stress in the solid phase. We show that the relaxation process can be made thermodynamically coherent with an adequate choice of the granular stress. We then propose a numerical scheme based on a splitting approach. Each step of the time marching algorithm is made of two stages. In the first stage, the homogeneous convection equations are solved by a standard finite volume Rusanov scheme. In the second stage, the volume fraction is updated in order to take into account the equilibrium source term. The whole procedure is entropy dissipative. For simplified pressure laws (stiffened gas laws) we are able to prove that the approximated volume fraction stays within its natural bounds.Mathematics Subject Classification. 76M12, 65M12.

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Numerical Prediction of Interior Ballistics Performance of Projectile Accelerator Using Granular or Tubular Solid Propellant

Miura

Matsuo

Nakamura

2012

Propellants Explo Pyrotec

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Two‐dimensional axisymmetric interior ballistics simulations in projectile acceleration systems that use granular or long slotted tubular solid propellants are performed using the solid/gas two‐phase fluid dynamics code of the Euler‐Lagrange approach. For validation, the simulation results are compared with experimental data for tubular solid propellants. In the series of the interior ballistics simulations, the propellant grain size and shape effects on the firing performance of 50 mm gun are numerically investigated. The propellant grain size and shape affect the energy release rate of the solid propellant charged in the chamber, the projectile kinetic energy at the muzzle, and even the fluctuations of the chamber pressure history. An appropriate burning surface area of the propellant grain exists, so that the projectile can achieve the maximum kinetic energy from the released energy of the solid propellant. Based on the simulation results, guidelines are proposed for the grain size design that enables the propellant energy to be used efficiently.

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Numerical simulations of gas-particle flows with combustion

Cited by 30 publications

References 8 publications

Genetic Algorythm-Based Methods for Project Synthesis of Ballistic Installations with Hydrodynamic Effect

Genetic Algorythm-Based Methods for Project Synthesis of Ballistic Installations with Hydrodynamic Effect

Hyperbolic relaxation models for granular flows

Numerical Prediction of Interior Ballistics Performance of Projectile Accelerator Using Granular or Tubular Solid Propellant

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