The purpose of this work is to propose a novel a posteriori finite volume subcell limiter technique for the Discontinuous Galerkin finite element method for nonlinear systems of hyperbolic conservation laws in multiple space dimensions that works well for arbitrary high order of accuracy in space and time and that does not destroy the natural subcell resolution properties of the DG method. High...

Abstract In this work, we present a novel numerical discretization of variable pressure multilayer shallow water model. The model can be written as hyperbolic PDE system and allows the simulation density driven gravity currents in framework. proposed consists an unlimited arbitrary high order accurate (ADER) Discontinuous Galerkin (DG) method, which is then limited with MOOD paradigm using post...

In this paper, a centred universal high-order finite volume method for solving hyperbolic balance laws is presented. The scheme belongs to the family of ADER methods where Generalized Riemann Problems (GRP) building block. solution these problems carried through an implicit Taylor series expansion, which allows works very well stiff source terms. A von Neumann stability analysis out investigate...

In this article we propose a new class of finite volume schemes of arbitrary accuracy in space and time for systems of hyperbolic balance laws with stiff source terms. The new class of schemes is based on a three stage procedure. First, in order to achieve high order accuracy in space, a nonlinear weighted essentially non-oscillatory reconstruction procedure is applied to the cell averages at t...

• CFD anaerobic digesters models were validated by means of complete RTD curve. Design mixing parameters in digestion should be review. Local are strongly recommended for studies. Second-order moments offer geometrical and local information models. The propeller was found crucial to avoid dead volumes formation. Anaerobic (AD) has become an essential process sludge treatment its optimum perform...