High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: Viscous heat-conducting fluids and elastic solids
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- 作者：Michael Dumbsera ; michael.dumbser@unitn.it" class="auth_mail" title="E-mail the corresponding author ; Ilya Peshkovb ; 1 ; peshkov@math.nsc.ru" class="auth_mail" title="E-mail the corresponding author ; Evgeniy Romenskic ; d ; evrom@math.nsc.ru" class="auth_mail" title="E-mail the corresponding author ; Olindo Zanottia ; olindo.zanotti@unitn.it" class="auth_mail" title="E-mail the corresponding author
- 关键词：ADER&ndash ; WENO finite volume schemes ; Arbitrary high-order discontinuous Galerkin schemes ; Path-conservative methods and stiff source terms ; Unified first order hyperbolic formulation of nonlinear continuum mechanics ; Fluid mechanics and solid mechanics ; Viscous compressible fluids and elastic solids
- 刊名：Journal of Computational Physics
- 出版年：2016
- 出版时间：1 June 2016
- 年：2016
- 卷：314
- 期：Complete
- 页码：824-862
- 全文大小：14322 K
文摘
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High order schemes for a unified first order hyperbolic formulation of continuum mechanics.
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The mathematical model applies simultaneously to fluid mechanics and solid mechanics.
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Viscous fluids are treated in the frame of hyper-elasticity as generalized visco-plastic solids.
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Formal asymptotic analysis reveals the connection with the Navier–Stokes equations.
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The distortion tensor A in the model appears to be well-suited for flow visualization.