This paper describes a novel subface flux-based Finite Volume (FV) method for discretizing multi-dimensional hyperbolic systems of conservation laws general unstructured grids. The flux numerical approximation relies on the notion simple Eulerian Riemann solver introduced in seminal work [Gallice (2003) [18]]. is constructed from its Lagrangian counterpart by means Lagrange-to-Euler mapping. sy...

In this article, we present and analyze a finite element numerical scheme for three-component macromolecular microsphere composite (MMC) hydrogel model, which takes the form of ternary Cahn–Hilliard-type equation with Flory–Huggins–deGennes energy potential. The approach is based on convex–concave decomposition functional in multi-phase space, logarithmic nonlinear surface diffusion terms are t...

This paper designs and analyzes positivity-preserving well-balanced (WB) central discontinuous Galerkin (CDG) schemes for the Euler equations with gravity. A distinctive feature of these is that they not only are WB a general known stationary hydrostatic solution, but also can preserve positivity fluid density pressure. The standard CDG method does possess this feature, while directly applying ...

background cavitary pulmonary tuberculosis (tb) is rare in children. objectives the aim of this study was to evaluate the characteristics of cavitary pulmonary tb in children. patients and methods this retrospective study was conducted on 97 children less than 15 years old with pulmonary tb to assess the clinical characteristics and radiographic findings of patients with cavitary lesions. resul...