On direct Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes for the HPR model of nonlinear hyperelasticity

作者: Michael Dumbser , Walter Boscheri , Raphaël Loubère

DOI:

关键词:

摘要: … , for E1 we will use either the ideal gas equation of state … ADER-WENO direct Arbitrary-LagrangianEulerian (ALE) finite volume schemes derived in [10, 28, 11] that we refer to as ADER…

参考文章(53)
Evgenii I. Romenskii, Sergei K. Godunov, Elements of Continuum Mechanics and Conservation Laws ,(2003)
M. Frenkel, Kinetic Theory of Liquids Dover. ,(1955)
D.E. Burton, N.R. Morgan, T.C. Carney, M.A. Kenamond, Reduction of dissipation in Lagrange cell-centered hydrodynamics (CCH) through corner gradient reconstruction (CGR) Journal of Computational Physics. ,vol. 299, pp. 229- 280 ,(2015) , 10.1016/J.JCP.2015.06.041
Michael Dumbser, Eleuterio F. Toro, A Simple Extension of the Osher Riemann Solver to Non-conservative Hyperbolic Systems Journal of Scientific Computing. ,vol. 48, pp. 70- 88 ,(2011) , 10.1007/S10915-010-9400-3
Michael Dumbser, Martin Käser, Vladimir A. Titarev, Eleuterio F. Toro, Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems Journal of Computational Physics. ,vol. 226, pp. 204- 243 ,(2007) , 10.1016/J.JCP.2007.04.004
Pierre-Henri Maire, Rémi Abgrall, Jérôme Breil, Raphaël Loubère, Bernard Rebourcet, A nominally second-order cell-centered Lagrangian scheme for simulating elastic–plastic flows on two-dimensional unstructured grids Journal of Computational Physics. ,vol. 235, pp. 626- 665 ,(2013) , 10.1016/J.JCP.2012.10.017
Carlos Parés, Numerical methods for nonconservative hyperbolic systems: a theoretical framework. SIAM Journal on Numerical Analysis. ,vol. 44, pp. 300- 321 ,(2006) , 10.1137/050628052
V.A. Titarev, E.F. Toro, ADER schemes for three-dimensional non-linear hyperbolic systems Journal of Computational Physics. ,vol. 204, pp. 715- 736 ,(2005) , 10.1016/J.JCP.2004.10.028