In computational fluid dynamics, curvilinear elements are frequently used to fit boundaries.
Metric terms are involved by the map from these curvilinear elements to the standard …

A locally conservative, hybrid spectral difference method (HSD) is presented and analyzed
for the Poisson equation. The HSD is composed of two types of finite difference …

In the present study, a spectral difference (SD) method is developed for viscous flows on
meshes with a mixture of triangular and quadrilateral elements. The standard SD method for …

This chapter describes two related methods, the spectral volume and spectral difference
methods for hyperbolic conservation laws. Similar to the discontinuous Galerkin method …

High-order spectral difference gas-kinetic schemes (SDGKS) are developed for inviscid and
viscous flows on unstructured quadrilateral meshes. Rather than the traditional Riemann …

高精度方法在多种网格单元上的推进是一个难点. 提出了一种基于高精度谱差分格式(SD)
的三维混合网格求解方法, 用于求解三棱柱/四面体混合网格. 通过一阶h⁃ 加密方法对混合网格 …

The high-order methods is difficultly applied in various elements. The development of a 3D
solver by using the spectral difference method of unstructured grids via mixed elements is …