Jing Gong

TL;DR: A stable and conservative high order multi-block method for the time-dependent compressible Navier-Stokes equations has been developed and stability and conservation are proved using summation-by-parts operators, weak interface conditions and the energy method.

TL;DR: A stable hybrid method for hyperbolic problems that combines the unstructured finite volume method with high-order finite difference methods has been developed andumerical calculations verify that the hybrid method is efficient and accurate.

TL;DR: In this article, a stable and accurate hybrid procedure for fluid flow can be constructed using two separate solvers, one using high order finite difference methods and another using the node-centered unstructured finite volume method.

TL;DR: In this paper, the accuracy, stiffness and reflecting properties of various interface procedures for finite difference methods applied to advection-diffusion problems are investigated, and the analysis and numerical experiments show that there are only minor differences between various methods once a proper parameter choice has been made.

TL;DR: In this article, the accuracy properties of node-centred edge-based finite volume approximations are analyzed and it is shown that these schemes cannot be used on arbitrary grids as is often assumed.