Shock Wave Detection Based on the Theory of Characteristics

Kanamori, Masashi; Suzuki, Kojiro

doi:10.1007/978-3-319-68427-7_8

Cited by 3 publications

(1 citation statement)

References 17 publications

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“…A further obstacle is finite shock thickness, as a shock extends over several mean free paths [Oð10Þ] and the mean free path in rarefied flow is long. 39 Kanamori and Suzuki 40,41 proposed to detect the shocks as a singularity in the characteristics field given by the local unit vectors in the direction dz=dx from Eqs. ( 6) and (7).…”

Section: Detection Of Shocks and Characteristicsmentioning

confidence: 99%

The interaction of parallel and inclined planar rarefied sonic plumes—From free molecular to continuum regime

et al. 2021

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Section: Detection Of Shocks and Characteristicsmentioning

confidence: 99%

The interaction of parallel and inclined planar rarefied sonic plumes—From free molecular to continuum regime

et al. 2021

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Basic Elements of Unstructured Shock-Fitting: Results Achieved and Future Developments

Paciorri

Bonfiglioli

2017

Shock Wave and High Pressure Phenomena

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Visualization of gas dynamics discontinuities in supersonic flows using digital image processing methods

Булат

Волков

2019

Numerical Methods and Programming (Vychislitel'nye Metody I Programmirovanie)

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Рассматриваются подходы к выделению особенностей газодинамических полей, полученных при помощи методов сквозного счета. Для определения положения и типа разрыва из численного решения привлекаются идеи и методы цифровой обработки изображений, в частности методы выделения контуров объектов, основанные на разрывах яркости изображения. Для классификации газодинамических разрывов (нормальные ударные волны, косые ударные волны, тангенциальные разрывы, контактные разрывы) используются условия динамической совместности. Разработанный подход применим к результатам расчетов, полученных любым методом сквозного счета, облегчая и ускоряя обработку результатов численного моделирования, а также повышая объективность интерпретации полученных результатов. Приводятся примеры визуализации газодинамических разрывов, возникающих при дифракции и рефракции ударных волн. A number of approaches to the detection of features of gas dynamics fields obtained with shockcapturing methods are considered. In order to determine the location and type of gas dynamic discontinuities from the numerical solution, the ideas and methods of digital image processing are applied, in particular, the methods of detection of image contours based on the brightness of the image. Conditions of dynamic compatibility are used to classify gas the dynamic discontinuities, such as the normal shock waves, the oblique shock waves, the tangential discontinuities, the contact discontinuities, and the compression waves. The developed approach is not dependent on a specific type of the problem to be solved and is applicable to the calculations obtained with any shockcapturing method, facilitating and speeding up the processing of simulation results and increasing the objectivity of the interpretation of the results. Some examples of visualization of gas dynamic discontinuities arising in the diffraction and refraction of shock waves are given.

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Shock Wave Detection Based on the Theory of Characteristics

Cited by 3 publications

References 17 publications

The interaction of parallel and inclined planar rarefied sonic plumes—From free molecular to continuum regime

The interaction of parallel and inclined planar rarefied sonic plumes—From free molecular to continuum regime

Basic Elements of Unstructured Shock-Fitting: Results Achieved and Future Developments

Visualization of gas dynamics discontinuities in supersonic flows using digital image processing methods

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