In this paper, we present a conservative cell-centered Lagrangian Finite Volume scheme for solving the hyperelasticity equations on unstructured multidimensional grids. The starting point of approach is FV discretization named EUCCLHYD and introduced in context hydrodynamics. Here, it combined with posteriori Multidimensional Optimal Order Detection (MOOD) limiting strategy to ensure robustness...

Abstract This paper is on arbitrary high order fully discrete one-step ADER discontinuous Galerkin schemes with subcell finite volume limiters applied to a new class of first hyperbolic reformulations nonlinear dispersive systems based an extended Lagrangian approach introduced by Dhaouadi et al. (Stud Appl Math 207:1–20, 2018), Favrie and Gavrilyuk (Nonlinearity 30:2718–2736, 2017). We conside...

Robert Ader was born on February 20, 1932, in the Bronx, New York, and died at the age of 79 years on December 20, 2011, in Pittsford, NY. Robert (Bob) Ader had an extraordinary impact on the fields of psychology, psychiatry, and psychosomatic medicine in general and psychoneuroimmunology (PNI) in particular. In his 1980 presidential address to the American Psychosomatic Society (1), Bob first ...

Many applications from geosciences require simulations of seismic waves in porous media. Biot's theory poroelasticity describes the coupling between solid and fluid phases introduces a stiff source term, thereby increasing computational cost motivating efficient methods utilising High-Performance Computing. We present novel realisation discontinuous Galerkin scheme with Arbitrary DERivative tim...

We present a splitting method for the one-dimensional Saint-Venant-Exner equations used describing bed evolution in shallow water systems. adapt flux vector approach of Toro and Vazquez-Cend\`on identify one subsystem conservative (advection system) non-conservative (pressure system), both having very simple eigenstructure compared to full system. The final numerical scheme is constructed using...