Parallel Computational Algorithm of a Cartesian Grid Method for Simulating the Interaction of a Shock Wave and Colliding Bodies

Author(s):  
Dmitry A. Sidorenko ◽  
Pavel S. Utkin
Author(s):  
Д.А. Сидоренко ◽  
П.С. Уткин

Статья посвящена разработке, программной реализации и количественной оценке свойств вычислительного алгоритма метода декартовых сеток для математического моделирования распространения ударных волн в областях сложной формы с криволинейными границами. Представлено подробное описание вычислительного алгоритма, основанного на методе "h-ячеек''. Работоспособность алгоритма продемонстрирована на задачах о регулярном и простом маховском отражении ударной волны от клина, а также о взаимодействии ударной волны с цилиндром. This paper is devoted to the development, software implementation, and quantitative estimation of a numerical algorithm based on the Cartesian grid method for the mathematical modeling of shock wave propagation in domains of complex shape with curvilinear boundaries. A detailed description of an algorithm based on the method of ``h-boxes'' is given. The efficiency of the algorithm is analyzed on the problems of regular and single Mach reflection of a shock wave from a wedge as well as on the problem of shock wave/cylinder interaction.


Author(s):  
В.В. Елесин ◽  
Д.А. Сидоренко ◽  
П.С. Уткин

Статья посвящена разработке и количественной оценке свойств вычислительного алгоритма метода декартовых сеток для трехмерного математического моделирования распространения ударных волн в областях сложной изменяющейся формы. Представлено подробное описание вычислительного алгоритма, ключевым элементом которого является определение численного потока через грани, по которым внутренние, регулярные ячейки расчетной области соседствуют с внешними, пересекаемыми границами тел ячейками. Работоспособность алгоритма продемонстрирована в результате сравнения рассчитанных и экспериментальных данных в задачах о взаимодействии ударной волны с неподвижной сферой и подвижной частицей. This paper is devoted to the development and quantitative estimation of a numerical algorithm based on the Cartesian grid method for the threedimensional mathematical simulation of shock wave propagation in domains of complex varying shapes. A detailed description of the numerical algorithm is presented. Its key element is the specification of numerical fluxes through the edges that are common for the inner regular cells of the computational domain and the outer cells intersected by the boundaries of the bodies. The efficiency of the algorithm is shown by comparing the numerical and experimental data in the problems of interaction of a shock wave with a fixed sphere and a moving particle.


Author(s):  
V. V. Elesin ◽  
D. A. Sidorenko ◽  
P. S. Utkin

This paper is devoted to the development and quantitative evaluation of the properties of the numerical algorithm of the Cartesian grid method for three-dimensional (3D) simulation of shock-wave propagation in areas of varying shape. The detailed description of the algorithm is presented. The algorithm is relatively simple to implement and does not require solving the problem of determination of the shape of the body’s boundary intersection with regular computational cell. The accuracy of the algorithm is demonstrated by comparing the simulated and experimental data in the problems of the interaction of a shock wave (SW) with a nonmoving sphere and a moving particle.


AIAA Journal ◽  
2005 ◽  
Vol 43 (1) ◽  
pp. 76-86 ◽  
Author(s):  
Jo-Einar Emblemsvag ◽  
Ryuta Suzuki ◽  
Graham V. Candler

Author(s):  
Nobuyuki Isoshima ◽  
Takayuki Fujimoto ◽  
Yukinobu Abe ◽  
Masatoshi Watanabe ◽  
Yoshiaki Yamauchi ◽  
...  

High-performance, simple cooling structures for optical disc drives compatible with the Blu-ray disc (BD) were developed using unsteady numerical flow simulation based on the Cartesian grid method. In the new structure, an additional hole in the tray outside of the disc induced a secondary upward flow, which is caused by a pressure difference and rotating-disc flow. The secondary flow decreases the ambient air-temperature of the laser diode below the hole, and furthermore it increases the velocity around the laser diode and enhances the heat transfer rate. The experimental results indicate that the cooling effect of the laser diode increases, and the disc vibration is not influenced by the additional hole in the tray. The cooling structures are applied to the so-called super-multi BD drive, which achieved 4X high-speed recording for the first time in the industry.


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