A transient pipeline flow model with gas composition tracking is solved for studying the
operation of a natural gas pipeline under nonisothermal flow conditions in a hydrogen …

We present a high-order sharp treatment of immersed moving domain boundaries and
material interfaces, and apply it to the advection-diffusion equation in two and three …

In this paper, we study the stability of a numerical boundary treatment of high order compact
finite difference methods for parabolic equations. The compact finite difference schemes …

We describe a new approach to derive numerical approximations of boundary conditions for
high-order accurate finite-difference approximations. The approach, called the local …

WENO schemes have high-resolution and great capability of capturing unsteady and non-
linear phenomena. These phenomena occur in elaborated flows, such as cascade and …

We address the issue of point value reconstructions from cell averages in the context of third-
order finite volume schemes, focusing in particular on the cells close to the boundaries of the …

In this paper, a new type of inverse Lax-Wendroff boundary treatment is designed for high
order finite difference schemes for solving general convection-diffusion equations on time …

In this paper, we take a numerical simulation of a complex moving rigid body under the
impingement of a shock wave in three-dimensional space. Both compressible inviscid fluid …

In this paper, we design a new kind of high order inverse Lax-Wendroff (ILW) boundary
treatment for solving hyperbolic conservation laws with finite difference method on a …

High order accurate Hermite methods for the wave equation on curvilinear domains are
presented. Boundaries are treated using centered compatibility conditions rather than more …