1. High-Order Spectral Difference Method on 3D Unstructured Grids via Mixed Elements
- Author
-
Zihua Qiu, Bin Zhang, Min Xu, and Chunlei Liang
- Subjects
Computer science ,curved wall boundary ,computational fluid dynamics ,Computational fluid dynamics ,Curvature ,01 natural sciences ,010305 fluids & plasmas ,Unstructured grid ,Physics::Fluid Dynamics ,spectral difference method ,Inviscid flow ,0103 physical sciences ,unstructured grid ,0101 mathematics ,Motor vehicles. Aeronautics. Astronautics ,business.industry ,Mathematical analysis ,General Engineering ,TL1-4050 ,Solver ,Grid ,010101 applied mathematics ,Tetrahedron ,mixed elements ,Hexahedron ,business - Abstract
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 presented. A mixed tri-prism and tetrahedral grid is firstly refined using one-level h-refinement to generate a hexahedral grid while keeping the curvature of wall boundaries. The SD method designed for hexahedral elements can subsequently be applied for refining the unstructured grid. Through a series of numerical tests, the present method is high-order accurate for both inviscid and viscous flows is demonstrated; the results obtained for inviscid and viscous compressible flows compare well with other published results.
- Published
- 2019