Modeling primer cord detonation in a forest canopy without a fire

Antonov, V. A.; Гришин, А. М.; Kovalev, Yu. M.; Naimushina, L. Yu.

doi:10.1007/bf00782981

Cited by 4 publications

(1 citation statement)

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“…Для их нахождения воспользуемся законами сохранения (19), (20), (25) или (26). Система законов сохранения замыкается уравнениями состояния ВВ [10][11][12][13] и ПД [14][15][16]:…”

Section: T T T X T P P P X T V V V X T = =unclassified

Equilibrium Mathematical Model of Multicomponent Heterogeneous Media

Ковалев¹,

Шестаковская²,

Kovalev³

et al. 2018

MMPh

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Section: T T T X T P P P X T V V V X T = =unclassified

Equilibrium Mathematical Model of Multicomponent Heterogeneous Media

Ковалев¹,

Шестаковская²,

Kovalev³

et al. 2018

MMPh

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Features of distribution of spherical shock waves in a heterogeneous medium with a chemically active gas phase

Klinacheva¹,

Kovalev²

2018

AIP Conference Proceedings

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Mathematical Modelling of Influence of Circuit Viscosity of Numerical Methods on a Value of the Impulse Transferred by Shock Waves

Kovalev¹,

Pigasov²

2016

Bulletin of the SUSU. MMP

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Â äàííîé ðàáîòå ïðèâîäèòñÿ àíàëèç âëèÿíèÿ øèðèíû ôðîíòà óäàðíîé âîëíû íà âåëè÷èíó èìïóëüñà, ïåðåäàâàåìîãî íåïîäâèaeíîé òâåðäîé ïîâåðõíîñòè. Ïðîôèëü óäàð-íîé âîëíû áûë ðàññ÷èòàí ìîäèôèöèðîâàííûì ìåòîäîì êðóïíûõ ÷àñòèö, êîòîðûé ïîç-âîëÿåò ïðîâîäèòü ðàñ÷åòû ðàñïðîñòðàíåíèÿ óäàðíûõ âîëí áåç ÿâíîãî ââåäåíèÿ èñ-êóññòâåííîé âÿçêîñòè. Ïîêàçàíî, ÷òî øèðèíà ¾ðàçìàçàííîãî¿ ôðîíòà óäàðíîé âîëíû, ðàññ÷èòàííàÿ ìîäèôèöèðîâàííûì ìåòîäîì êðóïíûõ ÷àñòèö, íå çàâèñèò îò èíòåíñèâ-íîñòè óäàðíîé âîëíû. Ïîäîáíàÿ êàðòèíà íàáëþäàåòñÿ, åñëè â ÷èñëåííûõ ìåòîäàõ äëÿ ðàñ÷åòà ïîâåäåíèÿ óäàðíûõ âîëí èñïîëüçóåòñÿ â ÿâíîì âèäå êâàäðàòè÷íàÿ èñêóññòâåí-íàÿ âÿçêîñòü. Äëÿ ïðîâåäåíèÿ ñåðèéíûõ ðàñ÷åòîâ ïî èññëåäîâàíèþ ïåðåäà÷è èìïóëüñà óäàðíûõ âîëí òâåðäîé íåïîäâèaeíîé ñòåíêå, â äàííîé ðàáîòå ïîëó÷åíî àíàëèòè÷åñêîå ðåøåíèå äëÿ ïðîôèëÿ äàâëåíèÿ â óäàðíîì ïåðåõîäå â ñëó÷àå êâàäðàòè÷íîé èñêóññòâåí-íîé âÿçêîñòè â ïåðåìåííûõ Ýéëåðà. Äëÿ óäàðíîé âîëíû ñ òðåóãîëüíûì ïðîôèëåì áûëî ïîêàçàíî, ÷òî âåëè÷èíà èìïóëüñà, ïåðåäàâàåìîãî òâåðäîé ñòåíêå, íå çàâèñèò îò øèðè-íû óäàðíîãî ïåðåõîäà.Êëþ÷åâûå ñëîâà: ÷èñëåííûé ìåòîä; ìàòåìàòè÷åñêàÿ ìîäåëü; çàêîíû ñîõðàíåíèÿ; óäàðíûå âîëíû; ÷èñëî Êóðàíòà. ÂâåäåíèåÀêòèâíîå ïðèìåíåíèå áûñòðîïðîòåêàþùèõ ïðîöåññîâ â ðàçëè÷íûõ îáëàñòÿõ íàó-êè è òåõíèêè òðåáóåò ïîâûøåííîãî âíèìàíèÿ ê îáåñïå÷åíèþ áåçîïàñíîñòè ïðè ðàáîòå íà ñîçäàâàåìûõ óñòàíîâêàõ. Ðàçâèòèå ìàòåìàòè÷åñêèõ ìîäåëåé è óâåëè÷åíèå áûñòðî-äåéñòâèÿ âû÷èñëèòåëüíîé òåõíèêè ïîçâîëÿåò ïðîñ÷èòûâàòü ìíîãèå àâàðèéíûå ñèòóà-öèè. Ïîÿâëåíèå íîâûõ ìàòåìàòè÷åñêèõ ìîäåëåé, ñ îäíîé ñòîðîíû, ñâÿçàíî ñ ïîÿâëåíè-åì íîâûõ ñëîaeíûõ ïðàêòè÷åñêèõ çàäà÷. Ñ äðóãîé ñòîðîíû, ðàçâèòèå âû÷èñëèòåëüíîé òåõíèêè ïîçâîëÿåò ïîëó÷àòü ÷èñëåííûå ðåøåíèÿ äëÿ âñå áîëåå ñëîaeíûõ ìàòåìàòè-÷åñêèõ ìîäåëåé ìåõàíèêè ñïëîøíûõ ñðåä.Ïðîáëåìà îïðåäåëåíèÿ èìïóëüñà, ïåðåäàâàåìîãî óäàðíûìè âîëíàìè òâåðäîé ñòåí-êå, çàêëþ÷àåòñÿ â òîì, ÷òî ñóùåñòâóþùèå ÷èñëåííûå ìåòîäû ðàçìàçûâàþò ôðîíò óäàðíîé âîëíû çà ñ÷åò ñõåìíîé âÿçêîñòè ðàçíîñòíîãî ìåòîäà ëèáî ïóòåì ââåäåíèÿ èñêóññòâåííîé âÿçêîñòè â óðàâíåíèÿ ñîõðàíåíèÿ èìïóëüñà è ýíåðãèè. Åñëè øèðèíà óäàðíîé âîëíû äëÿ ðåàëüíîãî ãàçà èìååò ïîðÿäîê äëèíû ñâîáîäíîãî ïðîáåãà â ãàçå, òî øèðèíà óäàðíîé âîëíû, ïîëó÷àåìàÿ â ðàñ÷åòàõ, ìîaeåò áûòü 5 10 ÿ÷ååê. Ýòî çíà÷èòåëüíî áîëüøå äëèíû ñâîáîäíîãî ïðîáåãà. Ïîÿâëÿåòñÿ ïðîáëåìà äîñòîâåðíîñòè ðåçóëüòàòîâ ðàñ÷åòîâ ïî îïðåäåëåíèþ èìïóëüñà, ïåðåäàâàåìîãî óäàðíûìè âîëíàìè òâåðäîé ñòåíêå, è àäåêâàòíîñòè èõ ðåàëüíîé ñèòóàöèè.Óñïåøíîå ðåøåíèå ìíîãî÷èñëåííûõ çàäà÷ ãàçîâîé äèíàìèêè è àýðîäèíàìèêè ìå-òîäîì êðóïíûõ ÷àñòèö [1]

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Modeling primer cord detonation in a forest canopy without a fire

Cited by 4 publications

References 0 publications

Equilibrium Mathematical Model of Multicomponent Heterogeneous Media

Equilibrium Mathematical Model of Multicomponent Heterogeneous Media

Features of distribution of spherical shock waves in a heterogeneous medium with a chemically active gas phase

Mathematical Modelling of Influence of Circuit Viscosity of Numerical Methods on a Value of the Impulse Transferred by Shock Waves

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