A scalable parallel and block-adaptive cubed-sphere grid simulation framework is described for solution of hyperbolic conservation laws in domains between two concentric spheres. In particular, the Euler and ideal magnetohydrodynamics (MHD) equations are considered. Compared to existing cubed-sphere grid algorithms, a novelty of the proposed approach involves the use of a fully multi-dimensiona...

a constitutive model based on two–dimensional unstructured galerkin finite volume method (gfvm) is introduced and applied for analyzing nonlinear behavior of cracked concrete structures in equilibrium condition. the developed iterative solver treats concrete as an orthotropic nonlinear material and considers the softening and hardening behavior of concrete under compression and tension by using...

Multiphase flow in fractured porous media can be described by discrete fracture matrix models that represent the fractures as dimensionally reduced manifolds embedded bulk medium. Generalizing earlier work on this approach we focus immiscible two-phase time-dependent geometries, i.e., itself and aperture of might evolve time. For dynamic geometries kind, neglecting capillary forces, deduce tran...

After introducing the general concept of mimetic differencing, we focus on two specific methodologies, nonoscillatory methods and finite volume approximations. We provide a brief historical account of the development of these two mimetic strategies. We then describe the extension of these strategies to new techniques, a discrete operator calculus and implicit large eddy simulation. In each case...

Florian Haider, Jean-Pierre Croisille, Bernard Courbet. Efficient Implementation of High Order Reconstruction in Finite Volume Methods. J. Fořt, J. Fürst, J. Halama, R. Herbin and F. Hubert. Finite Volumes for Complex Applications : problems and perspectives, Jun 2011, Prague, Czech Republic. Springer, Springer proceedings in mathematics, vol. 4, pp.553-562, 2011, <10.1007/978-3-642-20671-9 58>...

This paper presents a novel semi-implicit hybrid finite volume / element (FV/FE) scheme for the numerical solution of incompressible and weakly compressible Navier-Stokes equations on moving unstructured meshes using direct Arbitrary-Lagrangian-Eulerian (ALE) formulation. The is based suitable splitting governing partial differential into subsystems employs staggered grid arrangement, where pre...