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 language | English |
|---|---|
| Title of host publication | 47th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition |
| State | Published - Dec 1 2009 |
| Event | 47th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition - Orlando, FL, United States Duration: Jan 5 2009 → Jan 8 2009 |
Other
| Other | 47th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition |
|---|---|
| Country | United States |
| City | Orlando, FL |
| Period | 1/5/09 → 1/8/09 |
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ASJC Scopus subject areas
- Space and Planetary Science
- Aerospace Engineering
Cite this
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 proceeding › Conference contribution
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TY - GEN
T1 - Simulation of flows at all speeds with implicit high-order WENO schemes
AU - Shen, Yiqing
AU - Zha, GeCheng
AU - Wind, Miami
PY - 2009/12/1
Y1 - 2009/12/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=78549277208&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=78549277208&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:78549277208
SN - 9781563479694
BT - 47th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition
ER -