Compact upwind schemes on adaptive octrees

Authors:
Scott M. Murman
Affiliations:
NASA Ames Research Center, Moffett Field, CA, USA
Venue:
Journal of Computational Physics
Year:
2010

Citing 16
Cited 0

An examination of forcing in direct numerical simulations of turbulence

Computers and Fluids
Spectral element multigrid. I. Formulation and numerical results

Journal of Scientific Computing
Local adaptive mesh refinement for shock hydrodynamics

Journal of Computational Physics
The stability of numerical boundary treatments for compact high-order finite-difference schemes

Journal of Computational Physics
Nonlinearly stable compact schemes for shock calculations

SIAM Journal on Numerical Analysis
Efficient implementation of weighted ENO schemes

Journal of Computational Physics
A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems

Journal of Computational Physics
A sequel to AUSM: AUSM+

Journal of Computational Physics
Compact high-order accurate nonlinear schemes

Journal of Computational Physics
Higher order KFVS algorithms using compact upwind difference operators

Journal of Computational Physics
A high order accurate difference scheme for complex flow fields

Journal of Computational Physics
Optimized compact-difference-based finite-volume schemes for linear wave phenomena

Journal of Computational Physics
Adaptive local refinement with octree load balancing for the parallel solution of three-dimensional conservation laws

Journal of Parallel and Distributed Computing - Special issue on dynamic load balancing
High-order finite-difference schemes for numerical simulation of hypersonic boundary-layer transition

Journal of Computational Physics
Low-dissipative high-order shock-capturing methods using characteristic-based filters

Journal of Computational Physics
Numerical Initial Value Problems in Ordinary Differential Equations

Numerical Initial Value Problems in Ordinary Differential Equations

Quantified Score

Hi-index	31.45

Visualization

Abstract

Compact high-order upwind schemes using reconstruction from cell-averages are derived for application with the compressible three-dimensional Navier-Stokes equations. An adaptive-octree mesh, combined with the Adams-Bashforth-Moulton family of predictor-corrector schemes, provides a conservative high-order time-integration platform supporting localized h-refinement and timestep sub-cycling. Numerical examples for smooth flows demonstrate the improvement over explicit upwind schemes and formal accuracy of the schemes, as well as the behavior in wall-bounded regions, and the resolution of a broad wavenumber spectrum.