Junction-Generalized Riemann Problem for stiff hyperbolic balance laws in networks: An implicit solver and ADER schemes
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- 作者：Christian Contarinoa ; christian.contarino@unitn.it" class="auth_mail" title="E-mail the corresponding author ; Eleuterio F. Torob ; Gino I. Montecinosc ; Raul Borsched ; Jochen Kalld
- 关键词：Junction-generalized Riemann problem ; ADER schemes ; High-order coupling ; Stiff source term ; Junctions ; Network of hyperbolic balance laws
- 刊名：Journal of Computational Physics
- 出版年：2016
- 出版时间：15 June 2016
- 年：2016
- 卷：315
- 期：Complete
- 页码：409-433
- 全文大小：1994 K
文摘
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We are concerned with stiff hyperbolic balance laws in networks.
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An implicit solver for the junction-generalized Riemann problem is proposed.
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ADER schemes of arbitrary accuracy in space and time for networks are constructed.
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Convergence rates studies of schemes up to fifth order are carried out.
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It is necessary to match the accuracy at junctions to that of the rest of the domain.