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Exact and approximate solutions of Riemann problems in non-linear elasticityстатья
Статья опубликована в высокорейтинговом журнале
Статья опубликована в журнале из списка Web of Science и/или Scopus- Авторы: Barton P.T., Drikakis D., Romenski E., Titarev V.A.
- Журнал: Journal of Computational Physics
- Том: 228
- Номер: 18
- Год издания: 2009
- Издательство: Academic Press
- Местоположение издательства: United States
- Первая страница: 7046
- Последняя страница: 7068
- DOI: 10.1016/j.jcp.2009.06.014
- Аннотация: Eulerian shock-capturing schemes have advantages for modelling problems involving complex non-linear wave structures and large deformations in solid media. Various numericalmethods now exist for solving hyperbolic conservation laws that have yet to be applied tonon-linear elastic theory. In this paper one such class of solver is examined based uponcharacteristic tracing in conjunction with high-order monotonicity preserving weightedessentially non-oscillatory (MPWENO) reconstruction. Furthermore, a new iterativemethod for finding exact solutions of the Riemann problem in non-linear elasticity is presented. Access to exact solutions enables an assessment of the performance of the numerical techniques with focus on the resolution of the seven wave structure. The governingmodel represents a special case of a more general theory describing additional physics suchas material plasticity. The numerical scheme therefore provides a firm basis for extensionto simulate more complex physical phenomena. Comparison of exact and numerical solutions of one-dimensional initial values problems involving three-dimensional deformations is presented
- Добавил в систему: Титарев Владимир Александрович