scholarly journals An Efficient, Semi-implicit Pressure-based Scheme Employing a High-resolution Finitie Element Method for Simulating Transient and Steady, Inviscid and Viscous, Compressible Flows on Unstructured Grids

2003 ◽  
Author(s):  
Richard C. Martineau ◽  
Ray A. Berry
Keyword(s):  
High Resolution ◽  
Compressible Flows ◽  
Unstructured Grids ◽  
Viscous Compressible Flows ◽  
Element Method

scholarly journals High-Order Spectral Difference Method on 3D Unstructured Grids via Mixed Elements

2019 ◽  
Vol 37 (5) ◽  
pp. 968-976
Author(s):  
Zihua Qiu ◽  
Min Xu ◽  
Bin Zhang ◽  
Chunlei Liang
Keyword(s):  
Difference Method ◽  
Compressible Flows ◽  
Unstructured Grids ◽  
Viscous Flows ◽  
High Order ◽  
Spectral Difference ◽  
Spectral Difference Method ◽  
Hexahedral Elements ◽  
Tetrahedral Grid ◽  
Viscous Compressible Flows

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.

Entropy Stable Scheme on Two-Dimensional Unstructured Grids for Euler Equations

2016 ◽  
Vol 19 (5) ◽  
pp. 1111-1140 ◽  
Author(s):  
Deep Ray ◽  
Praveen Chandrashekar ◽  
Ulrik S. Fjordholm ◽  
Siddhartha Mishra
Keyword(s):  
High Resolution ◽  
Euler Equations ◽  
Compressible Flows ◽  
Unstructured Grids ◽  
Numerical Dissipation ◽  
Finite Volume Scheme ◽  
Two Dimensional ◽  
Complex Flow ◽  
Reconstruction Procedure ◽  
Entropy Stable

AbstractWe propose an entropy stable high-resolution finite volume scheme to approximate systems of two-dimensional symmetrizable conservation laws on unstructured grids. In particular we consider Euler equations governing compressible flows. The scheme is constructed using a combination of entropy conservative fluxes and entropy-stable numerical dissipation operators. High resolution is achieved based on a linear reconstruction procedure satisfying a suitable sign property that helps to maintain entropy stability. The proposed scheme is demonstrated to robustly approximate complex flow features by a series of benchmark numerical experiments.

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