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Evaluation of Flux Jacobians in Preconditioned Navier Stokes

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Old   February 6, 2015, 07:58
Default Evaluation of Flux Jacobians in Preconditioned Navier Stokes
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I am trying to formulate an algorithm based on Weiss and Smith Preconditioner, Jonathan M. Weiss and Wayne A. Smith. "Preconditioning applied to variable and constant density flows", AIAA Journal, Vol. 33, No. 11 (1995), pp. 2050-2057, for implementing implicit time stepping Navier Stokes equation for high and low speed flows.
In the paper mentioned above, the Flux F is split using the Roe's Flux difference splitting method. The implicit formulation leads to formation of flux jacobians in the governing equations.
I am unable to find the proper discretization in FVM for preconditioned flux jacobian with Roe formulation. Any help on this matter will be useful!!
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compressible solver, jacobian matrix, navier stoke solver, preconditioning

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