Skip to main content
OSTI.GOVU.S. Department of Energy Office of Scientific and Technical Information
U.S. Department of Energy
Office of Scientific and Technical Information
 

A face-upwinded spectral element method

Journal Article · · Journal of Computational Physics
 [1];  [1]
  1. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
+ Show Author Affiliations
Here we present a new high-order accurate discretisation on unstructured meshes of quadrilateral elements. Our Face Upwinded Spectral Element (FUSE) method uses the same node distribution as a high-order continuous Galerkin (CG) method, but with a particular choice of node locations within each element and an upwinded stencil on the face nodes. This results in a number of benefits, including fewer degrees of freedom and straight-forward integration with CG. We present the derivation of the scheme and the analysis of its properties, in particular showing stability using von Neumann analysis. We show numerical evidence for its accuracy and efficiency on multiple classes of problems including convection-dominated flows, Poisson's equation, and the incompressible Navier-Stokes equations.
Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
2474876
Alternate ID(s):
OSTI ID: 2294158
Journal Information:
Journal of Computational Physics, Journal Name: Journal of Computational Physics Vol. 503; ISSN 0021-9991
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (12)

A Conservative Staggered-Grid Chebyshev Multidomain Method for Compressible Flows journal April 1996
An Analysis of the Discontinuous Galerkin Method for Wave Propagation Problems journal May 1999
Spectral (Finite) Volume Method for Conservation Laws on Unstructured Grids. Basic Formulation journal May 2002
An Analysis of the Minimal Dissipation Local Discontinuous Galerkin Method for Convection–Diffusion Problems journal March 2007
On the Stability and Accuracy of the Spectral Difference Method journal April 2008
A Proof of the Stability of the Spectral Difference Method for All Orders of Accuracy journal January 2010
On the Quadrature and Weak Form Choices in Collocation Type Discontinuous Galerkin Spectral Element Methods journal May 2010
Spectral difference method for unstructured grids I: Basic formulation journal August 2006
On the accuracy and efficiency of discontinuous Galerkin, spectral difference and correction procedure via reconstruction methods journal February 2014
Runge-Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems journal September 2001
Convergence of Spectral Methods for Nonlinear Conservation Laws journal February 1989
The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems journal December 1998

Similar Records

Navier-Stokes simulation of the flow around an airfoil in Darrieus motion
Journal Article · Wed Nov 30 23:00:00 EST 1994 · Journal of Fluids Engineering; (United States) · OSTI ID:6803233
AIAA Computational Fluid Dynamics Conference, 9th, Buffalo, NY, June 13-15, 1989, Technical Papers
Conference · Sat Dec 31 23:00:00 EST 1988 · OSTI ID:5709790
Streamline upwind scheme for the segregated formulation of the Navier-Stokes equation
Journal Article · Mon Feb 28 23:00:00 EST 1994 · Numerical Heat Transfer. Part B, Fundamentals; (United States) · OSTI ID:7173888

Related Subjects

97 MATHEMATICS AND COMPUTING
high-order methods
spectral elements
unstructured meshes