Simulation of flows at all speeds with implicit high-order WENO schemes

Yiqing Shen, GeCheng Zha, Miami Wind

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

In this paper, an unified high-order algorithm for all speeds is developed. The preconditioning matrix of Weiss and Smith combined with a 5th-order WENO scheme for inviscid flux and a fully conservative 4th order central differencing for viscous terms are employed. The unfactored implicit Gauss-Seidel relaxation scheme is used for time marching. The numerical simulation of a natural convective cavity flow, subsonic flow, transonic and supersonic flows show that the high order preconditioning method is efficient, robust, and accurate for both low speed incompressible flows and high speed compressible flows.

Original languageEnglish
Title of host publication47th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition
StatePublished - Dec 1 2009
Event47th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition - Orlando, FL, United States
Duration: Jan 5 2009Jan 8 2009

Other

Other47th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition
CountryUnited States
CityOrlando, FL
Period1/5/091/8/09

Fingerprint

preconditioning
time marching
subsonic flow
cavity flow
compressible flow
transonic flow
supersonic flow
incompressible flow
low speed
simulation
Subsonic flow
Transonic flow
Supersonic flow
Compressible flow
Incompressible flow
high speed
cavity
matrices
Fluxes
matrix

ASJC Scopus subject areas

  • Space and Planetary Science
  • Aerospace Engineering

Cite this

Shen, Y., Zha, G., & Wind, M. (2009). Simulation of flows at all speeds with implicit high-order WENO schemes. In 47th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition [2009-1312]

Simulation of flows at all speeds with implicit high-order WENO schemes. / Shen, Yiqing; Zha, GeCheng; Wind, Miami.

47th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition. 2009. 2009-1312.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Shen, Y, Zha, G & Wind, M 2009, Simulation of flows at all speeds with implicit high-order WENO schemes. in 47th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition., 2009-1312, 47th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, Orlando, FL, United States, 1/5/09.
Shen Y, Zha G, Wind M. Simulation of flows at all speeds with implicit high-order WENO schemes. In 47th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition. 2009. 2009-1312
Shen, Yiqing ; Zha, GeCheng ; Wind, Miami. / Simulation of flows at all speeds with implicit high-order WENO schemes. 47th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition. 2009.
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