An efficient upwind relaxation–sweeping algorithm for three-dimensional euler equations

GeCheng Zha, Dao Zhi Liu

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

Abstract

An efficient finite—volume algorithm for three—dimensional Euler equations is presented. The spacial discretization is based on Van Leer's flux vector splitting. The flow field is analyzed by alternating sweeping in the spanwise direction and local Gauss-Seidel iteration on each vertical streamwise plane. Very large time step can be obtained since no factorization error is introduced and it leads to very rapid convergence rate. The memory resources are greatly saved since the Jacobians, the residual R and the δUn+1 are stored only in one iterating plane. Two internal transonic flows are calculated to show the efficiency and accuracy.

Original languageEnglish (US)
Title of host publication28th Aerospace Sciences Meeting, 1990
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
StatePublished - 1990
Externally publishedYes
Event28th Aerospace Sciences Meeting, 1990 - Reno, United States
Duration: Jan 8 1990Jan 11 1990

Other

Other28th Aerospace Sciences Meeting, 1990
CountryUnited States
CityReno
Period1/8/901/11/90

Fingerprint

Transonic flow
Euler equations
Factorization
Flow fields
Fluxes
Data storage equipment

ASJC Scopus subject areas

  • Aerospace Engineering

Cite this

Zha, G., & Liu, D. Z. (1990). An efficient upwind relaxation–sweeping algorithm for three-dimensional euler equations. In 28th Aerospace Sciences Meeting, 1990 [AIAA-90-0129] American Institute of Aeronautics and Astronautics Inc, AIAA.

An efficient upwind relaxation–sweeping algorithm for three-dimensional euler equations. / Zha, GeCheng; Liu, Dao Zhi.

28th Aerospace Sciences Meeting, 1990. American Institute of Aeronautics and Astronautics Inc, AIAA, 1990. AIAA-90-0129.

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

Zha, G & Liu, DZ 1990, An efficient upwind relaxation–sweeping algorithm for three-dimensional euler equations. in 28th Aerospace Sciences Meeting, 1990., AIAA-90-0129, American Institute of Aeronautics and Astronautics Inc, AIAA, 28th Aerospace Sciences Meeting, 1990, Reno, United States, 1/8/90.
Zha G, Liu DZ. An efficient upwind relaxation–sweeping algorithm for three-dimensional euler equations. In 28th Aerospace Sciences Meeting, 1990. American Institute of Aeronautics and Astronautics Inc, AIAA. 1990. AIAA-90-0129
Zha, GeCheng ; Liu, Dao Zhi. / An efficient upwind relaxation–sweeping algorithm for three-dimensional euler equations. 28th Aerospace Sciences Meeting, 1990. American Institute of Aeronautics and Astronautics Inc, AIAA, 1990.
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