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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 4, Pages 722–733 (Mi zvmmf14)  
This article is cited in 4 scientific papers (total in 4 papers)

Ray expansions of solutions around fronts as a shock-fitting tool for shock loading simulation

E. A. Gerasimenkoa, A. V. Zavertanb

a Institute for Automation and Control Processes, Far East Division, ul. Radio 5, Vladivostok, 690041, Russia
b Vladivostok State University of Economics and Service, ul. Gogolya 39a, Vladivostok, 690600, Russia
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Abstract: In shock loading computations based on an implicit finite-difference scheme, the surfaces of velocity discontinuity and the discontinuity sizes are determined by computing an asymptotic (ray) expansion of the solution behind the front surfaces at every time step. The method for constructing ray expansions is based on a recurrence formulation of the geometric and kinematic consistency conditions for discontinuities of the derivatives of functions that are discontinuous on a moving surface. The algorithm is illustrated by computing a simple example of the out-of-plane motion of an incompressible elastic medium.
Key words: shock-fitting techniques, ray method, nonlinear elasticity, shock waves, gasdynamic simulation.
Received: 10.04.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 4, Pages 698–709
DOI: https://doi.org/10.1134/S0965542509040149
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: E. A. Gerasimenko, A. V. Zavertan, “Ray expansions of solutions around fronts as a shock-fitting tool for shock loading simulation”, Zh. Vychisl. Mat. Mat. Fiz., 49:4 (2009), 722–733; Comput. Math. Math. Phys., 49:4 (2009), 698–709
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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