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Computation of flows with shocks using the Spectral Difference method with artificial viscosity, I: Basic formulation and application
Spectral Difference Artifi cial viscosity Compressible fl ows
2015/7/3
The present work combines the Spectral Difference method with an artificial viscosity based approach to enable high-order computation of compressible fluid flows with discontinuities...
A p-multigrid spectral difference method for two-dimensional unsteady incompressible Navier–Stokes equations
Spectral difference method Artifi cial compressibility method Dual time stepping p-Multigrid
2015/7/3
This paper presents the development of a 2D high-order solver with spectral difference method for unsteady incompressible Navier–Stokes equations accelerated by a p-multigrid method. This solver is de...
FLOW INDUCED CYLINDER OSCILLATION AND ITS CONTROL WITH HIGH ORDER SPECTRAL DIFFERENCE METHOD ON DEFORMABLE MESH
SPECTRAL DIFFERENCE METHOD DEFORMABLE MESH
2015/7/3
In the recent work by the authors, high order spectral difference (SD) method has been formulated in a framework with dynamic deformable meshes, and been demonstrated to preserve the design accuracy o...
Simulation of Transitional Flow over Airfoils using the Spectral Difference Method
Simulation Transitional Flow over Airfoils Spectral Difference Method
2015/7/3
This work addresses the simulation of transitional flow over airfoils under low Reynolds number conditions(Rec ≤ 60000). The flow solutions are obtained by means of an Implicit Large Eddy ...
A Proof of the Stability of the Spectral Difference Method for All Orders of Accuracy
High order methods Discontinuous Galerkin Spectral difference Stability proof
2015/7/3
While second order methods for computational simulations of fluid flow provide the basis of widely used commercial software, there is a need for higher order methods for more accurate simu...
Spectral difference method for compressible flow on unstructured grids with mixed elements
Spectral difference method Curved wall boundary Unstructured grid Mixed elements
2015/7/2
This paper presents the development of a 2D solver for inviscid and viscous compressible flows using the spectral difference (SD) method for unstructured grids with mixed elements. A mixed quadr...
High-order accurate simulation of low-Mach laminar flow past two side-by-side cylinders using spectral difference method
Spectral difference method Curved wall boundary Unstructured grid
2015/7/2
This paper reports development of a two-dimensional solver for compressible viscous flow using spectral difference (SD) method and its applications on simulating laminar flow past two side...
Spectral Difference Method for Unstructured Grids II: Extension to the Euler Equations
High-order conservation laws unstructured grids spectral difference spectral collocation method Euler equations.
2015/7/2
An efficient, high-order, conservative method named the spectral difference method has been developed recently for conservation laws on unstructured grids. It combines the best features of struc...
Development of a 3D Viscous Compressible Flow Solver using Spectral Difference Method on Unstructured Hexahedral Grids
Spectral Difference Method Unstructured Hexahedral Grids
2015/6/23
This report presents a three-dimensional high-order Spectral Dierence solver suitable
for Large Eddy Simulation. The solver is based on the formulation of Sun et al. (2007)
implemented on unstructu...
A Proof of the Stability of the Spectral Difference Method for All Orders of Accuracy
Spectral Difference Method Accuracy
2015/6/23
One of the most promising approaches is the
Discontinuous Galerkin (DG) method, for which the theoretical basis has been provided in
a series of papers by Cockburn and Shu [1, 2, 3, 4]. The rapid gr...