Cell centered direct Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes for nonlinear hyperelasticity
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- 作者：Walter Boscheria ; walter.boscheri@unitn.it" class="auth_mail" title="E-mail the corresponding author ; Michael Dumbser ; a ; michael.dumbser@unitn.it" class="auth_mail" title="E-mail the corresponding author ; Raphaë ; l Loubè ; reb ; raphael.loubere@math.univ-toulouse.fr" class="auth_mail" title="E-mail the corresponding author
- 关键词：High order direct Arbitrary-Lagrangian-Eulerian finite volume schemes ; Hyperbolic conservation laws with stiff source terms and non-conservative products ; High order ADER-WENO schemes on moving unstructured meshes ; Unified first order hyperbolic formulation of continuum mechanics ; Symmetric-hyperbolic Godunov-Peshkov-Romenski model (GPR model) of nonlinear hyperelasticity ; Viscous heat conducting fluids and nonlinear elasto-plastic solids
- 刊名：Computers and Fluids
- 出版年：2016
- 出版时间：1 August 2016
- 年：2016
- 卷：134-135
- 期：Complete
- 页码：111-129
- 全文大小：11780 K
文摘
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High order cell-centered ADER-WENO ALE schemes for nonlinear hyperelasticity (GPR model).
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Thermodynamically compatible symmetric hyperbolic formulation of continuum mechanics.
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The mathematical model applies simultaneously to fluid mechanics and solid mechanics.
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Fluids are treated in the frame of hyperelasticity as generalized visco-plastic solids.
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Test cases for viscous heat conducting fluids and nonlinear elasto-plastic solids.