Stability analysis of implicit multi-fluid schemes

Robert Francis Kunz, W. K. Cope, S. Venkateswaran

Research output: Contribution to conferencePaper

Abstract

An implicit method has been developed for solving the viscous full multi-fluid equations, which incorporate transport and generation of mass and momentum for each component present in a system. This work presents stability analysis and representative computational results of this algorithm. The stability analyses demonstrate the performance of several iterative schemes applied to the solution of the linearized block system which arises in the fully implicit formulation. These include block Jacobi and symmetric block Gauss-Siedel schemes using two forms of relaxation. A hierarchy of increasing physical complexity is pursued, starting with one-dimensional, two-fluid systems with minimum inter-field dynamic coupling and no mass transfer. These analyses are then extended to systems employing physically important inter-field forces (drag, dispersion, virtual mass). The effects of mass transfer, multiple fields (i. e., nφ > 2) and multiple dimensions are also considered. A two-fluid Navier-Stokes code has been developed guided by the stability analyses. Results generated with this code are presented, which verify the validity of the stability analyses presented for the coupled scheme, and the feasibility of the method for flows of engineering relevance.

Original languageEnglish (US)
Pages1216-1226
Number of pages11
StatePublished - Jan 1 1997
Event13th Computational Fluid Dynamics Conference, 1997 - Snowmass Village, United States
Duration: Jun 29 1997Jul 2 1997

Other

Other13th Computational Fluid Dynamics Conference, 1997
CountryUnited States
CitySnowmass Village
Period6/29/977/2/97

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Fluids
Mass transfer
Drag
Momentum

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

Kunz, R. F., Cope, W. K., & Venkateswaran, S. (1997). Stability analysis of implicit multi-fluid schemes. 1216-1226. Paper presented at 13th Computational Fluid Dynamics Conference, 1997, Snowmass Village, United States.
Kunz, Robert Francis ; Cope, W. K. ; Venkateswaran, S. / Stability analysis of implicit multi-fluid schemes. Paper presented at 13th Computational Fluid Dynamics Conference, 1997, Snowmass Village, United States.11 p.
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Kunz, RF, Cope, WK & Venkateswaran, S 1997, 'Stability analysis of implicit multi-fluid schemes' Paper presented at 13th Computational Fluid Dynamics Conference, 1997, Snowmass Village, United States, 6/29/97 - 7/2/97, pp. 1216-1226.

Stability analysis of implicit multi-fluid schemes. / Kunz, Robert Francis; Cope, W. K.; Venkateswaran, S.

1997. 1216-1226 Paper presented at 13th Computational Fluid Dynamics Conference, 1997, Snowmass Village, United States.

Research output: Contribution to conferencePaper

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Kunz RF, Cope WK, Venkateswaran S. Stability analysis of implicit multi-fluid schemes. 1997. Paper presented at 13th Computational Fluid Dynamics Conference, 1997, Snowmass Village, United States.